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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal><span style='font-size:11.0pt'>$ sort | uniq -c | sort -n <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal><b><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'>From:</span></b><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'> Friam <friam-bounces@redfish.com> <b>On Behalf Of </b>Steve Smith<br><b>Sent:</b> Friday, March 22, 2024 7:22 PM<br><b>To:</b> friam@redfish.com<br><b>Subject:</b> Re: [FRIAM] the inequities of uniquity<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 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0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;max-width:100%;flex-grow: 1;flex-direction: column'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;min-height: 20px;flex-direction: column;align-items: flex-start;gap: 0.75rem;overflow-x: auto;white-space:pre-wrap;overflow-wrap: break-word'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><p class=MsoNormal style='background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Quantifying Uniquity? I don't remember if I've publicly anecdotalized it but I first learned about the Drake Equation from a LASL (now LANL) old-timer (who was not there but was at least one (Bacon-Erdos) degree of indirection from the event) in about 1982 whilst standing in the location where Enrico Fermi first posed the paradox... I suspect the location was traded out several times (like Lincoln's or Washington's Axe or the Ship of Theseus) until I was in a quonset hut lunchroom that may well not have even been manufactured, much less erected in 1950 when <o:p></o:p></span></p></div></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;min-height: 20px;flex-direction: column;align-items: flex-start;gap: 0.75rem;overflow-x: auto;white-space:pre-wrap;overflow-wrap: break-word'><p class=MsoNormal style='background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Fermi first postulated his paradox? <o:p></o:p></span></p></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;min-height: 20px;flex-direction: column;align-items: flex-start;gap: 0.75rem;overflow-x: auto;white-space:pre-wrap;overflow-wrap: break-word'><p class=MsoNormal style='background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Me: what I was asking for (of GPT below) perhaps was a "drake equation" for uniquity (uniqueness)?<o:p></o:p></span></p></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;min-height: 20px;flex-direction: column;align-items: flex-start;gap: 0.75rem;overflow-x: auto;white-space:pre-wrap;overflow-wrap: break-word'><p class=MsoNormal style='background:white'><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>U</span></i></span><span class=mrel><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>=</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>P</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>D</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>C</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>I</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>S</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>A</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'><o:p></o:p></span></p></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;min-height: 20px;flex-direction: column;align-items: flex-start;gap: 0.75rem;overflow-x: auto;white-space:pre-wrap;overflow-wrap: break-word'><p class=MsoNormal style='background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>For anyone interested in reflecting on the factors in the product, here is my personal (qualitative)estimation:<o:p></o:p></span></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><p class=MsoNormal style='margin-bottom:13.5pt;background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>P(t)=Population is a low-exponent exponential (the product of population growth in the world and the increased literacy within the population)<br>D(t)=Diversity might be a decreasing factor as globalization and other factors assimilate diverse intellectual traditions get assimilated or extincted.<br>C(t)= Connectivity might be growing combinatorically thanks to various factors ranging from socio-cultural mixing to telecommunications technology explosion (qualitative and quantitative)<br>I(t) = Intensity. I'm not sure I want to judge which sense or magnitude to associate... call it a wash?<br>S(t, gp) = Stability (function of time and geopolitics?) Another I don't want to judge, I think S(gp) is a function of C and D? I'll call it (another) wash for the purpose.<br>A(t) = Accessibility. I believe that for the most part this is also a (supra)linear function over time... based primarily on C above?