Re: Help in answering news story on refutation of fermat's last theorem

anzaurres1@xxxxxxxxxxx writes:

> I assume by a "false" axiom you mean a statement that is
> self-contradictory in itself.

Not at all. I simply mean a statement which is false and is an axiom
of the theory. An example is the theory obtained by adding "PA is
inconsistent" as a new axiom to PA.

> Most statements, on their own, are neither false nor true.

It's unclear to me what you mean by this. Is your quoted statement an
example of a statement that is neither false nor true "on its own"?
What about "The Eiffel tower is larger than a banana"? What is an
example of a statement that *is* true or false "on its own"?
.

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