Talking about Numbers: Easy Arguments for Mathematical Realism [Book Review]

History and Philosophy of Logic 38 (4):390-394 (2017)
  Copy   BIBTEX

Abstract

In §57 of the Foundations of Arithmetic, Frege famously turns to natural language to support his claim that numbers are ‘self-subsistent objects’:I have already drawn attention above to the fact th...

Similar books and articles

Précis zu Talking About Numbers. Easy Arguments for Mathematical Realism.Katharina Felka - 2016 - Zeitschrift für Philosophische Forschung 70 (3):400-405.
Putnam's model-theoretic argument(s). A detailed reconstruction.Jürgen Dümont - 1999 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 30 (2):341-364.
Mathematical representation: playing a role.Kate Hodesdon - 2014 - Philosophical Studies 168 (3):769-782.
Multiple realization and expressive power in mathematics and ethics.David Liggins - 2016 - In Uri D. Leibowitz & Neil Sinclair (eds.), Explanation in Ethics and Mathematics: Debunking and Dispensability. Oxford, England: Oxford University Press UK.
Real Realism: The Galilean Strategy.Philip Kitcher - 2012 - Poznan Studies in the Philosophy of the Sciences and the Humanities 101:193-239.
What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut Jody Azzouni, Paul Benacerraf Justin Clarke-Doane, Jacques Dubucs Sébastien Gandon, Brice Halimi Jon Perez Laraudogoitia, Mary Leng Ana Leon-Mejia, Antonio Leon-Sanchez Marco Panza, Fabrice Pataut Philippe de Rouilhan & Andrea Sereni Stuart Shapiro (eds.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity (Fabrice Pataut, Editor). Springer.
If There Were No Numbers, What Would You Think?Thomas Mark Eden Donaldson - 2014 - Thought: A Journal of Philosophy 3 (4):283-287.
Real realism: The galilean strategy.Philip Kitcher - 2001 - Philosophical Review 110 (2):151-197.
Realismo/Anti-Realismo.Eduardo Castro - 2014 - Compêndio Em Linha de Problemas de Filosofia Analítica.

Analytics

Added to PP
2017-06-20

Downloads
507 (#36,667)

6 months
111 (#38,110)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Richard Lawrence
University of Vienna

Citations of this work

No citations found.

Add more citations

References found in this work

Frege.Michael Dummett - 1975 - Teorema: International Journal of Philosophy 5 (2):149-188.
Reference to numbers in natural language.Friederike Moltmann - 2013 - Philosophical Studies 162 (3):499 - 536.
Frege: Philosophy of Mathematics.Michael DUMMETT - 1991 - Philosophy 68 (265):405-411.
Number determiners, numbers, and arithmetic.Thomas Hofweber - 2005 - Philosophical Review 114 (2):179-225.

View all 13 references / Add more references