proposition vs should

proposition

verb
  • To make an offer or suggestion to (someone). 

  • To make a suggestion of sexual intercourse to (someone with whom one is not sexually involved). 

noun
  • An assertion so formulated that it can be considered true or false. 

  • A statement of religious doctrine; an article of faith; creed. 

  • In some states, a proposed statute or constitutional amendment to be voted on by the electorate. 

  • The terms of a transaction offered. 

  • An assertion which is provably true, but not important enough to be called a theorem. 

  • The act of offering (an idea) for consideration. 

  • An idea or a plan offered. 

  • A complete sentence. 

  • The part of a poem in which the author states the subject or matter of it. 

  • The content of an assertion that may be taken as being true or false and is considered abstractly without reference to the linguistic sentence that constitutes the assertion; (Aristotelian logic) a predicate of a subject that is denied or affirmed and connected by a copula. 

should

verb
  • Used to express what the speaker would do in another person's situation, as a means of giving a suggestion or recommendation. 

  • Will be likely to (become or do something); indicates a degree of possibility or probability that the stated thing will happen or be true in the future. 

  • Indicates that something is expected to have happened or to be the case now. 

  • Used to express a conditional outcome. 

  • With verbs such as 'see' or 'hear', usually in the second person, used to point out something remarkable in either a good or bad way. 

  • To make a statement of what ought to be true, as opposed to reality. 

  • Used to impart a tentative, conjectural or polite nuance. 

  • Simple past tense of shall. 

  • In questions, asks what is correct, proper, desirable, etc. 

  • Used to issue an instruction (traditionally seen as carrying less force of authority than alternatives such as 'shall' or 'must'). 

  • Used to give advice or opinion that an action is, or would have been, beneficial or desirable. 

  • Used to form a variant of the present subjunctive, expressing a state or action that is hypothetical, potential, mandated, etc. 

noun
  • Something that ought to be the case as opposed to already being the case. 

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