logic (mathematics)

Logic in mathematics is a systematic way of reasoning used to determine whether statements are true or false. It involves following strict rules to connect ideas and reach valid conclusions. Think of it as a mental tool that helps ensure our arguments are consistent and based on solid evidence. By applying logic, mathematicians verify proofs, solve problems, and build new theories with confidence that their reasoning is sound. Essentially, it’s the foundation that guarantees mathematical ideas are reliable and well-founded.