<br><br><br><br><br><o:p></o:p></span></p></blockquote></div></div></div></div></div></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;color:var(--text-primary);--avatar-color: #AB68FF'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;margin-top:5.0pt;margin-bottom:5.0pt;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;justify-content: center;padding:0.5rem 1rem;font-size:1rem;line-height:1.5rem'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;flex: 1 1 0%;gap: 0.75rem;font-size:1rem;line-height:1.5rem'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;flex-shrink: 0;flex-direction: column;align-items: flex-end'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;padding-top:0.125rem'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;height:1.5rem;width:1.5rem;align-items: center;justify-content: center;border-radius: 9999px;overflow:hidden'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;align-items: center;justify-content: center;border-radius: 0.125rem;padding:0.25rem;--tw-text-opacity: 1;color:rgba(255,255,255,var(--tw-text-opacity))'><p class=MsoNormal style='background:#AB68FF'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>ChatGPT<o:p></o:p></span></p></div></div></div></div></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;flex-direction: column'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;user-select: none'><p class=MsoNormal style='background:white'><b><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>ChatGPT<o:p></o:p></span></b></p></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;flex-direction: column;gap: 0.25rem'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;max-width:100%;flex-grow: 1;flex-direction: column'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;min-height: 20px;flex-direction: column;align-items: flex-start;gap: 0.75rem;overflow-x: auto;white-space:pre-wrap;overflow-wrap: break-word'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;color:var(--tw-prose-body);max-width:none;--tw-prose-body: var(--text-primary);--tw-prose-headings: var(--text-primary);--tw-prose-lead: var(--text-primary);--tw-prose-links: var(--text-primary);--tw-prose-bold: var(--text-primary);--tw-prose-counters: var(--text-tertiary);--tw-prose-bullets: var(--text-tertiary);--tw-prose-hr: var(--border-xheavy);--tw-prose-quotes: var(--text-primary);--tw-prose-quote-borders: #e5e7eb;--tw-prose-captions: var(--text-secondary);--tw-prose-code: var(--text-primary);--tw-prose-pre-code: #e5e7eb;--tw-prose-pre-bg: #1f2937;--tw-prose-th-borders: #d1d5db;--tw-prose-td-borders: #e5e7eb;--tw-prose-invert-body: var(--text-primary);--tw-prose-invert-headings: var(--text-primary);--tw-prose-invert-lead: var(--text-primary);--tw-prose-invert-links: var(--text-primary);--tw-prose-invert-bold: var(--text-primary);--tw-prose-invert-counters: var(--text-tertiary);--tw-prose-invert-bullets: var(--text-tertiary);--tw-prose-invert-hr: var(--border-xheavy);--tw-prose-invert-quotes: var(--text-primary);--tw-prose-invert-quote-borders: #374151;--tw-prose-invert-captions: var(--text-secondary);--tw-prose-invert-code: var(--text-primary);--tw-prose-invert-pre-code: #d1d5db;--tw-prose-invert-pre-bg: rgba(0,0,0,.5);--tw-prose-invert-th-borders: #4b5563;--tw-prose-invert-td-borders: #374151;font-size:1rem;overflow-wrap: break-word'><div style='mso-element:para-border-div;border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;background:white'><p style='mso-margin-top-alt:0in;margin-right:0in;margin-bottom:15.0pt;margin-left:0in;background:white;border:none;padding:0in'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Creating a "Drake Equation" for uniqueness—or "uniquity," as you've intriguingly termed it—would involve identifying the factors that contribute to the emergence of unique ideas or concepts, much like the Drake Equation does for extraterrestrial civilizations. While quantifying uniqueness in ideas is inherently more abstract than estimating the number of communicative civilizations in the galaxy, we can propose a framework inspired by the Drake Equation to explore this concept.<o:p></o:p></span></p><p style='mso-margin-top-alt:15.0pt;margin-right:0in;margin-bottom:15.0pt;margin-left:0in;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Let's define </span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>U</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'> as the total number of unique, profound concepts that could potentially be generated within a given cultural or intellectual ecosystem over a specific period. We can then break down </span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>U</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'> into several factors:<o:p></o:p></span></p><p style='mso-margin-top-alt:15.0pt;margin-right:0in;margin-bottom:15.0pt;margin-left:0in;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:none windowtext 1.0pt;padding:0in'>=</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:none windowtext 1.0pt;padding:0in'>×</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:none windowtext 1.0pt;padding:0in'>×</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:none windowtext 1.0pt;padding:0in'>×</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:none windowtext 1.0pt;padding:0in'>×</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:none windowtext 1.0pt;padding:0in'>×</span></span><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;color:black;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>U</span></i></span><span