Axiom
A basic assumption taken to be true without proof. Axioms are the foundations of a mathematical system.
Theorem
A statement that has been logically proven based on axioms and previously established theorems.
Proof
A step-by-step logical argument that demonstrates why a theorem must be true.
Axioms are self-evident truths that form the foundation of a mathematical system. Theorems are statements proven to be true based on axioms and previously established theorems. Proofs are logical arguments that demonstrate the truth of a theorem.
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Paywall
(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.
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