## Foundations of Mathematics## Foundations and Logic |

## What are the foundations of mathematics? |

The foundations of mathematics include how to formulate and analyze the language (you have to “speak” the right mathematical language to make meaningful mathematical statements), axioms (a statement accepted as true without proof), and developing logical methods in all mathematical studies. The most basic mathematical concepts in the foundations include numbers, shapes, sets, functions, algorithms, axioms, definitions, and proofs.