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conjecture (noun, verb):

noun
1a: inference formed without proof or sufficient evidence
b: a conclusion deduced by surmise or guesswork
c: a proposition (as in mathematics) before it has been proved or disproved
2 obsolete
a: interpretation of omens
b: supposition

verb
1: to arrive at or deduce by surmise or guesswork : guess
2: to make conjectures as to

Source : Merriam -Webster

Etymology : Conjecturing—forming an idea or opinion with some amount of guesswork—usually involves more than simply throwing ideas at the wall and seeing what sticks, but that’s the gist, and with good etymological reason: conjecture comes ultimately from the Latin verb conicere, which means, literally, “to throw together.” To conjecture is to make an educated guess rather than a stab in the dark; it involves piecing together bits of information to come to a plausible conclusion, as in “scientists conjecturing about the cause of the disease.” As such, conjecture tends to show up in formal contexts rather than informal ones.

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