A conditional statement exploring hypothetical scenarios against a backdrop of necessary truths. It examines implications when the premise contradicts what…
A constructive proof shows a mathematical object exists by providing a method to build it. This contrasts with indirect proofs,…
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather than indirect reasoning. It's a foundational approach in…
Learn about the conjunction introduction, a fundamental rule of inference in logic. It permits combining two separate statements into a…
Conjunction elimination is a fundamental rule of inference in propositional logic. It permits the deduction of a single conjunct from…
The comprehension schema is a fundamental principle in set theory and logic. It allows for the construction of sets by…
A philosophical and mathematical concept representing an actual, completed infinity as a whole, distinct from potential infinities that are indefinitely…
A classical dilemma presents two undesirable choices, both leading to the same inescapable conclusion. This rhetorical device, prevalent in logic…
A bijective function is a powerful mathematical concept, acting as a perfect bridge between two sets. It's both injective (one-to-one)…
The basis step, or base case, is the foundational element of a proof by mathematical induction. It establishes the truth…