class=mrel><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>=</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>P</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>D</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>C</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>I</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>S</span></i></span><span class=mbin><span style='font-size:16.5pt;font-family:"Times New Roman",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>×</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;color:black;border:solid #E3E3E3 1.0pt;padding:0in'>A</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'><o:p></o:p></span></p><p style='mso-margin-top-alt:15.0pt;margin-right:0in;margin-bottom:15.0pt;margin-left:0in;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Where:<o:p></o:p></span></p></div><div style='mso-element:para-border-div;border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 5.0pt;background:white;margin-left:.25in;margin-right:0in'><ul style='margin-top:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;flex-direction: column' type=disc><li class=MsoNormal style='color:black;margin-left:-.25in;mso-list:l1 level1 lfo1;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;border:solid #E3E3E3 1.0pt;padding:0in'>P</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> = Population engaged in creative or intellectual pursuits.<o:p></o:p></span></li><li class=MsoNormal style='color:black;margin-left:-.25in;mso-list:l1 level1 lfo1;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;border:solid #E3E3E3 1.0pt;padding:0in'>D</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> = Diversity of thought within the population, representing different cultural, disciplinary, and individual perspectives.<o:p></o:p></span></li><li class=MsoNormal style='color:black;margin-left:-.25in;mso-list:l1 level1 lfo1;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;border:solid #E3E3E3 1.0pt;padding:0in'>C</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> = Connectivity among the population, reflecting the ability to share and combine ideas.<o:p></o:p></span></li><li class=MsoNormal style='color:black;margin-left:-.25in;mso-list:l1 level1 lfo1;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;border:solid #E3E3E3 1.0pt;padding:0in'>I</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> = Intensity of intellectual exploration, indicating how deeply individuals or societies engage with complex or abstract concepts.<o:p></o:p></span></li><li class=MsoNormal style='color:black;margin-left:-.25in;mso-list:l1 level1 lfo1;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;border:solid #E3E3E3 1.0pt;padding:0in'>S</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> = Stability of the environment, as both too much and too little can either stifle creativity or not give it enough ground to develop.<o:p></o:p></span></li><li class=MsoNormal style='color:black;margin-left:-.25in;mso-list:l1 level1 lfo1;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><span class=katex-mathml><span style='font-size:16.5pt;font-family:"Tahoma",sans-serif;border:none windowtext 1.0pt;padding:0in'>�</span></span><span class=mord><i><span style='font-size:16.5pt;font-family:"KaTeX_Math",serif;border:solid #E3E3E3 1.0pt;padding:0in'>A</span></i></span><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> = Accessibility of information and educational resources, which fuel the generation of new ideas.<o:p></o:p></span></li></ul></div><div style='mso-element:para-border-div;border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;background:white'><h3 style='background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;margin:1rem 0px 0.5rem;color:var(--tw-prose-headings)'><span style='font-size:17.0pt;font-family:"Segoe UI",sans-serif;color:black'>Explaining the Factors:<o:p></o:p></span></h3></div><div style='mso-element:para-border-div;border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 5.0pt;background:white;margin-left:.25in;margin-right:0in'><ul style='margin-top:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;flex-direction: column' type=disc><li style='color:black;margin-top:0in;margin-bottom:0in;margin-left:-.25in;mso-list:l0 level1 lfo2;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;border:solid #E3E3E3 1.0pt;padding:0in'>Population (P):</span></strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> More people potentially means more ideas, but sheer numbers don't guarantee uniqueness. This factor considers not just the global population but specifically those engaged in generating new concepts.<o:p></o:p></span></li><li style='color:black;margin-top:0in;margin-bottom:0in;margin-left:-.25in;mso-list:l0 level1 lfo2;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;border:solid #E3E3E3 1.0pt;padding:0in'>Diversity of Thought (D):</span></strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> This is crucial for uniqueness. A homogeneous group is less likely to generate radically new ideas compared to a diverse group with varied experiences, disciplines, and cultural backgrounds.