Boolean Logic cannot deal with infinitely many objects

[phoenixthoth]

organic,
i remember that as well. of course if all you want to do is work with money, all you need is rational numbers. if you want to work with higher physics, you need the complex numbers gauss helped introduce. i don't know what conway's surreal numbers are good for but they are interesting and isn't that enough? hyperreal numbers can actually be used to prove statements in real analysis, though every analyst I've spoken with says they'd rather use real analysis. i will always encourage the search for something new even though i think that the search may just be a frustrating effort of spinning one's wheels and not doing anything essentially new. but why discourage the attempt? often when one does something like that, it gives them better understanding of the rules they are bending, of regular numbers.

phoenix

 

[Organic]

Hi Russell E. Rierson,


Pure Math does not use 'time or 'process' as a part of its system, so if we are talking about the dimensions of a macro system like the universe (where the word 'dynamic' has a meaning) I think we can use the combination "dynamic results" .

In this case I am talking about using another way to look on dimensions, which is not static and it is not based on integers.

 

[moshek]

Organic mathematics

You are an amassing thinker, Russell E. Rierson.
And my first opinion is Thank you.

Moshek

 

[Organic]

Dear phoenixthoth,

We will never know if we don't go.

 

[moshek]

A non Euclidian mathematics.

It is the time to go
for Hilbert vision.

Moshek

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The organic unity of mathematics is inherent in the nature of this science, for mathematics is the foundation of all exact knowledge of natural phenomena. That it may completely fulfil this high mission, may the new century bring it gifted masters and many zealous and enthusiastic disciples!

D.Hilbert 1900

 

[moshek]

Dear Organic,

It was proved by Franklin 1934 that you need 6 color in general to color a map in Klein bottle. The geometry shape in 4 dimension of Non-Euclidian mathematics . That represent the duality ( symbol, action) of any concept in mathematics a it appear in numbers. they are meet in the two size of the bottle as in your complementary theory. by positive interpretation to Godel theorem (1931) and by this present a solution to Hilbert 6 problem (1900 Paris).

your's

Moshek