Brent Meeker writes (quoting Peter Jones and SP):

> >>Arithemtical Platonism is the belief that mathematical
> >>structures *exist* independently of you,
> >>not just that they are true independently of you.
> > 
> > 
> > What's the difference?
> > 
> > Stathis Papaioannou
> 
> You could regard the theorems of arithmetic as just being relative to Peano's 
> axioms: "1+1=2 assuming Peano"  Somewhat as Bruno presents his theorems as 
> relative to the "axiom" of COMP.
> 
> Brent Meeker

Even if you say that, there is still a sense in which arithmetic is independent 
of the 
real world. The same can be said of Euclidian geometry: it follows from 
Euclid's axioms 
*despite* the fact that real space is not Euclidian. The fact that real space 
is not 
Euclidian means that Euclidian geometry does not describe the real world, not 
that 
it is false or non-existent.

Stathis Papaioannou
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