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What does ideal mean?

Looking for the meaning or definition of the word ideal? Here's what it means.

Adjective
  1. Optimal; being the best possibility.
  2. Perfect, flawless, having no defects.
  3. Pertaining to ideas, or to a given idea.
  4. Existing only in the mind; conceptual, imaginary.
  5. Teaching or relating to the doctrine of idealism.
  6. (mathematics) Not actually present, but considered as present when limits at infinity are included.
Noun
  1. A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
  2. (mathematics) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
    1. (for example, algebra) A subring closed under multiplication by its containing ring.
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