David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Australasian Journal of Philosophy 67 (3):286 – 294 (1989)
Einstein, like most philosophers, thought that there cannot be mathematical truths which are both necessary and about reality. The article argues against this, starting with prima facie examples such as "It is impossible to tile my bathroom floor with (equally-sized) regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematics.
|Keywords||Necessity in mathematics Applicability of mathematics|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Aristotle (1960). Metaphysics. Univ of Michigan Pr.
Bertrand Russell (1917/1981). Mysticism and Logic, and Other Essays. Barnes & Noble Books.
Alan Musgrave (1977). Logicism Revisited. British Journal for the Philosophy of Science 28 (2):99-127.
Julius R. Weinberg (1965). Abstraction, Relation, and Induction. University of Wisconsin Press.
Glenn R. Proclus & Morrow (1970). A Commentary on the First Book of Euclid's Elements. Monograph Collection (Matt - Pseudo).
Citations of this work BETA
James Franklin (1994). The Formal Sciences Discover the Philosophers' Stone. Studies in History and Philosophy of Science 25 (4):513-533.
Similar books and articles
Keith Devlin (2008). A Mathematician Reflects on the Useful and Reliable Illusion of Reality in Mathematics. Erkenntnis 68 (3):359 - 379.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan
Feng Ye (2010). The Applicability of Mathematics as a Scientific and a Logical Problem. Philosophia Mathematica 18 (2):144-165.
L. Luce (1991). Literalism and the Applicability of Arithmetic. British Journal for the Philosophy of Science 42 (4):469-489.
Mark Steiner (1998). The Applicability of Mathematics as a Philosophical Problem. Harvard University Press.
Christian Hennig (2010). Mathematical Models and Reality: A Constructivist Perspective. [REVIEW] Foundations of Science 15 (1):29-48.
Mark Steiner (1995). The Applicabilities of Mathematics. Philosophia Mathematica 3 (2):129-156.
Davide Rizza (2010). Mathematical Nominalism and Measurement. Philosophia Mathematica 18 (1):53-73.
Stewart Shapiro (1983). Mathematics and Reality. Philosophy of Science 50 (4):523-548.
Michael Dummett (1998). La existencia de los objetos matemáticos. Teorema: International Journal of Philosophy 17 (2):5-24.
Added to index2009-01-28
Total downloads45 ( #74,438 of 1,725,584 )
Recent downloads (6 months)5 ( #134,647 of 1,725,584 )
How can I increase my downloads?