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


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 need 10^120 + 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 derived from 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, if you 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 about equal 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 x we 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 heard rumors 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 is usually 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.

Brent

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