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|
Similar books and articles
Gottlob Frege (1950). E. Heine's and J. Thomae's Theories of Irrational Numbers. Philosophical Review 59 (1):79-93.
Iamblichus (1988). The Theology of Arithmetic: On the Mystical, Mathematical and Cosmological Symbolism of the First Ten Numbers. Phanes Press.
Richard Lewis (1997). Pythagoras & The Numbers Game. Philosophy Now 17:8-9.
Anthony Birch (2007). Waismann's Critique of Wittgenstein. Analysis and Metaphysics 6 (2007):263-272.
Charles Sayward (2002). A Conversation About Numbers and Knowledge. American Philosophical Quarterly 39 (3):275-287.
Friedrich Waismann (1951/2003). Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics. Dover Publications.
John A. Winnie (1992). Computable Chaos. Philosophy of Science 59 (2):263-275.
I. Grattan-Guinness (1980). Georg Cantor's Influence on Bertrand Russell. History and Philosophy of Logic 1 (1-2):61-93.
Added to index2009-01-28
Total downloads22 ( #56,255 of 549,250 )
Recent downloads (6 months)8 ( #8,956 of 549,250 )
How can I increase my downloads?