Mathematics is the abstract science of number, quantity, and space. It explores concepts like logic, structure, and patterns, forming the…
A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
QED, a Latin phrase meaning "which was to be demonstrated," marks the conclusion of a mathematical proof or logical argument.…
A lemma is a proven proposition used as a stepping stone to prove larger theorems. It's a foundational tool in…
Falsum, symbolized as ⊥, represents absolute falsity or a contradiction in logic. It's a fundamental concept used to denote statements…
A demonstration provides tangible evidence, illustrating a concept or capability. It's a practical showcase designed to prove a point or…
A countermodel reveals an argument's invalidity by constructing a scenario where all premises hold true, yet the conclusion is demonstrably…
A corollary is a statement that follows directly from a proven theorem or proposition with minimal effort. It's a logical…
A robust form of reductio ad absurdum, it proves a proposition P by demonstrating that its negation ¬P leads to…
An axiom is a fundamental statement accepted as true without proof. It serves as the bedrock for logical reasoning and…