On Ontology and Realism in Mathematics
| Abstract | The paper is concerned with the way in which “ontology” and “realism” are to be interpreted and applied so as to give us a deeper philosophical understanding of mathematical theories and practice. Rather than argue for or against some particular realistic position, I shall be concerned with possible coherent positions, their strengths and weaknesses. I shall also discuss related but different aspects of these problems. The terms in the title are the common thread that connects the various sections | |||||||||
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Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
Penelope Maddy (1995). Naturalism and Ontology. Philosophia Mathematica 3 (3):248-270.
Stewart Shapiro (1994). Mathematics and Philosophy of Mathematics. Philosophia Mathematica 2 (2):148-160.
Susan Vineberg (1996). Confirmation and the Indispensability of Mathematics to Science. Philosophy of Science 63 (3):263.
Gary H. Merrill (2010). Realism and Reference Ontologies: Considerations, Reflections, and Problems. Applied Ontology 5 (3-4):189-221.
Brian Ellis (1988). Internal Realism. Synthese 76 (3):409 - 434.
Aidan Lyon (2011). Mathematical Explanations Of Empirical Facts, And Mathematical Realism. Australasian Journal of Philosophy 90 (3):559 - 578.
Michael Resnik (1995). Scientific Vs. Mathematical Realism: The Indispensability Argument. Philosophia Mathematica 3 (2):166-174.
Penelope Maddy (1990). Realism in Mathematics. Oxford University Prress.
Donald Gillies (2010). Informational Realism and World 3. Knowledge, Technology and Policy 23 (1-2):7-24.
Robert S. Tragesser (1984). Husserl and Realism in Logic and Mathematics. Cambridge University Press.
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