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28Pluralism and “Bad” Mathematical Theories: Challenging our PrejudicesIn Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications, Springer. pp. 277--307. 2013.
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IntroductionIn Pluralism in Mathematics: A New Position in Philosophy of Mathematics, Springer. 2013.
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50An Analysis of the Notion of Rigour in ProofsLogic and Philosophy of Science 9 (1): 165-171. 2011.We are told that there are standards of rigour in proof, and we are told that the standards have increased over the centuries. This is fairly clear. But rigour has also changed its nature. In this paper we as-sess where these changes leave us today.1 To motivate making the new assessment, we give two illustra-tions of changes in our conception of rigour. One, concerns the shift from geometry to arithmetic as setting the standard for rig-our. The other, concerns the notion of effective proof or c…Read more
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3Paul Tomassi, Logic: How to Think Logically Reviewed byPhilosophy in Review 20 (4): 240-244. 2000.
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9Introducing Philosophy of MathematicsRoutledge. 2007.What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in math…Read more
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76Using Mathematics to Explain a Scientific TheoryPhilosophia Mathematica 24 (2): 185-213. 2016.We answer three questions: 1. Can we give a wholly mathematical explanation of a physical phenomenon? 2. Can we give a wholly mathematical explanation for a whole physical theory? 3. What is gained or lost in giving a wholly, or partially, mathematical explanation of a phenomenon or a scientific theory? To answer these questions we look at a project developed by Hajnal Andréka, Judit Madarász, István Németi and Gergely Székely. They, together with collaborators, present special relativity theory…Read more
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Areas of Specialization
Science, Logic, and Mathematics |
Metaphysics and Epistemology |
Philosophy, Misc |