Date: Feb 2, 2013 5:47 PM
Author: ross.finlayson@gmail.com
Subject: Re: Outline: A Program to establish the continuity of points in a line
On Feb 2, 1:22 pm, FredJeffries <fredjeffr...@gmail.com> wrote:

> 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.

This could be done in this program in this manner, establishing:

1) the integer lattice points

2) area bounded by integer lattice points (here 4-many, the unit

square)

3) rationals (here 1/2 particularly for symmetrical complements, then

generally)

4) the triangle (or rather tri-lateral) halving the unit square via

symmetry

5) its area then generally

This has unit hyper-volume of the unit n-cube.

Fred, the area of the triangle is determined by its sides.

Regards,

Ross Finlayson