<o:p></o:p></span></li><li style='color:black;margin-top:0in;margin-bottom:0in;margin-left:-.25in;mso-list:l0 level1 lfo2;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;border:solid #E3E3E3 1.0pt;padding:0in'>Connectivity (C):</span></strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> In today's world, connectivity is higher than ever, facilitating the rapid combination and evolution of ideas. However, the quality of connections matters as much as quantity.<o:p></o:p></span></li><li style='color:black;margin-top:0in;margin-bottom:0in;margin-left:-.25in;mso-list:l0 level1 lfo2;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;border:solid #E3E3E3 1.0pt;padding:0in'>Intensity (I):</span></strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> This reflects the depth of engagement with ideas. Societies or groups that encourage deep, philosophical, or speculative thinking are more likely to generate unique concepts.<o:p></o:p></span></li><li style='color:black;margin-top:0in;margin-bottom:0in;margin-left:-.25in;mso-list:l0 level1 lfo2;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;border:solid #E3E3E3 1.0pt;padding:0in'>Stability (S):</span></strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> A certain level of stability is necessary for complex ideas to develop and be preserved, but too much stability might prevent the emergence of radically new concepts.<o:p></o:p></span></li><li style='color:black;margin-top:0in;margin-bottom:0in;margin-left:-.25in;mso-list:l0 level1 lfo2;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;min-height: 28px'><strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;border:solid #E3E3E3 1.0pt;padding:0in'>Accessibility (A):</span></strong><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif'> Easy access to education, information, and intellectual resources empowers more of the population to contribute to the generation of unique ideas.<o:p></o:p></span></li></ul></div><div style='mso-element:para-border-div;border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;background:white'><h3 style='background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;margin:1rem 0px 0.5rem;color:var(--tw-prose-headings)'><span style='font-size:17.0pt;font-family:"Segoe UI",sans-serif;color:black'>Considerations:<o:p></o:p></span></h3><p style='mso-margin-top-alt:0in;margin-right:0in;margin-bottom:15.0pt;margin-left:0in;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>The "Drake Equation for Uniquity" is, of course, a theoretical and playful exploration rather than a precise mathematical model. The abstract nature of concepts and ideas, combined with the subjective criteria for what constitutes "uniqueness" or "profoundness," makes it challenging to apply strict numerical values to these factors. However, this framework highlights the complexity and interdependence of conditions that foster the creation of unique ideas, mirroring the way the Drake Equation conceptualizes the search for extraterrestrial intelligence.<o:p></o:p></span></p><p style='mso-margin-top-alt:15.0pt;margin-right:0in;margin-bottom:0in;margin-left:0in;background:white;border:none;padding:0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: '><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>By exploring the components that might contribute to the generation of unique, profound concepts, we can appreciate the vast potential for creativity and innovation within and across societies, emphasizing the value of diversity, connectivity, and accessibility in enriching our intellectual and cultural landscapes.<o:p></o:p></span></p></div></div></div></div></div></div></div></div></div></div></div></div></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;padding-top:0.5rem;font-variant-ligatures: normal;font-variant-caps: normal;orphans: 2;text-align:start;widows: 2;-webkit-text-stroke-width: 0px;text-decoration-thickness: initial;text-decoration-style: initial;text-decoration-color: initial;word-spacing:0px'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;flex: 1 1 0%;flex-direction: column'><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;align-items: center'><p class=MsoNormal style='background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'>Apologies for not being able to cut-paste HTML/CSS from GPT into mail more effectively...<o:p></o:p></span></p></div><div style='border:solid #E3E3E3 1.0pt;padding:0in 0in 0in 0in;box-sizing: border-box;--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgba(69,89,164,.5);--tw-ring-offset-shadow: 0 0 transparent;--tw-ring-shadow: 0 0 transparent;--tw-shadow: 0 0 transparent;--tw-shadow-colored: 0 0 transparent;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;display:flex;align-items: center'><p class=MsoNormal style='background:white'><span style='font-size:13.5pt;font-family:"Segoe UI",sans-serif;color:black'><o:p> </o:p></span></p></div></div></div><div><p class=MsoNormal>On 3/22/24 2:50 PM, Steve Smith wrote:<o:p></o:p></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><p>"Unique in a qualified manner"? <o:p></o:p></p><p>FWIW, I prompted (Indra's Net edition) and sent my DALL-E images before I read Dave's entry into this fray... <o:p></o:p></p><p>I have beat GPT and Gemini around the head and shoulders a bit at times to try to get it to expose it's own East/West (or hopefully more subtle and gradated) distribution of knowledge/training/??? but mostly I'd say it reports (given I have the same intrinsic myopias) on "Western" views of "Eastern" thought.