<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><meta name=Generator content="Microsoft Word 15 (filtered medium)"><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Plain Text Char";
margin:0in;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
span.PlainTextChar
{mso-style-name:"Plain Text Char";
mso-style-priority:99;
mso-style-link:"Plain Text";
font-family:"Calibri",sans-serif;}
.MsoChpDefault
{mso-style-type:export-only;
font-family:"Calibri",sans-serif;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72" style='word-wrap:break-word'><div class=WordSection1><p class=MsoPlainText>Jon, <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>FWIW, to Peirce, Mathematics was a distillation of Logic, and logic a distillation of "right thought"-- how we <b><i>should</i></b> think if we desire to hold that belief most likely to endure. Peirce fuzzed the distinction between the empirical and thegsb logical. All thought … including perception, of course … was in signs, and all signs were inferences. He believed that logic was entangled in every experience, a believe that becomes incontrovertible if you look at the wiring of the visual system, which is obviously and evidently a logic board. <o:p></o:p></p><p class=MsoPlainText>Nick<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Nicholas Thompson<o:p></o:p></p><p class=MsoPlainText>Emeritus Professor of Ethology and Psychology<o:p></o:p></p><p class=MsoPlainText>Clark University<o:p></o:p></p><p class=MsoPlainText>ThompNickSon2@gmail.com<o:p></o:p></p><p class=MsoPlainText>https://wordpress.clarku.edu/nthompson/<o:p></o:p></p><p class=MsoPlainText> <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>-----Original Message-----<br>From: Friam <friam-bounces@redfish.com> On Behalf Of jon zingale<br>Sent: Thursday, October 8, 2020 10:42 AM<br>To: friam@redfish.com<br>Subject: Re: [FRIAM] labels</p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>From the article.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>"Philosophers have always been divided about the roles of logic (formal<o:p></o:p></p><p class=MsoPlainText>reasoning) and, by extension, of mathematics. There have been empiricists who regard reasoning as just a tool to help organize the knowledge that derives from our senses. And there have been rationalists who treat reason as a mode of mystical, direct access to ultimate truths, one which bypasses sense experience."<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>It may be surprising to hear, wrt the paragraph above, I identify as an empiricist. A psychological (particularly phenomenological) grounding for mathematics is very important to me. That we have group theory, IMO, follows from the fact that the world affords us a notion of symmetry (including the recognition of asymmetry). I am to some extent pragmatist in that the symmetries I experience are *good enough* to be ontological objects, and the idea of Symmetry (writ large) is a limit afforded by that pragmatism. Over the last week, I fell down a Piaget hole thanks to a Jordan Peterson lecture at the University of Toronto[Ϯ]. While EricC has done quite a bit over the week to help me to move on from there, I am still left with a deep interest in how we come to develop the repositories of knowledge that we do, Mathematics especially. For me, Mathematics is a theory (in the sense of a systematically organized body of knowledge) and its theorems tell us about the experience and the intimacy of perception.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>[Ϯ] <a href="https://www.youtube.com/watch?v=BQ4VSRg4e8w"><span style='color:windowtext;text-decoration:none'>https://www.youtube.com/watch?v=BQ4VSRg4e8w</span></a><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>--<o:p></o:p></p><p class=MsoPlainText>Sent from: <a href="http://friam.471366.n2.nabble.com/"><span style='color:windowtext;text-decoration:none'>http://friam.471366.n2.nabble.com/</span></a><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>- .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. .<o:p></o:p></p><p class=MsoPlainText>FRIAM Applied Complexity Group listserv<o:p></o:p></p><p class=MsoPlainText>Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com"><span style='color:windowtext;text-decoration:none'>http://redfish.com/mailman/listinfo/friam_redfish.com</span></a><o:p></o:p></p><p class=MsoPlainText>archives: <a href="http://friam.471366.n2.nabble.com/"><span style='color:windowtext;text-decoration:none'>http://friam.471366.n2.nabble.com/</span></a><o:p></o:p></p><p class=MsoPlainText>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/"><span style='color:windowtext;text-decoration:none'>http://friam-comic.blogspot.com/</span></a> <o:p></o:p></p></div></body></html>