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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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