<o:p></o:p></p><p>I do wonder if DaveW or anyone else here with more interest or qualifications than I has explored the bi(multi?)modal distribution in the LLMs?<o:p></o:p></p><p>I know EricS at the very least has some significant grounding in linguistics (and semiotics?) and perhaps perspective on the socio cultural implications of language constructions, etc. which might be evidenced in LLMs as-trained by our tech-billionaire (wannabes?) <o:p></o:p></p><p><o:p> </o:p></p><div><p class=MsoNormal>On 3/22/24 12:07 PM, Stephen Guerin wrote:<o:p></o:p></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><div><div><p class=MsoNormal>Are you saying it's unique to a degree? ;-)<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>____________________________________________<br>CEO Founder, Simtable.com<br><a href="mailto:stephen.guerin@simtable.com">stephen.guerin@simtable.com</a> <br><br>Harvard Visualization Research and Teaching Lab<br><a href="mailto:stephenguerin@fas.harvard.edu">stephenguerin@fas.harvard.edu</a><br><br>mobile: (505)577-5828<o:p></o:p></p></div></div><p class=MsoNormal><o:p> </o:p></p><div><div><p class=MsoNormal>On Fri, Mar 22, 2024, 9:31<span style='font-family:"Arial",sans-serif'> </span>AM Prof David West <<a href="mailto:profwest@fastmail.fm">profwest@fastmail.fm</a>> wrote:<o:p></o:p></p></div><blockquote style='border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in'><div><div><p class=MsoNormal><span style='font-family:"Arial",sans-serif'>this is 'unique' only if you exclude Vedic, Buddhist, Taoist, ... thought.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-family:"Arial",sans-serif'><o:p> </o:p></span></p></div><div><p class=MsoNormal><span style='font-family:"Arial",sans-serif'>davew<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-family:"Arial",sans-serif'><o:p> </o:p></span></p></div><div><p class=MsoNormal><span style='font-family:"Arial",sans-serif'><o:p> </o:p></span></p></div><div><p class=MsoNormal>On Fri, Mar 22, 2024, at 9:54 AM, Stephen Guerin wrote:<o:p></o:p></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt' id="m_-1358957021482259866qt"><div><div><p class=MsoNormal>Prompt:<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-family:"Segoe UI",sans-serif;color:#ECECEC;background:#212121'>Express a unique concept. Make it as profound as possible</span><o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal><a href="https://chat.openai.com/share/649bd4ca-f856-451e-83a2-01fc2cfe47fb" target="_blank">https://chat.openai.com/share/649bd4ca-f856-451e-83a2-01fc2cfe47fb</a><o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><div><p class=MsoNormal>On Fri, Mar 22, 2024, 6:50<span style='font-family:"Arial",sans-serif'> </span>AM glen <<a href="mailto:gepropella@gmail.com" target="_blank">gepropella@gmail.com</a>> wrote:<o:p></o:p></p></div><blockquote style='border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in'><div><p class=MsoNormal>I guess the question returns to one's criteria for assuming decoupling between the very [small|fast] and the very [large|slow]. Or in this case, the inner vs. the outer:<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>Susie Alegre on how digital technology undermines free thought<o:p></o:p></p></div><div><p class=MsoNormal><a href="https://freethinker.co.uk/2024/03/interview-susie-alegre/" target="_blank">https://freethinker.co.uk/2024/03/interview-susie-alegre/</a><o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>It would be reasonable for Frank to argue that we can generate the space of possible context definitions, inductively, from the set of token definitions, much like an LLM might. Ideally, you could then measure the expressiveness of those inferred contexts/languages and choose the largest (most complete; by induction, each context/language *should* be self-consistent so we shouldn't have to worry about that).<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>And if that's how things work (I'm not saying it is), then those "attractors" with the finest granularity (very slow to emerge, very resistant to dissolution) would be the least novel. Novelty (uniqueness) might then be defined in terms of fragility, short half-life, missable opportunity. But that would also argue that novelty is either less *real* or that the universe/context/language is very *open* and the path from fragile to robust obtains like some kind of Hebbian reinforcement, use it or lose it, win the hearts and minds or dissipate to nothing.<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>I.e. there is no such thing as free thought. Thought can't decouple from social manipulation.