Mathematical induction is a method for proving that a statement P ( n ) {\displaystyle P(n)} is true for every natural number n {\displaystyle n} , that...

A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The...

Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers. Its...

Word-sense induction Backward induction in game theory and economics Induced representation, in representation theory Mathematical induction, a method...

the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive argument is certain given...

reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major...

some proofs Gödel's completeness theorem and its original proof Mathematical induction and a proof Proof that 0.999... equals 1 Proof that 22/7 exceeds...

symmetric functions of roots of equations", American Mathematical Monthly, 37 (7), Mathematical Association of America: 357–365, doi:10.2307/2299273,...

computer science, graph theory, and some other mathematical fields. It is a generalization of mathematical induction over natural numbers and can be further...

color is a falsidical paradox that arises from a flawed use of mathematical induction to prove the statement All horses are the same color. There is no...