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WordNet records no synonym and no antonym for bayes' postulate. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
(statistics) the difficulty of applying Bayes' theorem is that the probabilities of the different causes are seldom known, in which case it may be postulated that they are all equal (sometimes known as postulating the equidistribution of ignorance)
Synonyms, antonyms and the broader and narrower relations for bayes' postulate come from Princeton University’s WordNet. Full sources and licences.