On 24 January 2014 16:08, meekerdb <[email protected]> wrote:

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

It's just that so far, after about 500 years, we haven't managed to find
*anything* that looks remotely fundamental to the operation of the universe
that can't be described to fairly high precision by maths. I guess this is
what has led some people to wonder if there's more to it than just "a way
of making sentences definite and avoiding self-contradicition".

(I guess other people think we cherry pick the stuff that's mathy, and
there are vast swathes of non-mathematical stuff out there just waiting to
be discovered...)

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