Re: Implementable Set Theory and Consistency of ZFC



On Oct 31, 1:59 am, Han de Bruijn <Han.deBru...@xxxxxxxxxxxxxx> wrote:
Jesse F. Hughes wrote:
I will say it once more. I am typing this slowly, since I don't want
you to miss anything I say. If you have a proof in a theory
consisting of axioms (1)-(4), it is also a proof in the theory
consisting of axioms (1)-(4)+(X).

How do you "know" that? Has the Pope told you, by dogma, that it is so?

No, you royal ignoramus, it's PROVEN as a basic property of the
deductive system. It's the property of monotonicity of deduction. And
we PROVE it.

MoeBlee


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