conjecture

n. guess, supposition, assumption

v. hypothesize, guess, surmise, infer, speculate

In mathematics, a conjecture is a mathematical statement which appears likely to be true, but has not been formally proven to be true under the rules of mathematical logic. Once a conjecture is formally proven true it is elevated to the status of theorem and may be used afterwards without risk in the construction of other formal mathematical proofs. Until that time, mathematicians may use the conjecture on a provisional basis, but any resulting work is itself conjectural until the underlying conjecture is cleared up.
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Noun
1. a hypothesis that has been formed by speculating or conjecturing (usually with little hard evidence); "speculations about the outcome of the election"; "he dismissed it as mere conjecture"
(synonym) speculation
(hypernym) hypothesis, possibility, theory
(derivation) speculate, theorize, theorise, hypothesize, hypothesise, hypothecate, suppose
2. a message expressing an opinion based on incomplete evidence
(synonym) guess, supposition, surmise, surmisal, speculation, hypothesis
(hypernym) opinion, view
(hyponym) divination
3. reasoning that involves the formation of conclusions from incomplete evidence
(hypernym) reasoning, logical thinking, abstract thought
(hyponym) theorization, theorisation
(derivation) speculate, theorize, theorise, hypothesize, hypothesise, hypothecate, suppose
Verb
1. to believe especially on uncertain or tentative grounds; "Scientists supposed that large dinosaurs lived in swamps"
(synonym) speculate, theorize, theorise, hypothesize, hypothesise, hypothecate, suppose
(hypernym) expect, anticipate
(hyponym) reconstruct, construct, retrace

n. conjecture, guess, surmise

v. surmise

v. conjecture, hypothesize, guess, surmise, infer, speculate