Unfortunately for Pythagoras, his theorem led at once to the discovery of incommensurables, which appeared to disprove his whole philosophy.
Not able to be measured by the same standards as another term in the context; see measurement; contrast with unmeasurable or immeasurable, each of which means not able to be measured at all, the former more generally, the latter generally due to some infinite quality of the thing being described
1. (adj.) Impossible to measure or compare.2. (adj.) Lacking a common quality on which to make a comparison.3. (Math. adj.) Having no common measure or number of which all the given lengths or measures are integral multiples.4. (Math. adj.) Having an irrational ratio.5. (noun) One that is incommensurable
Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is an aliquot part of both; the side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable
not having a common factor impossible to measure or compare in value or size or excellence