Naturalism in the Philosophy of Mathematics

Contemporary philosophy’s three main naturalisms are methodological, ontological and epistemological. Methodological naturalism states that the only authoritative standards are those of science. Ontological and epistemological naturalism respectively state that all entities and all valid methods of inquiry are in some sense natural. In philosophy of mathematics of the past few decades methodological naturalism has received the lion’s share of the attention, so we concentrate on this. Ontological and epistemological naturalism in the philosophy of mathematics are discussed more briefly in section 6
Keywords nominalism   mathematics   naturalism   metaphysics   platonism  methodology of mathematics  naturalism in mathematics
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Chris Daly & David Liggins (2011). Deferentialism. Philosophical Studies 156 (3):321-337.

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