Reductio ad absurdum is a logical argument proving a statement false by showing it leads to a contradiction or an…
Peirce's law, ((P → Q) → P) → P, is a fundamental principle in logic. It is valid in classical…
Negation introduction is a natural deduction rule enabling the derivation of negation. It typically involves assuming the opposite and deriving…
Negation elimination is a fundamental rule in natural deduction. It permits inferring a conclusion by negating a premise, provided it…
Falsum, symbolized as ⊥, represents absolute falsity or a contradiction in logic. It's a fundamental concept used to denote statements…
Consequentia mirabilis, a classical logic principle, asserts that if the negation of a statement leads to a contradiction, the original…
A robust form of reductio ad absurdum, it proves a proposition P by demonstrating that its negation ¬P leads to…