... From: Dr. Angell O. de la Sierra, Esq. Subject: [Mind and Brain] Re: Paper: Learning by Numbers in the Primate Cortex To:
Message 1 of 6
, Dec 1 4:16 AM
--- On Thu, 11/29/07, Dr. Angell O. de la Sierra, Esq. <Dr.d@...> wrote:
From: Dr. Angell O. de la Sierra, Esq. <Dr.d@...>
Subject: [Mind and Brain] Re: Paper: Learning by Numbers in the Primate Cortex
Date: Thursday, November 29, 2007, 12:55 PM
--- In MindBrain@yahoogrou ps.com, Glen Sizemore <gmsizemore2@ ...> wrote:
"...."Much of what you say is confusing, given that arithmetic predated
Peano, Russell etc., and the last sentence is just plain wrong. "
Dr. d: Greetings Glen.
Dr. g: And a most effusive greeting to you.
Dr. d: Please precise what confuses you.
Dr. g: I'm not sure it is "confusion" so much as puzzlement as to why, when the topic appears to be the "origin of numbers," that you would talk about people arriving so late in human history. Surely the origin of mathematics lay in the need to count, and this probably arose shortly after the agricultural revolution. Admittedly, that is a guess. And I guess there is a bit of disagreement mixed in, even if you can clear up the above issue. Using symbols to deal with "displacements" would have arisen long after counting and simple math arose.
Dr. d: You may also want
to provide the argument and/or reference proving the existence of an
introspective consciousness in sub-human species.
Dr. g: I did, as well as an abstract.
Dr. d: As for your confusion,
try Principia Mathematica (Bertrand Russell) or the definitions provided
by same author for 'induction', the 'ancestor' and 'posterity' of a
natural number in first 2-3 chapters of his book : "Introduction to
Mathematical Philosophy." Once you have mastered the concepts of a
'series' of numbers (characterized by their 'asymmetry', 'transitivity'
and 'connectivity' ) then you will understand how the concept of
'dimension' along a line arises. Happy landing. Dr.d
Dr. g: As I said, "confusion" may not be the best term for my "state." Perhaps "surprise" is better. I am surprised that your post seemed completely off topic given the post. And even if one looks to explain the cultural origin of mathematics (which is certainly a different issue than why individuals “possess math skills” – we have some idea why that is) your post seems orthogonal and just plain wrong.
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