Introduction to Proofs

An introductory course designed to teach the fundamental concepts and techniques of mathematical proofs.

Practical Applications

Proofs in Everyday Reasoning

Logic in Daily Life

Proof-like reasoning isn’t just for math class—it’s everywhere!

Making Decisions

When you plan your day, you might reason: "If I finish my homework, then I can play video games." You're using logic!

Spotting Fake News

Evaluating whether a claim is trustworthy uses logical steps: "If that were true, then X would happen, but it hasn't, so maybe it's not true."

Developing Critical Thinking

Learning proofs trains your brain to ask "Why?" and look for solid evidence before believing something.

Examples

  • Deciding if someone's story makes sense based on facts you know.

  • Checking if a rumor at school could really be true.