David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophical Perspectives 20 (1):95–121 (2006)
Neo-Fregeanism in the philosophy of mathematics consists of two main parts: the logicist thesis, that mathematics (or at least branches thereof, like arithmetic) all but reduce to logic, and the platonist thesis, that there are abstract, mathematical objects. I will here focus on the ontological thesis, platonism. Neo-Fregeanism has been widely discussed in recent years. Mostly the discussion has focused on issues specific to mathematics. I will here single out for special attention the view on ontology which underlies the neo-Fregeans’ claims about mathematical objects, and discuss this view in a broader setting
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Citations of this work BETA
Ross P. Cameron (2008). Truthmakers and Ontological Commitment: Or How to Deal with Complex Objects and Mathematical Ontology Without Getting Into Trouble. Philosophical Studies 140 (1):1 - 18.
Amie L. Thomasson (2009). The Easy Approach to Ontology. Axiomathes 19 (1):1-15.
Berit Brogaard (2008). Inscrutability and Ontological Commitment. Philosophical Studies 141 (1):21 - 42.
Øystein Linnebo (2012). Metaontological Minimalism. Philosophy Compass 7 (2):139-151.
Matthew C. Haug (2011). On the Prospects for Ontology: Deflationism, Pluralism, and Carnap's Principle of Tolerance. European Journal of Philosophy 21 (2):593-616.
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