On 10 Jan 2014, at 23:25, meekerdb wrote:
On 1/10/2014 10:27 AM, Bruno Marchal wrote:
But what about Glak, a being in an alternative physics?
If Glak mind obeys to the laws of Boole, and if Glak as a finite
body, and if he is self-referentially correct, then we share with
Glak the same sigma_1 true sentences, and he figures it out (by Bp
& Dt) in the same way, so we have the same physics. If Glak shows
us an electron heaver than ours, we can conclude that the mass of
an electron is not a necessity, but a contingency, a geographical
fact, and there might be a law given the mass electron relatively
to that type of accessible physics (given that we succeed in
talking with Glak).
But there's the rub. Could Glak's universe not have electrons?
Could it not have electrical charge?
Open problem. Both for comp and "QM+GR" (or the needed unknon
correction of GR, 'course).
A theory that cannot tell us what is contingent
But the theory does that. The physical, like the quantum principle,
which can be derived from the material hypostases are laws, and the
rest is contingent and belongs to geography/history.
and only that arithmetical (or logical truths) are necessary
That's G, not the S4GRz, or X and Z logics.
doesn't really tell us anything. It just says "Tautologies are true."
So we get much more than that: 8 non trivial intensional mathematics
(the quantified hypostases), with three of them given the physical laws.
Bruno
Brent
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