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4Written for any readers interested in better harnessing philosophy's real value, this book covers a broad range of fundamental philosophical problems and certain intellectual techniques for addressing those problems. In Introducing Philosophy: God, Mind, World, and Logic, Neil Tennant helps any student in pursuit of a 'big picture' to think independently, question received dogma, and analyse problems incisively. It also connects philosophy to other areas of study at the university, enabling all …Read more
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46Game theory and conventiontNordic Journal of Philosophical Logic 6 (1): 3-19. 2001.This paper rebuts criticisms by Hintikka of the author's account of game-theoretic semantics for classical logic. At issue are (i) the role of the axiom of choice in proving the equivalence of the game-theoretic account with the standard truth-theoretic account; (ii) the alleged need for quantification over strategies when providing a game-theoretic semantics; and (iii) the role of Tarski's Convention T. As a result of the ideas marshalled in response to Hintikka, the author puts forward a new c…Read more
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93Paradoxes of pure curiosityTheory and Decision 38 (3): 321-330. 1995.We consider how a rational decision theorist would justify committing resources to an investigation designed to satisfy pure curiosity. We derive a strange result about the need to be completely open-minded about the outcome
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35Games some people would have all of us play: A critical study of J. Hintikka, The Principles of Mathematics Revisited (review)Philosophia Mathematica 6 (1): 226-241. 1998.
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106Cut for core logicReview of Symbolic Logic 5 (3): 450-479. 2012.The motivation for Core Logic is explained. Its system of proof is set out. It is then shown that, although the system has no Cut rule, its relation of deducibility obeys Cut with epistemic gain.
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23The aim here is to describe how to complete the constructive logicist program, in the author’s book Anti-Realism and Logic, of deriving all the Peano-Dedekind postulates for arithmetic within a theory of natural numbers that also accounts for their applicability in counting finite collections of objects. The axioms still to be derived are those for addition and multiplication. Frege did not derive them in a fully explicit, conceptually illuminating way. Nor has any neo-Fregean done so.
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Bob Hale and Crispin Wright. The reason's proper study: Essays towards a neo-Fregean philosophy of mathematicsPhilosophia Mathematica 11 (2): 226-240. 2003.
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98The Logical Structure of Scientific Explanation and Prediction: Planetary Orbits in a Sun’s Gravitational FieldStudia Logica 95 (1-2): 207-232. 2010.We present a logically detailed case-study of explanation and prediction in Newtonian mechanics. The case in question is that of a planet's elliptical orbit in the Sun's gravitational field. Care is taken to distinguish the respective contributions of the mathematics that is being applied, and of the empirical hypotheses that receive a mathematical formulation. This enables one to appreciate how in this case the overall logical structure of scientific explanation and prediction is exactly in acc…Read more
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