Date: Jun 3, 2013 11:01 PM Author: ross.finlayson@gmail.com Subject: Re: LOGIC & MATHEMATICS On Jun 3, 3:15 pm, Shmuel (Seymour J.) Metz

<spamt...@library.lspace.org.invalid> wrote:

> In <dknqt.14105$Ju6....@newsfe22.iad>, on 06/01/2013

> at 08:13 AM, Nam Nguyen <namducngu...@shaw.ca> said:

>

> >Agree. Mathematics is just a language,

>

> So far, so good.

>

> >a description, of physics,

>

> No, any more than English is a description of Physics. Mathematics is

> a language that is not about Physics, even if physicists find it

> useful. In fact, part of its utility is its generality.

>

> --

> Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

>

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It's so that mathematics is a tool for the sciences, and that only

what we can express in natural language is in our (or the, or a)

language of mathematics. What is beyond natural language is beyond

what we can construct as a symbolic language. (It's fair to say that

there are infinitely complex objects of the mathematical universe, in

terms of their notation in symbolic language, obviously with a natural

read-out).

Then, the point as above was that true _features_ and _effects_ in the

numbers, would be directly evidenced in physical effect, where the

objects of physics behave according to mathematical laws (as they do,

whatever they are, else there would not be causality, generally, which

there is).

Then, for the plainly logical, with geometry and mathematics and

category as to theories of geometry, numbers, and here sets: then the

total reduction and as well the implications of a reduction that is

total may well be seen as truly fundamental, for each of those and

then all else they describe. Then, the reduction or reductio may well

have that there are structural features, instead of a lack thereof, in

reducing to the origin and reducing to the universe, and necessarily

addressing the duality or generally plurality, of implication, of the

the most basic principles in symmetry and conservation: here of

theories, theoretical-theoretical.

From an axiomless system of natural deduction, here as simply logical

and as the only theory without non-logical axioms, a unique logical

and uniquely logical theory, there is the void: and all.

Then, for application, for continuum mechanics: there is an entire

field of mathematics yet to be discovered, in the polydimensional, for

the natural in the uniform, and the continuous, and the discrete. The

continuous/discrete distinction, and where it's resolved, has much

more in it, for the discovery of features in numbers, as it has been

so ignored, then as to where it's a or the primary subject of research

in mathematics of the infinitesimals: and infinity.

Regards,

Ross Finlayson