David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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History and Philosophy of Logic 6 (1):191-209 (1985)
In Science without numbers Hartry Field attempted to formulate a nominalist version of Newtonian physics?one free of ontic commitment to numbers, functions or sets?sufficiently strong to have the standard platonist version as a conservative extension. However, when uses for abstract entities kept popping up like hydra heads, Field enriched his logic to avoid them. This paper reviews some of Field's attempts to deflate his ontology by inflating his logic
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References found in this work BETA
John P. Burgess (1984). Synthetic Mechanics. Journal of Philosophical Logic 13 (4):379 - 395.
Charles S. Chihara (1984). A Simple Type Theory Without Platonic Domains. Journal of Philosophical Logic 13 (3):249 - 283.
Hartry Field (1984). Is Mathematical Knowledge Just Logical Knowledge? Philosophical Review 93 (4):509-552.
Hartry Field (1980). Science Without Numbers. Princeton University Press.
Nelson Goodman (1951). The Structure of Appearance. Harvard University Press.
Citations of this work BETA
Russell Marcus (2013). Intrinsic Explanation and Field's Dispensabilist Strategy. International Journal of Philosophical Studies 21 (2):163 - 183.
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Hartry Field (1989). Realism, Mathematics & Modality. Basil Blackwell.
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Michael D. Resnik (1985). How Nominalist is Hartry Field's Nominalism? Philosophical Studies 47 (2):163 - 181.
Hartry Field (1988). Realism, Mathematics and Modality. Philosophical Topics 16 (1):57-107.
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David Liggins (2006). Is There a Good Epistemological Argument Against Platonism? Analysis 66 (290):135–141.
Charles Chihara (2010). New Directions for Nominalist Philosophers of Mathematics. Synthese 176 (2):153 - 175.
Glen Meyer (2009). Extending Hartry Field's Instrumental Account of Applied Mathematics to Statistical Mechanics. Philosophia Mathematica 17 (3):273-312.
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