Ideal

Part of speech: noun, adjective

Pronunciation: /aɪˈdɪəl/

Definitions

1. Perfect standard or model that represents the best possible form of something
2. A model or standard that exemplifies perfection and serves as an ultimate benchmark for evaluation or aspiration
3. An embodiment of perfection that acts as a reference point for achieving excellence or the highest standards in various contexts

Etymology: The idea of "ideal" as a perfect standard goes back to Plato, whose theory of Forms held that everything we see is an imperfect copy of an unchanging original. The English word, though, comes from a much more concrete place: Latin "idea," which in turn came from Greek "idea" meaning a visible form or appearance, before it took on the sense of a mental image. From Late Latin "ideālis," meaning existing in idea, the word passed into French as "idéal," and English borrowed it from there. Its mathematical sense has a sharper origin. In 1871, the German mathematician Richard Dedekind used the term in an edition of a number theory text to name a special subset of a ring, a collection of numbers closed under addition and multiplication by any element of the ring. What began as a narrow technical device spread quickly: the idea was extended to ring theory, and later generalised to order theory. The set theory and Lie theory senses can be seen as applications of that order-theoretic idea.

Synonyms: perfect, optimal, model

Antonyms: imperfect, suboptimal