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Re: Outline: A Program to establish the continuity of points in a line
Posted:
Feb 2, 2013 4:22 PM
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On Feb 2, 1:02 pm, "Ross A. Finlayson" <ross.finlay...@gmail.com>
wrote:
>
> It might be remiss to not note that of course there are a wide variety
> of mathematical developments over time and in history that don't
> necessarily have as much approbation as they should in the
> contemporary, with Cauchy/Dedekind/Weierstrass in analysis then to
> Cantor, Russell, and Zermelo and Fraenkel in axiomatic foundations as
> "modern". Newton's, Leibniz', and du Bois-Reymond's infinitesimals
> are notably absent from the one (though Leibniz' notation survives),
> and primary notions of Kant, Hegel, Frege, Quine, Popper the other.
> As well, there are modern attempts to formulate these particular
> notions of the integers as infinite and reals as complete that aren't
> the standard, in light of and in extension of the standard, for
> example of Aczel, Priest, Boucher, Paris and Kirby, and Bishop and
> Cheng.
There is one outstanding difference between all of those and the
gibberish you post: All of them can be used to solve actual problems
whereas you still cannot show how to use your nonsense to do even
something as simple as determining the area of a triangle.
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