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Looking for a book about the uttermost fundamentals of math in a philosophical context

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Ian Stewart wrote The Foundations of Mathematics which may scratch that itch.
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"Set Theory and Its Philosophy: A Critical Introduction" by Michael D. Potter

Maths is reducible to logic and set theory; a firm grasp of the philosophy and maths underlying set theory would provide greater insight into these fundamental questions.
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You might want to look into Basic Mathematics by Serge Lang. It provides rigorous treatment of the fundamentals, but doesn't provide a good description of the philosophy.
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