maximal

Fetched 2026-10-26 (cache).

Synonyms: manimal, maximax, maxima

Antonyms: manimal, maximax, maxima

Related words from Datamuse; suggestions, not definitions.

Adjective

1. {{U|largest}}, [[greatest]] (in [[magnitude]]), [[highest]], [[most]].
2. {{lb|en|mathematics|of a sequence}} Larger than any previous term in the sequence.
3. {{lb|en|mathematics|of an element of a [[poset]]}} Such that no other element is greater (with respect to the given [[partial order]]).

Noun

1. {{lb|en|mathematics}} The element of a set with the greatest [[magnitude]].
2. {{lb|en|mathematics}} ''Said of an [[ideal]] of a [[ring]] or a [[filter]] of a [[lattice]]'': that it is as large as it can be without being [[trivial]] (improper).
3. {{lb|en|logic}} ''Said of a set of [[well-formed formula]]s'': that it is as large as it can be without being [[inconsistent]]; i.e. that for any well-formed formula ''φ'', the set contains either ''φ'' or ~''φ''.

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