The open pair paradox involves two statements that contradict each other, creating a logical loop. It highlights challenges in self-referential…
A logical paradox is a statement or set of statements that results in a contradiction or defies intuition. It often…
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 liar sentence asserts its own falsity, like 'This sentence is false.' It forms the core of the liar paradox,…
The liar paradox is a self-referential statement that asserts its own falsity. If true, it must be false; if false,…
A paradox in epistemic logic concerning self-reference, where a statement claims its own unprovability or unknowability, leading to logical contradictions.
A paradox where the truth of a statement implies its knowability. This epistemic puzzle, particularly in modal logic, raises questions…
Explore insolubilia, the realm of unsolvable problems and paradoxes. Delve into self-reference and logical contradictions, exemplified by the liar paradox,…
Explore heterological, an adjective describing terms that do not apply to themselves. Discover its implications in language, logic, and the…