extreme vs ideal

extreme

noun
  • The greatest or utmost point, degree or condition. 

  • A drastic expedient. 

  • Either of the two numbers at the ends of a proportion, as 1 and 6 in 1:2=3:6. 

  • Each of the things at opposite ends of a range or scale. 

adj
  • Of a place, the most remote, farthest or outermost. 

  • Drastic, or of great severity. 

  • Of sports, difficult or dangerous; performed in a hazardous environment. 

  • Excessive, or far beyond the norm. 

  • In the greatest or highest degree; intense. 

ideal

noun
  • 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. 

adj
  • 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. 

How often have the words extreme and ideal occurred in a corpus of books? (source: Google Ngram Viewer )