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proposition (n.)

mid-14c., "a setting forth as a topic for discussion," from Old French proposicion "proposal, submission, (philosophical) proposition" (12c.), from Latin propositionem (nominative propositio) "a setting forth, statement, a presentation, representation; fundamental assumption," noun of action from past-participle stem of proponere (see propound). Meaning "action of proposing something to be done" is from late 14c. General sense of "matter, problem, undertaking" recorded by 1877. Related: Propositional.

proposition (v.)

1914, from proposition (n.); specifically of sexual favors from 1936. Related: Propositioned; propositioning.

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Definitions of proposition from WordNet
1
proposition (n.)
(logic) a statement that affirms or denies something and is either true or false;
proposition (n.)
a proposal offered for acceptance or rejection;
Synonyms: suggestion / proffer
proposition (n.)
an offer for a private bargain (especially a request for sexual favors);
proposition (n.)
the act of making a proposal;
Synonyms: proposal
proposition (n.)
a task to be dealt with;
securing adequate funding is a time-consuming proposition
2
proposition (v.)
suggest sex to;
She was propositioned by a stranger at the party
From wordnet.princeton.edu