A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
A subring closed under multiplication by its containing ring.
A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
Not actually present, but considered as present when limits at infinity are included.
Optimal; being the best possibility.
Existing only in the mind; conceptual, imaginary.
Pertaining to ideas, or to a given idea.
Perfect, flawless, having no defects.
Teaching or relating to the doctrine of idealism.
The degree of importance given to something.
The relative darkness or lightness of a color in (a specific area of) a painting etc.
The valuable ingredients to be obtained by treating a mass or compound; specifically, the precious metals contained in rock, gravel, etc.
The relative duration of a musical note.
That which is valued or highly esteemed, such as one's morals, morality, or belief system.
The amount (of money or goods or services) that is considered to be a fair equivalent for something else.
The quality (positive or negative) that renders something desirable or valuable.
Any definite numerical quantity or other mathematical object, determined by being measured, computed, or otherwise defined.
Precise meaning; import.
To regard highly; think much of; place importance upon.
To fix or determine the value of; assign a value to, as of jewelry or art work.
To estimate the value of; judge the worth of something.
To hold dear.