Graduate studies at Western
Australasian Journal of Philosophy 67 (3):286 – 294 (1989)
|Abstract||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)|
|Through your library||Configure|
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.
Stewart Shapiro (1983). Mathematics and Reality. Philosophy of Science 50 (4):523-548.
Davide Rizza (2010). Mathematical Nominalism and Measurement. Philosophia Mathematica 18 (1):53-73.
Mark Steiner (1995). The Applicabilities of Mathematics. Philosophia Mathematica 3 (2):129-156.
Christian Hennig (2010). Mathematical Models and Reality: A Constructivist Perspective. [REVIEW] Foundations of Science 15 (1):29-48.
Mark Steiner (1998). The Applicability of Mathematics as a Philosophical Problem. Harvard University Press.
L. Luce (1991). Literalism and the Applicability of Arithmetic. British Journal for the Philosophy of Science 42 (4):469-489.
Feng Ye (2010). The Applicability of Mathematics as a Scientific and a Logical Problem. Philosophia Mathematica 18 (2):144-165.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Added to index2009-01-28
Total downloads31 ( #44,914 of 738,687 )
Recent downloads (6 months)1 ( #61,778 of 738,687 )
How can I increase my downloads?