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Noson S. Yanofsky: The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us (2013)

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As the book stated many times, it meant to give the reader an intuition of the various concepts, theories and problems it touches. I found it very interesting: maybe a bit repetitive, sometimes too focused on the logical approach and some other times too narrow in its approach; but it nevertheless introduced a lot of hard ideas concerning physics, mathematics and (mostly) logic.

It's not a university book, neither a stroll in the park, yet it forces the reader to think and to question the reality of things as one can see them.