continuum hypothesis

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Noun

1. {{lb|en|set theory}} The [[hypothesis]] which states that any infinite subset of <big>[[ℝ]]</big> must have the [[cardinality]] of either the set of [[natural numbers]] or of <big>ℝ</big> itself.
2. {{lb|en|physics|kinematics|continuum mechanics}} The [[assumption]], for the purposes of mathematical modelling, that the material being studied is a [[continuous]] [[mass]] rather than being composed of [[discrete]] [[particle]]s.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.