[FOM] CH and mathematics
Timothy Y. Chow
tchow at alum.mit.edu
Wed Jan 23 16:19:25 EST 2008
Bill Taylor wrote:
> Physics has shown not the *slightest* sign of needing CH or anything
> beyond continuum cardinality, and there is nothing on the horizon.
Since Joe Shipman is involved in this discussion, I probably don't need to
jump in with this, but physicists Itamar Pitowsky and Stanley Gudder have
used the continuum hypothesis to construct a "local hidden-variables"
theory.
S. Gudder, Probability manifolds, J. Math. Phys. 25 (1984), 2397-2401.
I. Pitowsky, Deterministic models of spin and statistics, Phys. Rev. D 27
(1983), 2316-2326.
Shipman showed that CH, or something like it, is needed for these
theories; ZFC isn't enough.
J. Shipman, Cardinal conditions for strong Fubini theorems, Trans. Amer.
Math. Soc. 321 (1990), 465-481.
Tim
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