bag vs ideal

bag

noun
  • A collection of objects, disregarding order, but (unlike a set) in which elements may be repeated. 

  • A breathalyzer, so named because it formerly had a plastic bag over the end to measure a set amount of breath. 

  • One's preference. 

  • A container made of leather, plastic, or other material, usually with a handle or handles, in which you carry personal items, or clothes or other things that you need for travelling. Includes shopping bags, schoolbags, suitcases, and handbags. 

  • A soft container made out of cloth, paper, thin plastic, etc. and open at the top, used to hold food, commodities, and other goods. 

  • The scrotum. 

  • £1000, a grand. 

  • A sac in animal bodies, containing some fluid or other substance. 

  • An ugly woman. 

  • A fellow gay man. 

  • The cloth-covered pillow used for first, second, and third base. 

  • A small envelope that contains drugs, especially narcotics. 

  • A dark circle under the eye, caused by lack of sleep, drug addiction etc. 

  • A large number or amount. 

  • First, second, or third base. 

  • A pouch tied behind a man's head to hold the back-hair of a wig; a bag wig. 

  • A unit of measure of cement equal to 94 pounds. 

  • The quantity of game bagged in a hunt. 

verb
  • To arrest. 

  • To laugh uncontrollably. 

  • To take a woman away with one as a romantic or sexual interest. 

  • To steal. 

  • To put into a bag. 

  • To fit with a bag to collect urine. 

  • To hang like an empty bag. 

  • To drop away from the correct course. 

  • To gain possession of something, or to make first claim on something. 

  • To catch or kill, especially when fishing or hunting. 

  • To provide with artificial ventilation via a bag valve mask (BVM) resuscitator. 

  • To criticise sarcastically. 

  • To forget, ignore, or get rid of. 

  • To furnish or load with a bag. 

ideal

noun
  • 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 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 perfect standard of beauty, intellect etc., or a standard of excellence to aim at. 

  • 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 bag and ideal occurred in a corpus of books? (source: Google Ngram Viewer )