Wittgenstein's Annotations to Hardy's Course of Pure Mathematics

Wittgenstein's Annotations to Hardy's Course of Pure Mathematics

An Investigation of Wittgenstein's Non-Extensionalist Understanding of the Real Numbers

Muehlhoelzer, Felix; Floyd, Juliet

Springer Nature Switzerland AG

09/2021

322

Mole

Inglês

9783030484835

15 a 20 dias

528

Descrição não disponível.
Part 1. Analysis of the Annotations.- 1. The Context of Wittgenstein's Annotations.- 2. Wittgenstein's Non-Extensionalist Point of View.- 3. Irrational Numbers: The Annotations on pp. 2-9, with Commentary.- 4. The Law of the Excluded Middle: A Digression.- 5. The Continuum of Real Numbers: The Annotations on pp. 10-30, with Commentary.- 6. Functions and Limits: The Annotations on pp. 40-47 and 117-121, With Commentary.- Part 2. Applications.- 7. Wittgenstein on Cantor's Diagonal Method (Felix Muehlhoelzer).- 8. Muehlhoelzer vs. Putnam on Wittgenstein and the Real Numbers (Juliet Floyd).- Part 3. Images.- 9. Images of Wittgenstein's Annotations to Hardy's A Course of Pure Mathematics.
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Wittgenstein;G.H. Hardy;Philosophy of Mathematics;Dedekind;Philosophy of Real Numbers;Non-extensionalist View of Mathematics;Cantor's Diagonal Method;Hilary Putnam's Philosophy of Mathematics;Dedekind Cuts;Cantor's Diagonal Argument