RE: The seven step-Mathematical preliminaries

From: Jesse Mazer <lasermazer.domain.name.hidden>
Date: Tue, 9 Jun 2009 17:29:35 -0400

> Date: Tue, 9 Jun 2009 12:54:16 -0700
> From: meekerdb.domain.name.hidden
> To: everything-list.domain.name.hidden
> Subject: Re: The seven step-Mathematical preliminaries
>

> You don't justify definitions. How would you justify Peano's axioms as being
> the "right" ones? You are just confirming my point that you are begging the
> question by assuming there is a set called "the natural numbers" that exists
> independently of it's definition and it satisfies Peano's axioms.
What do you mean by "exists" in this context? What would it mean to have a well-defined, non-contradictory definition of some mathematical objects, and yet for those mathematical objects not to "exist"?

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Received on Tue Jun 09 2009 - 17:29:35 PDT

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