induction hypothesis

noun

A statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next.

Similar
inductive hypothesisIH
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nouninduction hypothesis (plural induction hypotheses)

plural induction hypotheses

  1. mathematicsA statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next.

    Synonyms: inductive hypothesis, IH

Synonyms & antonyms

nounA statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next.

Similar
inductive hypothesisIH
Also see
inductive hypothesis
Cite this entry
APA

induction hypothesis. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/induction%20hypothesis

MLA

“induction hypothesis.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/induction%20hypothesis. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “induction hypothesis,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/induction%20hypothesis.

Source: induction hypothesis on Wiktionary, CC BY-SA 4.0.