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See Also: transfinite induction, principle of finite induction

Also defines:  inductive order, partial well-order
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Cross-references: totally ordered set, basis, relation, vector space, every vector space has a basis, application, existence proofs, Zorn's lemma, empty set, upper bound, totally ordered, Hilbert basis theorem, algebra, topology, noetherian ring, ideals, antichain, strictly decreasing, opposite, property, finite, strictly increasing, maximal element, Noetherian, order, infinite, segment, implies, place, well-ordered, prime, prime factors, positive, index, variation, composition, algebraic, numbers, surreal numbers, definitions, union, intersection, interval, finite sequence, integer, argument, Fibonacci sequence, vacuously true, right, side, inductive hypothesis, transfinite inductions, length, Proofs, sequence, hypothesis, least element, natural numbers, proof by contradiction, variety, points, subset, domain, contradiction, function, proof
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This is version 11 of induction, born on 2002-02-19, modified 2005-02-28.
Object id is 2263, canonical name is Induction.
Accessed 22887 times total.

Classification:
AMS MSC03F07 (Mathematical logic and foundations :: Proof theory and constructive mathematics :: Structure of proofs)
 03B48 (Mathematical logic and foundations :: General logic :: Probability and inductive logic)

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