New posts in foundations

Is formal truth in mathematical logic a generalization of everyday, intuitive truth?

How can someone reject a math result if everything has to be proved?

Where to begin with foundations of mathematics

Why is it worth spending time on type theory?

Foundation for analysis without axiom of choice?

What is the definition of a set?

Most presentations of ZF seem to be incomplete

Is it possible to formulate category theory without set theory?

Infinite sets don't exist!?

Does mathematics require axioms?

Is mathematics just a bunch of nested empty sets?

Why is the construction of the real numbers important?

Why can't you add apples and oranges, but you can multiply and divide them?

Is math built on assumptions?

Are sets and symbols the building blocks of mathematics?

Does mathematics become circular at the bottom? What is at the bottom of mathematics? [duplicate]

Mathematical ideas that took long to define rigorously

Is mathematics one big tautology?