MathematicsCoreMTH-LOGIC-091

Inference Rules

modus ponens, modus tollens, hypothetical syllogism, reductio ad absurdum

Difficulty
2 / 5
Importance
4 / 5
Study time
1.5–3 h
Kind of work
Theory

Why it matters

Provides the precise language of mathematical statements and the rules of valid reasoning underlying all proofs.

Where it is used

Formal verification, algorithm correctness, database queries, AI knowledge representation, clean reasoning in business decisions.

How you know you have learned it

Explain from memory in your own words + answer 2 transfer questions correctly.

Resources

  • How to Prove It — Daniel Velleman Book

The route to this topic

Route MTH-LOGIC-091