On 1/23/2014 5:46 PM, LizR wrote:
On 24 January 2014 14:40, meekerdb <[email protected] <mailto:[email protected]>> wrote:

    I'd say a finitist form of arithmetic is a good description of some aspects 
of
    reality - but don't try to add raindrops or build Hilbert's Hotel.

OK. So are there some fundamental aspects of reality that can't be described by 
mathematics?

Probably not. Or it might depend on how complete a description is required (notice that not all true sentences of arithmetic can be described). Mathematics is just axiomatized language, a way of making sentences definite and avoiding self-contradicition. There might be something that can only be described fuzzily; poets have lots of candidates. Maybe consciousness is one. But it's like asking is there something science can't investigate. Maybe, but we won't know without trying.

Brent

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