<div dir="auto">The real numbers are an uncountable set.<br><br><div data-smartmail="gmail_signature">---<br>Frank C. Wimberly<br>140 Calle Ojo Feliz, <br>Santa Fe, NM 87505<br><br>505 670-9918<br>Santa Fe, NM</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Mon, Apr 3, 2023, 3:14 PM Roger Critchlow <<a href="mailto:rec@elf.org">rec@elf.org</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">I'm just noodling around.<div><br></div><div>So it's a collection of innumerable elements which can't be a mathematical set, so you can't use the mathematics founded on sets to analyze it, so what's the paper doing using set based mathematics to count the number of elements in M_t?</div><div><br></div><div>-- rec --</div><div><br></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Sat, Apr 1, 2023 at 12:57 PM Stephen Guerin <<a href="mailto:stephen.guerin@simtable.com" target="_blank" rel="noreferrer">stephen.guerin@simtable.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="auto"><br><br><div class="gmail_quote" dir="auto"><div dir="ltr" class="gmail_attr">On Sat, Apr 1, 2023, 8:29 AM Roger Critchlow <<a href="mailto:rec@elf.org" rel="noreferrer noreferrer" target="_blank">rec@elf.org</a>> wrote:</div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div><br></div><div>I tried to get Bard to talk with me about the adjacent possible (AP) the other day. It agreed that the AP could not be represented as a mathematical set, but it continued to talk about the AP as if it were a set. So it suggested formulating the AP as a graph, or a tree, or as the states of a dynamical system. I pushed for a non-set formalism and it gave me fuzzy sets. I guess I have to try harder.</div></div></blockquote></div><div dir="auto"><br></div><div dir="auto">Roger, Cool. Can you say more about a different formalization you're after? </div><div dir="auto"><br></div><div dir="auto">Stu's Theory Of The Adjacent Possible is currently formalized with an exponentially increasing set</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><a href="https://arxiv.org/abs/2204.14115#" target="_blank" rel="noreferrer">https://arxiv.org/abs/2204.14115#</a><br></div></div><div class="gmail_quote" dir="auto"><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
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