Re: New Elements (Kaina Stoicheia) -- Commentary

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NEKS.  Commentary Note 2

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Re: NEKS 1.      http://stderr.org/pipermail/inquiry/2012-July/003920.html
Re: NEKS-COM 1.  http://stderr.org/pipermail/inquiry/2012-July/003921.html

Let's look again at the sequence of phrases I extracted from the opening of Peirce's piece:

CSP: "New Elements of Mathematics" ... was written in the strictest mathematical style

CSP: I have lost the power of writing about logic in mathematical style

CSP: In losing the power of writing this style, I have equally lost my admiration of it.

CSP: I beg permission to offer a criticism of the mathematical style in logic.

CSP: I say in "logic", because it is only with a view of presenting the
      logic of the subject that mathematicians employ the Euclidean style.
      When they are simply intent on the solution of difficult problems
      they forget all about it.

We find Peirce writing in many different styles throughout his life, and though the mix of styles may vary -- I think 
depending more on his envisioned audience than any personal developmental factors -- I see no evidence from looking at 
his other work in this period that Peirce has truly "lost the power of writing about logic in mathematical style".  But 
I don't think it's only self-deprecation arising from disappointed expectations or an attempt to disarm his internalized 
critics -- publishers and pupils and parental imagoes -- but that he is genuinely intent on carrying out what we might 
title "The Critique of Mathematical Style in Logic".

Criticism involves comparison, the ability to see alternative ways of reaching a goal with an eye to choosing the best.

This brings us to issues that have been discussed in contemporary terms under the following headings:

1.  critical thinking
2.  values clarification
3.  experiential learning
4.  learning how to learn
5.  inquiry based learning
6.  the reflective practitioner
7.  insight learning vs. rote learning
8.  learning by doing vs. learning by being told
9.  order of discovery vs. order of presentation

To be continued ...

Jon

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