Formal Logic Course
This course equips you with mastery of formal logic for mathematics, progressing from propositional to first-order logic. You will construct and analyse models, formalise set theory, and produce clear, rigorous proofs to enhance your research, teaching, and problem-solving abilities.

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, including identity and membership. You will translate precise statements into formal logic, construct natural deduction proofs, and evaluate consistency using models. Additionally, learn to formalise fundamental set-theoretic assertions, sidestep typical quantifier pitfalls, and deliver clear, rigorous solutions backed by contemporary proof tools and verification methods.
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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