Formal Logic Course
This course equips you with essential formal logic skills for maths and beyond. Progress from propositional to first-order logic, construct and evaluate models, formalise set theory concepts, and craft clear, rigorous proofs to boost your research, teaching, and analytical abilities in a practical, reliable way.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain hands-on expertise in propositional and first-order logic, identity, and membership relations. Translate accurate statements, develop natural deduction proofs, and check consistency using models. Master formalising set theory basics, sidestep quantifier pitfalls, and deliver precise solutions backed by current proof software and validation methods.
Elevify advantages
Develop skills
- Master propositional proofs using truth tables, sequents, and natural deduction.
- Formalise set theory with subsets, singletons, and ZF axioms.
- Build models to verify consistency, satisfiability, and non-entailment.
- Produce rigorous proofs with clear notation, steps, and rule justifications.
- Use predicate logic for philosophy of maths, covering analyticity and empiricism.
Suggested summary
Before starting, you can change the chapters and 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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