mathematical induction
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mathematical induction
noun mathematical inductions
- A method of proof which, in terms of a predicate P, could be stated as: if P(0) is true and if for any natural number n>0, P(n) implies P(n+1), then P(n) is true for any natural number n. Mathematical induction is often compared to the behavior of dominos. The dominos are stood up on edge close to each other in a long row. When one is knocked over, it hits the next one (analogous to n in S implies n + 1 in S), which in turn hits the next, etc. If then we hit the first (0 in S), then
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noun method of proof
| 中文 | 數學歸納法 /数学归纳法 shùxué guīnàfǎ |
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Talk about this word "mathematical induction." Wiktionary, via Micwyn, micwyn.com/word/mathematical%20induction. Accessed 6 Nov. 2026. mathematical induction. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/mathematical%20induction "mathematical induction." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/mathematical%20induction.Cite this
@misc{mathematical_induction_2026,
title = {mathematical induction},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/mathematical%20induction},
urldate = {2026-11-06}
}
