On 26 Nov 2012, at 17:09, meekerdb wrote:
On 11/23/2012 8:54 AM, Bruno Marchal wrote:
How does the comparison occur? I will not ask what or who is
involved, only how. What means exists to compare and contrast a
pair of logics?
The logic exists, because, by UDA, when translated in arithmetic,
makes a relative physical certainty into a true Sigma_1
sentence, which has to be provable, and consistent. So the
observability with measure one is given by []p = Bp & Dt & p, with
p arithmetical sigma_1 (this is coherent with the way the physical
reality has to be redefined through UDA). Then the quantum logic is
given by the quantization []<>p, thanks to the law p -> []<>p, and
this makes possible to reverse the Goldblatt modal translation of
quantum logic into arithmetic.
Comparison is used in the everyday sense. Just look if we get the
quantum propositions, new one, different one, etc.
The question is why is the sentence about anything.
Well, we are supposed to choose them accordingly.
It's easy to write down axioms and prove theorems from them, but
that doesn't make them true of anything.
No. That is why we ask politely at the start if you agree with them,
if only temporarily for the sake of the argument.
Bruno
http://iridia.ulb.ac.be/~marchal/
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