e/Incommensurable magnitudes

Information
has gloss	eng: The Greek discovery of incommensurable magnitudes changed the face of mathematics. At its most basic level it shed light on a glaring contradiction within the then current Greek conception of mathematical thought, which eventually resulted in a reformulation of both the methods and practice of mathematics in general. These reformulations brought about a new era in mathematics, and were the first stepping stones of some of our most important modern day conceptions, such as calculus.
lexicalization	eng: incommensurable magnitudes
instance of	(noun) a real number that cannot be expressed as a rational number irrational number, irrational