Francis Davey wrote:
> I personally don't know how to see if mathematical statements are
> "true". I might believe that the godel sentence is true in the
> "intended model", but no-one has ever been able to explain exactly
> what they mean by the intended model, so I am far from sure about
> that.
The first-order number theoretic truths are exactly the first-order
sentences in the language of arithmetic that follow from the axioms
of Peano Arithmetic supplemented by the following version of the
least number principle: "Among any numbers there is always a
least." (This principle is not firstorderizable; but that doesn't
make it unintelligible.)
Stephen Pollard
Professor of Philosophy
Division of Social Science
Truman State University
spollard-WoT/K4O+OuU3uPMLIKxrzw@xxxxxxxxxxxxxxxx
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