Formal Logic Course
Gain mastery in formal logic for mathematics, progressing from propositional to first-order logic. Build and analyse models, formalise set theory, and craft clear, rigorous proofs to enhance research, teaching, and problem-solving abilities in a New Zealand academic context.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This concise, high-quality Formal Logic Course develops practical expertise in propositional and first-order systems, identity, and membership. Translate precise statements into formal language, construct natural deduction proofs, and evaluate consistency using models. Master formalising basic set-theoretic claims, sidestep common quantifier pitfalls, and deliver clear, rigorous solutions backed by modern proof tools and reliability checks.
Elevify advantages
Develop skills
- Master propositional proofs using truth tables, sequents, and natural deduction.
- Formalise set theory by translating subsets, singletons, and ZF-style axioms.
- Build and analyse models to test consistency, satisfiability, and non-entailment.
- Write rigorous solutions with clear symbols, numbered steps, and justified rules.
- Apply predicate logic to mathematical philosophy, analysing analyticity and empiricism.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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