A logical theorem is a statement proven true within a formal system. It relies on axioms and inference rules, representing…
Logical pluralism posits that multiple, equally valid logics exist, each capturing different facets of reasoning and argumentation. It challenges the…
A logical paradox is a statement or set of statements that results in a contradiction or defies intuition. It often…
Logical equivalence describes the relationship between statements that hold true under precisely the same conditions. This allows for their seamless…
Löb's theorem in mathematical logic states that if a system can prove that a statement implies its own provability, then…
Löb's paradox, a puzzle in modal logic, questions the formalization of provability within a system. It leads to counterintuitive results…
A limitation result defines the boundaries of what can be achieved in a logical or mathematical system. It often signifies…
A liar sentence asserts its own falsity, like 'This sentence is false.' It forms the core of the liar paradox,…
A logic designed for higher-order quantification and modalities. It emerged from discussions on the foundations of mathematics by Kreisel and…
An introduction rule in logic defines how to logically infer a connective within a proof. It's a fundamental concept in…