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</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 \u2026 including perception, of course \u2026 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[\u03ee]. 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>[\u03ee] <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>