Formal Logic Course
This course equips you with core formal logic skills for maths and beyond. Progress from propositional logic to first-order systems, construct and evaluate models, formalise set theory concepts, and craft precise proofs. Boost your research, teaching, and analytical abilities with reliable, step-by-step reasoning techniques that stand up to scrutiny.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain hands-on expertise in propositional and first-order logic, identity, and membership relations. Translate everyday statements into precise logical forms, build natural deduction proofs, and check consistency using models. Master formalising set theory basics, dodge quantifier pitfalls, and deliver sharp, rigorous arguments backed by modern 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.
- Write clear solutions with symbols, steps, and rule justifications.
- Apply predicate logic to analyse analyticity and empiricism in philosophy.
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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