maximal
/ˈmæksɪməl/ noun C2- The element of a set with the greatest magnitude.
- 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).
- 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.
Plural maximals
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