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Date Posted: 10:28
Author: anil nerode-27Aug02
Subject: Re: Vedic Mathematics & Prof. Nerode?
In reply to: Eponymous-27Aug02 's message, "Re: Vedic Mathematics & Prof. Nerode?" on 10:27

Having thought about these issues professionally for about 50 years, and knowing everyone alive in that period who has thought about them, I cannot give a brief summary of views. I am willing to say that I believe we have brain structures, the product of evolution, which lead to evaluating external stimuli in certain ways, such as recognizing stright lines, planes, spatial distributions, and sepoarating data into groups. But it is a long jump from there to analyzing the origins of the vast panoply of mathematical structures, ideas, and logic, much of which seems to arise from the faculties of speech, conceptualization, and generally communication, which are also very much biologically based. Ideal visualizations do not imply the existence of ideal realities, so I do not identify with the Platonic view, as I did in my youth before reflecting a long time on these matters. I probably am closest to Kant in my view of the origins of mathematics, and furthest from Hume, closer to Aristotle than Plato, closer to Frege than Russell. These are very profound questions.

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