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English word ideal comes from Proto-Indo-European *weydstos, Proto-Indo-European *weid-, Ancient Greek (to 1453) εἴδω, Ancient Greek (to 1453) ἰδέᾱ, Malayalam ideālis, and later Latin idea (Idea. Prototype (Platonic).)
*weydstos (Proto-Indo-European)
knowledgeable
*weid- (Proto-Indo-European)
to see, know, see
εἴδω (Ancient Greek)
ἰδέᾱ (Ancient Greek)
ideālis (Malayalam)
ἰδέα (Ancient Greek)
idea (Latin)
Idea. Prototype (Platonic).
ideālis (Late Latin)
idéal (French)
Ideal.
ideal (English)
(for example, algebra) A subring closed under multiplication by its containing ring.. (mathematics, order theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).[http://en.wikipedia.org/wiki/Boolean_prime_ideal_theorem#Prime_ideal_theorems]. A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. [...]