Etymology
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conjecture (n.)

late 14c., "interpretation of signs, dreams, and omens," also "a supposing, a surmising," from Old French conjecture "surmise, guess," or directly from Latin coniectura "conclusion, interpretation, guess, inference," literally "a casting together (of facts, etc.)," from coniectus, past participle of conicere "to throw together," from assimilated form of com "together" (see con-) + iacere "to throw" (from PIE root *ye- "to throw, impel").

Sense of "an unverified supposition" is from 1520s; that of "act of forming of opinion without proof" is from 1530s.

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conjecture (v.)

early 15c., "infer, predict, form (an opinion or notion) upon probabilities or slight evidence," from conjecture (n.) or from verbs in Medieval Latin and Old French. Middle English had also the parallel forms conjecte (n.), conjecten (v.). Related: Conjectured; conjecturing.

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conject (v.)

"to conjecture, suppose, assume," also "to contrive, plot," late 14c., from Latin coniectare; an obsolete verb replaced by conjecture (v.). Also in form congette.

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*ye- 

*yē-, Proto-Indo-European root meaning "to throw, impel."

It forms all or part of: abject; abjection; adjacence; adjacent; adjective; aphetic; catheter; circumjacent; conjecture; deject; ease; ejaculate; eject; enema; gist; ictus; interjacent; inject; interject; interjection; jess; jet (v.1) "to sprout or spurt forth, shoot out;" jet (n.1) "stream of water;" jete; jetsam; jettison; jetton; jetty (n.) "pier;" joist; jut; object; objection; objective; paresis; project; projectile; reject; rejection; subjacent; subject; subjective; trajectory.

It is the hypothetical source of/evidence for its existence is provided by: Hittite ijami "I make;" Latin iacere "to throw, cast."

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stochastic (adj.)

1660s, "pertaining to conjecture," from Greek stokhastikos "able to guess, conjecturing," from stokhazesthai "to guess, aim at, conjecture," from stokhos "a guess, aim, fixed target, erected pillar for archers to shoot at," perhaps from PIE *stogh-, variant of root *stegh- "to stick, prick, sting." The sense of "randomly determined" is from 1934, from German stochastik (1917).

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conjectural (adj.)

"depending on conjecture, implying a guess," 1550s, from Latin coniecturalis "belonging to conjecture," from coniectura "a conclusion, interpretation, guess, inference," literally "a casting together (of facts, etc.)," from past-participle stem of conicere "to throw together," from assimilated form of com "with, together" (see con-) + iacere "to throw" (from PIE root *ye- "to throw, impel"). Related: Conjecturally (mid-15c.); conjecturative (early 15c.).

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speculate (v.)

1590s, "view mentally, contemplate" (transitive), back-formation from speculation. Also formerly "view as from a watchtower" (1610s). Intransitive sense of "pursue truth by conjecture or thinking" is from 1670s. Meaning "to invest money upon risk for the sake of profit" is from 1785. Related: Speculated; speculating.

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gauze (n.)

1560s, gais, from French gaze, which is of uncertain origin. It has been conjectured to be from Arabic gazz "raw silk" [Barnhart], or from Gaza, Palestinian city associated with production of this fabric [Klein, Du Cagne], but Century Dictionary calls the latter conjecture, and there has been no evidence for either.

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opiniaster (n.)

"one obstinate in asserting or adhering to his own opinions," c. 1600, from French opiniastre, from Latin opinio "opinion, conjecture" (see opinion) + deprecatory suffix (see -aster). Another word in a similar sense was opinator "opinionated person" (1620s), from Latin opinator "one who supposes or conjectures." Also opiniator (1520s).

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presupposition (n.)

1530s, "surmise, conjecture, supposition antecedent to knowledge," from French présupposition and directly from Medieval Latin praesuppositionem (nominative praesuppositio), noun of action from past-participle stem of Latin praesupponere, from prae "before" (see pre-) + suppositio (see suppose). Meaning "postulation as of an antecedent condition," hence "a prerequisite" is from 1570s.

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