formal-logic-analysis

# Formal Logic Analysis Skill Apply formal logic systems to analyze, formalize, and evaluate arguments with rigorous symbolic methods. ## Overview The Formal Logic Analysis skill enables systematic application of propositional, predicate, and modal logic systems to formalize arguments, construct proofs, evaluate validity, and assess soundness using symbolic notation, truth tables, and proof procedures. ## Capabilities ### Propositional Logic - Translate natural language arguments into propositional form - Construct truth tables for validity assessment - Apply natural deduction rules - Identify logical equivalences and tautologies - Evaluate argument validity through truth-functional analysis ### Predicate Logic - Formalize arguments with quantifiers and predicates - Apply universal and existential instantiation/generalization - Construct formal proofs in first-order logic - Analyze logical relations and inferences - Handle multiple quantification and scope issues ### Modal Logic - Apply necessity and possibility operators - Analyze arguments involving modality - Work with different modal systems (K, T, S4, S5) - Evaluate modal validity - Apply modal logic to philosophical arguments ### Proof Construction - Build natural deduction proofs - Apply inference rules systematically - Construct indirect proofs - Use conditional proof techniques - Verify proof correctness ## Usage Guidelines ### When to Use - Formalizing philosophical arguments - Testing argument validity - ...