A compound statement combines two or more simpler statements using logical connectives. This allows for building complex logical propositions from…
Completeness in logic refers to a system's ability to derive every logically valid formula. It ensures that all truths provable…
A fundamental theorem in mathematical logic asserting that if every finite subset of a set of sentences is satisfiable, then…
A cogent inductive argument is a strong one where all premises are true. It offers a high probability of its…
Coextensive describes concepts or terms that share the same scope or range, applying to the exact same set of objects.…
A robust form of reductio ad absurdum, it proves a proposition P by demonstrating that its negation ¬P leads to…
A classical dilemma presents two undesirable choices, both leading to the same inescapable conclusion. This rhetorical device, prevalent in logic…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…
Causal modal logic extends standard modal logic with modalities for necessity, possibility, and causal relations. It enables formal analysis of…
Causal logic explores the intricate relationships between causes and effects. It provides frameworks for representing and reasoning about how events…