<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>On 3/21/24 13:38, Marcus Daniels wrote:<o:p></o:p></p></div><div><p class=MsoNormal>> In the LLM example, completions from some starting state or none, have specific probabilities. An incomplete yet-unseen (unique) utterance would be completed based on prior probabilities of individual tokens.<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> I agree that raw materialist uniqueness won't necessarily or often override constraints of a situation. For example, if an employer instructs an employee how to put a small, lightweight product in a box, label it, and send it to a customer by UPS, the individual differences metabolism of the employees aren't likely to matter much when shipping more small, lightweight objects to other customers. It could be the case for a professor and student too. The attractors come from the instruction or the curriculum. One choice constrains the next.<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> -----Original Message-----<o:p></o:p></p></div><div><p class=MsoNormal>> From: Friam <<a href="mailto:friam-bounces@redfish.com" target="_blank">friam-bounces@redfish.com</a>> On Behalf Of glen<o:p></o:p></p></div><div><p class=MsoNormal>> Sent: Thursday, March 21, 2024 11:50 AM<o:p></o:p></p></div><div><p class=MsoNormal>> To: <a href="mailto:friam@redfish.com" target="_blank">friam@redfish.com</a><o:p></o:p></p></div><div><p class=MsoNormal>> Subject: Re: [FRIAM] the inequities of uniquity<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> I was arguing with that same friend yesterday at the pub. I was trying to describe how some of us have more cognitive power than others (he's one of them). Part of it is "free" power, freed up by his upper middle class white good diet privilege. But if we allow that some of it might be genetic, then that's a starting point for deciding when novelty matters to the ephemerides of two otherwise analogical individuals (or projects if projects have an analog to genetics). Such things are well-described in twin studies. One twin suffers some PTSD the other doesn't and ... boom ... their otherwise lack of uniqueness blossoms into uniqueness.<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> His objection was that even identical twins are not identical. They were already unique ... like the Pauli Exclusion Principle or somesuch nonsense. Even though it's a bit of a ridiculous argument, I could apply it to your sense of avoiding non-novel attractors. No 2 attractors will be identical. And no 1 attractor will be unique. So those are moot issues. Distinctions without differences, maybe. Woit's rants are legendary. But some of us find happiness in wasteful sophistry.<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> What matters is *how* things are the same and how they differ. Their qualities and values (nearly) orthogonal to novelty.<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal>> On 3/21/24 11:29, Marcus Daniels wrote:<o:p></o:p></p></div><div><p class=MsoNormal>>> If GPT systems capture some sense of "usual" context based on trillions of internet tokens, and that corpus is regarded approximately "global context", then it seems not so objectionable to call "unusual", new training items that contribute to fine-tuning loss.<o:p></o:p></p></div><div><p class=MsoNormal>>><o:p> </o:p></p></div><div><p class=MsoNormal>>> It seems reasonable to worry that ubiquitous GPT systems reduce social entropy by encouraging copying instead of new thinking, but it could also have the reverse effect: If I am immediately aware that an idea is not novel, I may avoid attractors that agents that wrongly believe they are "independent" will gravitate toward.<o:p></o:p></p></div><div><p class=MsoNormal>>><o:p> </o:p></p></div><div><p class=MsoNormal>>> -----Original Message-----<o:p></o:p></p></div><div><p class=MsoNormal>>> From: Friam <<a href="mailto:friam-bounces@redfish.com" target="_blank">friam-bounces@redfish.com</a>> On Behalf Of glen<o:p></o:p></p></div><div><p class=MsoNormal>>> Sent: Thursday, March 21, 2024 7:49 AM<o:p></o:p></p></div><div><p class=MsoNormal>>> To: <a href="mailto:friam@redfish.com" target="_blank">friam@redfish.com</a><o:p></o:p></p></div><div><p class=MsoNormal>>> Subject: Re: [FRIAM] the inequities of uniquity<o:p></o:p></p></div><div><p class=MsoNormal>>><o:p> </o:p></p></div><div><p class=MsoNormal>>> A friend of mine constantly reminds me that language is dynamic, not fixed in stone from a billion years ago. So, if you find others consistently using a term in a way that you think is wrong, then *you* are wrong in what you think. The older I get, the more difficult it gets.<o:p></o:p></p></div><div><p class=MsoNormal>>><o:p> </o:p></p></div><div><p class=MsoNormal>>> But specifically, the technical sense of "unique" is vanishingly rare ... so rare as to be merely an ideal, unverifiable, nowhere, non-existent. So if the "unique" is imaginary, unreal, and doesn't exist, why not co-opt it for a more useful, banal purpose? Nothing is actually unique. So we'll use the token "unique" to mean (relatively) rare.