Negation introduction is a natural deduction rule enabling the derivation of negation. It typically involves assuming the opposite and deriving…
Negation consistency ensures a logical system is free from contradictions, meaning no statement and its negation can both be proven…
Negation is a fundamental logical operation that reverses the truth value of a statement. It transforms true propositions into false…
A logical paradox is a statement or set of statements that results in a contradiction or defies intuition. It often…
A logical falsehood is a statement that is false in all possible interpretations. It's a fundamental concept in logic, often…
Explore a logical system embracing contradictions, challenging the law of non-contradiction. Understand how paradoxical statements can lead to new insights…
The liar paradox is a self-referential statement that asserts its own falsity. If true, it must be false; if false,…
Explore insolubilia, the realm of unsolvable problems and paradoxes. Delve into self-reference and logical contradictions, exemplified by the liar paradox,…
Inconsistency arises when a system contains contradictory elements, making it impossible for all statements to be true simultaneously. This fundamental…
Falsum, symbolized as ⊥, represents absolute falsity or a contradiction in logic. It's a fundamental concept used to denote statements…