The contrapositive of a conditional statement logically equivalent. It involves swapping and negating both the antecedent and consequent, preserving truth…
Contraction is a logical process of removing redundant elements from expressions or equations. It simplifies complex statements by eliminating duplicates,…
A constructive proof shows a mathematical object exists by providing a method to build it. This contrasts with indirect proofs,…
Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It avoids non-constructive proofs, like those relying on the…
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather than indirect reasoning. It's a foundational approach in…
A constant function is a mathematical function that yields the same output value for every input value. It's a fundamental…
A constant represents a fixed, unchanging value in logic and mathematics. It's a fundamental building block, ensuring consistency and allowing…
A conservative extension adds new axioms or rules to a theory without altering the truth of existing statements. This ensures…
Conjunction elimination is a fundamental rule of inference in propositional logic. It permits the deduction of a single conjunct from…
A conjunction, often represented by 'and', is a logical connective. It asserts that two or more statements are true simultaneously,…