<o:p></o:p></p></div><div><p class=MsoNormal>>><o:p> </o:p></p></div><div><p class=MsoNormal>>> And "unusual" is even worse. Both tokens require one to describe the context, domain, or universe within which the discussion is happening. If you don't define your context, then the "definitions" you provide for the components of that context are not even wrong; they're nonsense. "Unusual" implies a usual. And a usual implies a perspective ... a mechanism of action for your sampling technique. So "unusual" presents even more of a linguistic *burden* than "unique".<o:p></o:p></p></div><div><p class=MsoNormal>>><o:p> </o:p></p></div><div><p class=MsoNormal>>> On 3/20/24 13:14, Frank Wimberly wrote:<o:p></o:p></p></div><div><p class=MsoNormal>>>> What's wrong with "unusual"? It avoids the problem.<o:p></o:p></p></div><div><p class=MsoNormal>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>> On Wed, Mar 20, 2024, 1:55<span style='font-family:"Arial",sans-serif'> </span>PM Steve Smith <<a href="mailto:sasmyth@swcp.com" target="_blank">sasmyth@swcp.com</a> <mailto:<a href="mailto:sasmyth@swcp.com" target="_blank">sasmyth@swcp.com</a>>> wrote:<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> I'm hung up on the usage of qualified "uniqueness" as well, but in perhaps the opposite sense.<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> I agree with the premise that "unique" in it's purest, simplest form does seem to be inherently singular. On the other hand, this mal(icious) propensity of qualifying uniqueness (uniqueish?) is so common, that I have to believe there is a concept there which people who use those terms are reaching for. They are not wrong to reach for it, just annoying in the label they choose?<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> I had a round with GPT4 trying to discuss this, not because I think LLMs are the authority on *anything* but rather because the discussions I have with them can help me brainstorm my way around ideas with the LLM nominally representing "what a lot of people say" (if not think). Careful prompting seems to be able to help narrow down *all people* (in the training data) to different/interesting subsets of *lots of people* with certain characteristics.<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> GPT4 definitely wanted to allow for a wide range of gradated, speciated, spectral uses of "unique" and gave me plenty of commonly used examples which validates my position that "for something so obviously/technically incorrect, it sure is used a lot!"<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> We discussed uniqueness in the context of evolutionary biology and cladistics and homology and homoplasy. We discussed it in terms of cluster analysis. We discussed the distinction between objective and subjective, absolute and relative.<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> The closest thing to a conclusion I have at the moment is:<o:p></o:p></p></div><div><p class=MsoNormal>>>>><o:p> </o:p></p></div><div><p class=MsoNormal>>>>> 1. Most people do and will continue to treat "uniqueness" as a relative/spectral/subjective qualifier.<o:p></o:p></p></div><div><p class=MsoNormal>>>>> 2. Many people like Frank and myself (half the time) will have an allergic reaction to this usage.<o:p></o:p></p></div><div><p class=MsoNormal>>>>> 3. The common (mis)usage might be attributable to conflating "unique" with "distinct"?<o:p></o:p></p></div><div><p class=MsoNormal>> <o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>-- <o:p></o:p></p></div><div><p class=MsoNormal><span style='font-family:"Calibri",sans-serif'>ꙮ</span> M<span style='font-family:"Arial",sans-serif'>ɥ</span>ǝu ǝlǝd<span style='font-family:"Arial",sans-serif'>ɥɐ</span>u<span style='font-family:"Arial",sans-serif'>ʇ</span>s <span style='font-family:"Arial",sans-serif'>ɟᴉƃɥʇ</span>' <span style='font-family:"Arial",sans-serif'>ʇɥ</span>ǝ <span style='font-family:"Calibri",sans-serif'>ƃɹɐ</span>ss sn<span style='font-family:"Arial",sans-serif'>ɟɟ</span>ǝ<span style='font-family:"Arial",sans-serif'>ɹ</span>s˙ <span style='font-family:"Calibri",sans-serif'>ꙮ</span><o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>-. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. .<o:p></o:p></p></div><div><p class=MsoNormal>FRIAM Applied Complexity Group listserv<o:p></o:p></p></div><div><p class=MsoNormal>Fridays 9a-12p Friday St. Johns Cafe / Thursdays 9a-12p Zoom <a href="https://bit.ly/virtualfriam" target="_blank">https://bit.ly/virtualfriam</a><o:p></o:p></p></div><div><p class=MsoNormal>to (un)subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">http://redfish.com/mailman/listinfo/friam_redfish.com</a><o:p></o:p></p></div><div><p class=MsoNormal>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><o:p></o:p></p></div><div><p class=MsoNormal>archives: 5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/" target="_blank">https://redfish.com/pipermail/friam_redfish.com/</a><o:p></o:p></p></div><div><p class=MsoNormal> 1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/" target="_blank">http://friam.383.s1.nabble.com/</a><o:p></o:p></p></div></blockquote></div><div><p class=MsoNormal>-. --- - 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