Re: use of real numbers in mathematics and physics

On 12/2/2004 1:14 PM, Arnold Neumaier wrote:
> Alfred Einstead wrote:
>> baez@xxxxxxxxxxxxxx (John Baez) wrote:

>> The root of the matter, addressing the subject header itself, is that
>> a real number conveys an infinite amount of information. [...]
>>
>> In quantum physics 1/2 of the problem is already gone, since the
>> p's and q's in nature no longer contain an infinite amount of
>> information when taken together. The pure state then, too, have
>> an inherent fuzziness associated with them.
>
> But whether or not a state is pure, all expectations are exact
> real numbers, with an infinite amount of information.
> And this will be so in any reasonable form of physics.
> Cast out continuity, and you lose physics.

Having pondered a lot about how my ideas on the subject of real numbers
can be agreed with G. Cantor's theory, I have to apologize for my
hopefully not yet too late response supporting you.

Please find my pertaining reasoning at
http://iesk.et.uni-magdeburg.de/~blumsche/M280.html
and do not take it an April joke.

Eckard Blumschein

.

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