Did the greeks discover the irrationals?

Philosophy 74 (2):169-176 (1999)
Abstract
A popular view is that the great discovery of Pythagoras was that there are irrational numbers, e.g., the positive square root of two. Against this it is argued that mathematics and geometry, together with their applications, do not show that there are irrational numbers or compel assent to that proposition.
Keywords Friedrich Waismann  Bertrand Russell  Pythagoras  irrational numbers
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DOI 10.1017/S0031819199000248
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