Ways a World Might Be
Metaphysical and Anti-Metaphysical Essays
Stalnaker, Robert C. Department of Linguistics and Philosophy, Massachusetts Institute of Technology
Print publication date: 2003 (this edition)
Published to Oxford Scholarship Online: April 2005
Print ISBN-13: 978-0-19-925148-3
doi:10.1093/0199251487.003.0003
Robert C. Stalnaker
This paper explores the analogy between mathematical Platonism and modal realism, and between Benacerraf’s dilemma and the epistemological objection. It is argued that the parallels and contrasts may clarify both modal realism and the general problem of model epistemology. The paper begins with a sketch of Benacerraf’s reasons for thinking that there is a prima facie conflict between a straightforward account of mathematical truth and a reasonable account of mathematical knowledge. It then develops presents a strategy to respond to the dilemma, and argues that this does not suggest a parallel response to the epistemological objection to modal realism. Finally, a more general problem for an epistemology of necessary truth is examined.
Keywords: mathematical Platonism, modal realism, Paul Benacerraf’s dilemma, mathematical truth, mathematical knowledge, epistemological objection, truth,
doi:10.1093/0199251487.003.0003
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Part1 Ways and Worlds
Part II Carving up Logical Space
Part III Identity in and across Possible Worlds
Part IV Semantics, Metasemantics, and Metaphysics
Part V Subjective Possibilities