Formal Logic Course
Gain expertise 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 structured, practical manner.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This concise Formal Logic Course develops practical expertise in propositional and first-order systems, identity, and membership. Translate precise statements, construct natural deduction proofs, and evaluate consistency using models. Master formalising set-theoretic claims, sidestep quantifier pitfalls, and deliver clear, rigorous solutions backed by modern proof tools and verification methods.
Elevify advantages
Develop skills
- Master propositional proofs using truth tables, sequents, and natural deduction.
- Formalise set theory concepts like subsets, singletons, and ZF axioms.
- Build and analyse models for 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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