Foundations of mathematics
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Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague.
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See also
- Mathematical logic
- Brouwer–Hilbert controversy
- Church–Turing thesis
- Controversy over Cantor's theory
- Epistemology
- Euclid's Elements
- Hilbert's problems
- Implementation of mathematics in set theory
- Liar paradox
- New Foundations
- Philosophy of mathematics
- Principia Mathematica
- Quasi-empiricism in mathematics
- Mathematical thought of Charles Peirce
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