maximal🔊

{{U|largest}}, greatest (in magnitude), highest, most. +

(of a sequence) Larger than any previous term in the sequence.

(of an element of a poset) Such that no other element is greater (with respect to the given partial order).

(mathematics) The element of a set with the greatest magnitude.

(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).

(logic) ''Said of a set of well-formed formulas'': 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''.