Criticism[edit]

Zermelo 1908[edit]

The outright prohibition implied by Russell's axiom of reducibility was roundly criticised by Ernst Zermelo in his 1908 Investigations in the foundations of set theory I, stung as he was by a demand similar to that of Russell that came from Poincaré:

(1967, 3rd printing 1976), From Frege to Godel: A Source Book in Mathematical Logic, 1879–1931, Harvard University Press, Cambridge, MA, ISBN 0-674-32449-8 (pbk)

van Heijenoort, Jean

Russell, Bertrand (1903) The Principles of Mathematics: Vol. 1, Cambridge at the University Press, Cambridge, UK, republished as a googlebook.

Whitehead, Alfred North and Russell, Bertrand (1910–1913, 2nd edition 1927, reprinted 1962 edition), Principia Mathematica to *56, Cambridge at the University Press, London UK, no ISBN or US card catalogue number.

Mario Livio (2009), Is God a Mathematician?, Simon and Schuster, New York, NY,  978-0-7432-9405-8.

ISBN

at PhilPapers

Axiom of reducibility