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...
47 KB (6,855 words) - 22:07, 17 August 2024
A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The...
38 KB (4,783 words) - 16:48, 14 August 2024
Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers. Its...
8 KB (1,141 words) - 20:15, 8 October 2023
Word-sense induction Backward induction in game theory and economics Induced representation, in representation theory Mathematical induction, a method...
2 KB (205 words) - 10:14, 5 June 2024
Inductive reasoning (redirect from Logic induction)
the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive argument is certain given...
66 KB (8,483 words) - 22:32, 7 August 2024
Automated theorem proving (redirect from Automated mathematical induction)
reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major...
29 KB (2,945 words) - 22:08, 9 August 2024
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...
6 KB (593 words) - 20:11, 5 June 2023
symmetric functions of roots of equations", American Mathematical Monthly, 37 (7), Mathematical Association of America: 357–365, doi:10.2307/2299273,...
12 KB (2,571 words) - 14:36, 18 August 2024
computer science, graph theory, and some other mathematical fields. It is a generalization of mathematical induction over natural numbers and can be further...
12 KB (1,750 words) - 11:32, 3 December 2023
All horses are the same color (category Mathematical paradoxes)
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...
6 KB (763 words) - 05:33, 20 April 2024