A strict conditional is a logical implication where the truth of the antecedent necessitates the truth of the consequent. It's…
Relevance logic is a non-classical logic designed to ensure premises are relevant to the conclusion, overcoming paradoxes found in material…
Model-theoretic consequence is a fundamental concept in logic, defining logical implication through the interpretation of formulas in models. It ensures…
Logical implication is the relationship where one proposition's truth guarantees another's. Understanding this conditional link is fundamental in logic, reasoning,…
A theorem stating that if A implies B is provable, a formula C exists using only common symbols. Both A…
Logical implication connects two statements: if the first (antecedent) is true, the second (consequent) must also be true. It's a…
Boethius' theses are two formulas in propositional logic: (A → B) → ¬ (A → ¬ B) and (A →…
The absorption law states that if P implies Q, then adding a conjunction R to P does not alter the…