Phrase guide

mathematical induction

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

3 source translations are retained for this English entry.

  • Chinese Mandarin: 數學歸納法 /数学归纳法 (shùxué guīnàfǎ) — method of proof
  • Polish: indukcja matematyczna — method of proof
  • Tagalog: sipnaying pamuuran — method of proof