A theory of truth where statements correspond to facts or states of affairs. It highlights the crucial role of meaning…
The material biconditional, or "if and only if" (iff), is a logical operator true when both operands share the same…
Iff, short for 'if and only if,' is a crucial logical connective indicating mutual implication. It establishes a biconditional relationship…
The identity of indiscernibles posits that if two things have precisely the same properties, they are, in fact, the same…
A constructive proof shows a mathematical object exists by providing a method to build it. This contrasts with indirect proofs,…
A congruence relation is an equivalence relation that preserves the operations within an algebraic structure, like addition or multiplication in…
A categorical theory ensures all its models are isomorphic. This means different representations describe the same underlying mathematical structure, providing…
Boolean algebra is a branch of mathematics dealing with truth values (true/false). It's fundamental to computer science, digital logic design,…
Minimal pairs are word pairs differing by only one sound, crucial for distinguishing meaning in spoken language. They are fundamental…
An interest-only mortgage allows borrowers to pay only the interest for a set period. After this period, payments increase to…