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conjecture  (conjectures plural & 3rd person present) (conjecturing present participle) (conjectured past tense & past participle )
1  n-var A conjecture is a conclusion that is based on information that is not certain or complete. 
FORMAL 
(=surmise) 

That was a conjecture, not a fact..., There are several conjectures..., The attitudes of others were matters of conjecture although there were plenty of rumours about how individuals had behaved.  
2  verb When you conjecture, you form an opinion or reach a conclusion on the basis of information that is not certain or complete. 
FORMAL 
(=surmise) 

He conjectured that some individuals may be able to detect major calamities...  V that 
This may be true or partly true; we are all conjecturing here.  V