On 3/2/2013 1:37 AM, Bruno Marchal wrote:

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On 01 Mar 2013, at 21:02, meekerdb wrote:On 3/1/2013 9:20 AM, Bruno Marchal wrote:In physics we sometimes get big numbers, like 10^88 or 10^120, but we never need10^120 + 1.But physics is no more assumed in the TOE derived from comp.I'll bet you've never needed to calculate 10^120 + 1 in the world whose TOE is derivedfrom comp either. :-)False. because now I need to calculate it to make my point: 10^120 + 1 = 10000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000001 I told you, an infinitesimal!Nothing compare to the finite, but really huge, number that I described some years ago,to illustrate some use of diagonalization, on this list (omega + [omega] + omega, ifyou remember).

I'll be you haven't added 1 to it. :-)

The number of chess games is about 10^120. The number of GO games is far bigger. And string theory points on 10^500 theories.Exactly why almost all chess, go games, and string theories are uninteresting.The number of possible brain connection, and thus possible subjective state is aboutequal to 60,000 ^ 1000000000.Does that makes all brains non interesting?

`No, it makes almost all (in the technical sense) brain states uninteresting - they`

`correspond to insanities.`

Look, if you argue seriously that comp is not interesting because it uses that for all xwe have x ≠ x + 1, I think most people will conclude that comp is winning.

`No, many interesting theories assume that - but I wonder how essential it is. It`

`certainly produces antinonmies like Hilbert's hotel and Godel's incompleteness.`

And my friends the Roses have never seen a gardener dying. Some rare Roses have heardrumors that can happen, but all rational Roses knows that belong to fiction.Frankly, for a logician, 10^100 looks really like an infinitesimal :)And to mathematicians too, almost all numbers are infinitesimal.Hmm... It depends of the context. The cardinal of the monstrous finite simple group isusually considered as a big number, as nobody expected such a big number to occur there.

`And 10^-122 was a surprisingly big number to physicists measuring the vacuum energy`

`density - because they expected it to be zero.`

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