David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Cambridge University Press (1994)
This original and exciting study offers a completely new perspective on the philosophy of mathematics. Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similiar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things as well. Jody Azzouni argues that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyses the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics both sensitive to mathematical practice, and to the ontological and epistemological issues that concern philosophers.
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|Call number||QA8.4.A98 1994|
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Citations of this work BETA
Jody Azzouni (2007). Ontological Commitment in the Vernacular. Noûs 41 (2):204–226.
Otávio Bueno (2010). A Defense of Second-Order Logic. Axiomathes 20 (2-3):365-383.
Mark McEvoy (2013). Does The Necessity of Mathematical Truths Imply Their Apriority? Pacific Philosophical Quarterly 94 (4):431-445.
Jody Azzouni (2009). Why Do Informal Proofs Conform to Formal Norms? Foundations of Science 14 (1-2):9-26.
Edwin Coleman (2009). The Surveyability of Long Proofs. Foundations of Science 14 (1-2):27-43.
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