Math Problem Statement

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Math Problem Analysis

Mathematical Concepts

Logic
Inference Rules
Propositional Logic

Formulas

Modus Ponens: ((p ⇒ q)∧p) ⇒ q
Modus Tollens: ((p ⇒ q)∧q) ⇒ p
Hypothetical Syllogism: ((p ⇒ q)∧ (q ⇒ r)) ⇒ (p ⇒ r)
Disjunctive Syllogism: ((p∨q)∧p) ⇒ q

Theorems

Modus Ponens
Modus Tollens
Hypothetical Syllogism
Disjunctive Syllogism

Suitable Grade Level

University Level - Logic and Set Theory