Mathematical Background
Definition
(Axiom)
A foundational statement accepted without proof. All other results are built ontop.
Definition
(Proposition)
A proved statement that is less central than a theorem, but still of interest.
Definition
(Lemma)
A “helper” proposition proved to assist in establishing a more important result.
Definition
(Corollary)
A statement following from a theorem or proposition, requiring little to no extra proof.
Definition
(Definition)
A precise specification of an object, concept or notation.
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Knowledge is a paradox. The more one understand, the more one realises the vastness of his ignorance.