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Topic: when indecomposability is decomposable
Replies: 4   Last Post: Feb 21, 2013 8:51 PM

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Shmuel (Seymour J.) Metz

Posts: 3,359
Registered: 12/4/04
Re: when indecomposability is decomposable
Posted: Feb 21, 2013 4:01 AM
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In <yfGdnVH3XuwxeLnMnZ2dnUVZ_uWdnZ2d@giganews.com>, on 02/20/2013
at 09:03 AM, fom <fomJUNK@nyms.net> said:

>The validity of the inference being justified by
>what stance?


The axioms and the rules of inference.

>A number of years ago, there was a John Correy on these newsgroups
>who formulated a set of axioms that could be syntactically
>manipulated to "prove" the existence of non-self-identicals.


Within his theory.

>He had been hammered on the basis of the ontological import
>of x=x.


Ontology is irrelevant. What matters is whether his work was
consistent and interesting.

BTW, there was a serious shift in how mathematicians viewed
foundational issues after, e.g., Gödel, Cohen.

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

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