Brown, Martin - ARP (NCI) wrote:
> Re geometry.  I think Goedel's paradox tends to refute your statement.
> 


are you talking about justin's statement that geometry does not involve 
circularities and proceeds by axiomatic enumeration? if so, why do you 
think g�del's theorem (i presume you are referring to the incompleteness 
theorem?) refutes that statement? i fail to see why the fact that 
arithmetic is not recursively axiomatizable is a demonstration of 
circularity... please explain, especially since this position conflicts 
with your (what i read as correct) response of pointing to the lack of 
circularity claimed in jim devine's post.

        --ravi

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