On 09 Jun 2013, at 20:58, meekerdb wrote:

On 6/9/2013 5:21 AM, Bruno Marchal wrote:
Then fictionalism can make sense only if we assume some basic physical existence, or reality, as the not explicit contrary of "fiction".

Yes. Fictionalism is probably right about mathematics - but it's also right about physics.

With fiction = illusion, that's the case with physics when assuming comp, indeed. But usually fiction are supposed to be not true.





Elementary arithmetic seems conceptually simpler than any physical notion,

All the more reason to suppose it is just an invention.

By who?
Cf comp makes humans an "invention" of numbers.




and with comp I think there is not much choice in the matter (in all senses of the word).

A pair of two non null integers x y such that (x/y)2 = 2, that is fiction.

No, that is false in arithmetic.

That's what I meant.

Bruno




Brent


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http://iridia.ulb.ac.be/~marchal/



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