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The following is a simplistic article about how mathematicians think.
https://medium.com/cantors-paradise/the-psychology-behind-mathematical-thinking-4fdc3ab32bfe I find the idea behind the article interesting and, when I have time, will follow up trying to find 'real' stuff to read. But, if any of you are feeling generous and would supply me with some pointers or directions; I will really appreciate it. davew - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ |
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I'd like to help you, Dave, but this reminds me of why I returned to math after getting a master's in psychology. All mathematicians agree that the Pythagorean Theorem is true in the Euclidean plane. I'm not sure all psychologists agree about anything. I realize this is more provocative than illuminating. --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Mon, Aug 17, 2020, 8:42 PM Prof David West <[hidden email]> wrote: The following is a simplistic article about how mathematicians think. - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ |
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In reply to this post by Prof David West
Ok, there are various mathematician's blogs, but this one is pretty up front with how she thinks. I particularly appreciate her ability to illustrate her thought processes with diagrams. For examples, I was particularly fond of and I liked the illustrations of more basic stuff as well. For another less, um, colorful reference, I'd direct you to "Drawing Theories Apart", by David Kaiser. Haven't gone into it much, and I doubt it addresses your question as much as the other links, but the brilliant.org folks look interesting. Enjoy! Carl On Mon, Aug 17, 2020 at 8:42 PM Prof David West <[hidden email]> wrote: The following is a simplistic article about how mathematicians think. - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ |
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thank you Carl and Frank. On Mon, Aug 17, 2020, at 10:46 PM, Carl Tollander wrote:
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Silly me; I just discovered that Nicolas Bourbaki — despite publishing numerous papers and authoring a classical math text, inventor of injective, surjective, and bijective functions — did not exist (at least as an individual person). On Tue, Aug 18, 2020, at 7:32 AM, Prof David West wrote:
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Oh, yes. When I was an undergraduate in math at Berkeley I worked in the math library. We had multiple copies of the complete works of Bourbaki (ten or fifteen volumes, three copies each). This group was very important in standardizing math terminology among other things. Graduate students checked those out very frequently. Their choice of math terms appears to be very "Franch" e.g. "surjective" for "onto". Frank On Tue, Aug 18, 2020 at 10:52 AM Prof David West <[hidden email]> wrote:
Frank Wimberly
140 Calle Ojo Feliz Santa Fe, NM 87505 505 670-9918 - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ |
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In reply to this post by Carl Tollander
Thanks for posting Bradley's log! I particularly like her identification of what the enriched density function representation can't (yet) represent.
On 8/17/20 9:46 PM, Carl Tollander wrote: > Ok, there are various mathematician's blogs, but this one is pretty up front with how she thinks. > https://www.math3ma.com > I particularly appreciate her ability to illustrate her thought processes with diagrams. > > For examples, I was particularly fond of > https://www.math3ma.com/blog/the-yoneda-perspective > and > https://www.math3ma.com/blog/at-the-interface-of-algebra-and-statistics > > I liked the illustrations of more basic stuff as well. -- ↙↙↙ uǝlƃ - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/
uǝʃƃ ⊥ glen
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In reply to this post by Carl Tollander
Her blog is pretty great, I very much appreciate her thoughtful exposition.
Back in May, I got on the pre-order list for her book "Topology: A Categorical Approach" (with Tyler Bryson and John Terilla). I am happy to see that it finally arrived in my mailbox today! -- Sent from: http://friam.471366.n2.nabble.com/ - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ |
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Her book is the book I wish I would have had while taking point-set topology.
Chapter 3 is particularly good and well-motivated with thoughtful examples. -- Sent from: http://friam.471366.n2.nabble.com/ - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ |
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