Maximal

Origin

maximum + -al

Adjective

1. Largest, greatest (in magnitude), highest, most.

Antonyms

• minimal

Derived terms

• submaximal

Full definition of maximal

Noun

1. (mathematics) The element of a set with the greatest magnitude.
2. (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. (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.

Synonyms

• maximum