Foundations of mathematics is the term used to describe the basic ideas and principles that we use when doing math. It includes things like counting, addition, multiplication, and subtraction. All of these things help us to solve problems and work out different calculations. It's like a set of rules that we follow until we get the right answer.

Aristotelian realist philosophy of mathematics,
Brouwer–Hilbert controversy,
Charles Sanders Peirce,
Church–Turing thesis,
Controversy over Cantor's theory,
Epistemology,
Euclid's Elements,
Hilbert's problems,
Implementation of mathematics in set theory,
Liar paradox,
Mathematical logic,
New Foundations