disapproval You can describe someone's ideas or statements as supposition if you disapprove of the fact that they have no evidence to support them. The report has been rejected by the authorities, who said much of it was based on supposition or inaccuracy. something that you think is true, even though you are not certain and cannot prove it
A supposition is an idea or statement which someone believes or assumes to be true, although they may have no evidence for it. There's a popular supposition that we're publicly funded but the bulk of our money comes from competitive contracts = assumption