Word.ws English Dictionary

mathematical induction

mathematical induction noun: 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.

Noun

mathematical induction (countable and uncountable, plural mathematical inductions)

  1. 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...2007, Mark Bridger, REAL ANALYSIS: A Constructive Approach, Hoboken, New Jersey: John Wiley & Sons, page 2

mathematical induction meaning in Tamil, Malayalam and Tagalog

mathematical induction in Tamil

கணிதமுறை உய்த்தறிதல்

mathematical induction in Malayalam

ഗണിതീയ ആഗമനം

mathematical induction in Tagalog

method of proof
sipnaying pamuuran

Forms of mathematical induction

pluralmathematical inductions

Questions about mathematical induction

What does mathematical induction mean?
Mathematical induction means 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.
What is mathematical induction in Tamil?
Mathematical induction in Tamil is கணிதமுறை உய்த்தறிதல். See Mathematical induction meaning in Tamil.
What part of speech is mathematical induction?
Mathematical induction is a noun.
What is the plural of mathematical induction?
The plural of mathematical induction is mathematical inductions.

Words near mathematical induction in the dictionary

  1. mathematical formulas
  2. mathematical function
  3. mathematical functions
  4. mathematical game
  5. mathematical games
  6. mathematical induction
  7. mathematical inductions
  8. mathematical logic
  9. mathematical logics
  10. mathematical model
  11. mathematical models

Source and license

Adapted from Wiktionary: mathematical induction (page history and authors); mathematical induction (Tamil Wiktionary) (page history and authors); mathematical induction (Malayalam Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “mathematical induction.” Word.ws, https://word.ws/mathematical_induction. Based on Wiktionary, CC BY-SA 4.0.