A conditional relation expresses a relationship between two or more entities that holds true only under specific circumstances or conditions.…
Propositional connectives, also known as logical connectives, are fundamental symbols in logic. They combine simple propositions to form complex ones,…
The prelinearity axiom, represented by the formula (P → Q) ∨ (Q → P), is a fundamental principle in logic.…
Permutation is a structural rule in logic that enables the exchange of two formulas on the same side of an…
Logical connectives are symbols or words linking propositions to form complex statements. They define relationships like 'and', 'or', 'not', and…
The distribution axiom, often referred to as axiom K, is fundamental in modal logic. It asserts that if a proposition…
Connexive logic explores the principles of connection between propositions, focusing on relationships like a statement and its contrapositive. It aims…
A compound statement combines two or more simpler statements using logical connectives. This allows for building complex logical propositions from…
Aristotle's theses, specifically ¬(¬A → A) and ¬(A → ¬A), are key formulas in propositional logic. They are theorems in…
Abelian logic is a specific type of relevance logic. It notably rejects the inference rule of contraction while accepting the…