maximal

Definitions:

  • Of, relating to, or consisting of a maximum.
  • Being the greatest or highest possible.
  • An element in an ordered set that is followed by no other.
  • Of the highest or maximum value, etc.; being a maximum.
  • <xref>Largest</xref>, <xref>greatest</xref> (in <xref>magnitude</xref>), <xref>highest</xref>, <xref>most</xref>.
  • The element of a set with the greatest <xref>magnitude</xref>.
  • Said of an <xref>ideal</xref> of a <xref>ring</xref> or a <xref>filter</xref> of a <xref>lattice</xref>: that it is as large as it can be without being <xref>trivial</xref> (improper).
  • Said of a set of <xref>well-formed formulas</xref>: that it is as large as it can be without being <xref>inconsistent</xref>; i.e., that for any wff φ, the set contains either φ or ~φ.
  • the greatest or most complete or best possible
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