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Topic: Applications of Wmath
Replies: 8   Last Post: Aug 21, 2014 5:02 AM

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Graham Cooper

Posts: 4,280
Registered: 5/20/10
Re: Applications of Wmath
Posted: Aug 21, 2014 5:02 AM
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On Wednesday, August 20, 2014 10:51:38 PM UTC+10, Tommy wrote:
> On Wed, 20 Aug 2014 12:02:27 +0200, Jürgen R. wrote:
>
>
>

> > Place your bets now. How will Mueckenheim avoid answering this question?
>
> > (That he will avoid it is certain.)
>
> >
>
> > (1) By ignoring it completely (2) By claiming that Wmath is the same as
>
> > Tmath (3) By claiming physics needs no such abstractions (4) Other
>
> > possibilities
>
>
>
> If WM actually does make a post in which he avoids this question,
>
> as opposed to not posting anything in response, he would choose to
>
> answer in a way which he hopes to insult as many people as possible,
>
> among those whom he percieves to be informed about applications of
>
> mathematics in the physical sciences, and generally of being capable
>
> of scientific thinking. What such an answer might look like precisely




Logic involves the reduction of syntactically well formed formula
into inclusion or exclusion from any particular logic theory.


ZFC is a hierarchic set theory

xeS <-> p(x) AND xeT



There are other theories, such as using horn clauses.

e(X,s) <- p(X)



which are strict-formal in that the proof derivations are automatic.

theorem(R) <- inf(L,R) & theorem(L)



solve(R,z(Z)) <- inf(L,R) & solve(R,Z)



e.g.

solve( e( s(s(0)),evens ) , z(z(z(0))) ) ?


Can a depth limited search solve 2eEVENS within 3 steps ?





Given such a rudimentary proof( THM , DEPTH ) predicate

there are 2 classes of Logic Theories.




Pessimistic:

theorem(X) <-> EXIST(d) solve(X,d)



Optimistic:

theorem(X) <-> ~EXIST(d) solve(~X,d)



where X is given theoremhood until proven otherwise.



WM seems to abide with a Pessimist Logic, the most concrete
and least abstract maths.






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