- #1

AndreasC

Gold Member

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A book that has really caught my attention recently is Yuri Manin's A Course in Mathematical Logic for Mathematicians. I am very interested in the foundations of mathematics and mathematical logic, plus I noticed that it had some chapters on quantum logic, so I started skimming through it. However I realized that the chapter on quantum logic uncritically accepts the "impossibility proofs" about hidden variables in quantum mechanics, and presents the one by Kochen and Specker.

However I know from reading J.S. Bell that these proofs were proven to be incorrect because they relied on some unreasonable assumptions and ruled out only specific hidden variable theories, as opposed to hidden variable theories in general. I do not KNOW why exactly it is wrong, but I know that it was demonstrated to be so before the first edition of the book was published, and long before the second edition.

This did make me skeptical of the book. Why was an entire chapter written on something that was already demonstrated to be incorrect, without mentioning anything about it being incorrectly applied, even if mathematically it is sound?

I guess the concern here is, does anyone have experience with the book, can it be relied on in general, are these chapters actually incorrect or am I mistaken, and are there any books on the subject you consider to be better?

However I know from reading J.S. Bell that these proofs were proven to be incorrect because they relied on some unreasonable assumptions and ruled out only specific hidden variable theories, as opposed to hidden variable theories in general. I do not KNOW why exactly it is wrong, but I know that it was demonstrated to be so before the first edition of the book was published, and long before the second edition.

This did make me skeptical of the book. Why was an entire chapter written on something that was already demonstrated to be incorrect, without mentioning anything about it being incorrectly applied, even if mathematically it is sound?

I guess the concern here is, does anyone have experience with the book, can it be relied on in general, are these chapters actually incorrect or am I mistaken, and are there any books on the subject you consider to be better?

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