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sections II-III below. September
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rd ed.)
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rd ed.). Gödel's incompleteness theorems maybe taken to show that validity and soundness outrun provability andcomputability. The precise character of logical validity will vary according towhether the logic is classical or nonclassical, and within nonclassical logics, according to whether the logic is either merely a conservative extension ofclassical logic or a deviant logic. What this means is that not all rationalprocedures are classically logically valid.
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Computability and Logic
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Boolos, G.1
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New York: Cambridge
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What I am calling "principled rationality" is closely connectedwith the traditional notion of "pure reason"; see, for example, Laurence Bonjour, In Defense of Pure Reason (New York: Cambridge, 1998).
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Hollis, M.1
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The Groundless Normativity of Instrumental Rationality
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September
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Donald C. Hubin, "The Groundless Normativity of Instrumental Rationality, " this JOURNAL, XCVIII, 9 (September 2001): 445-68;
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Alternative Systems of Logic
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Lewis1
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See Haack, Deviant Logic (New York: Cambridge, 1974), chapter 1;
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Haack, Deviant Logic, Fuzzy Logic (Chicago: University Press, 1996), chapters 1 and 9;
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Gilbert Harman and Donald Davidson, eds, Boston: Reidel
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and George Lakoff, "Linguistics and Natural Logic, " in Gilbert Harman and Donald Davidson, eds., Semantics of Natural Language, (Boston:Reidel, 1972), pp. 545-665.
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1 76 London: Routledge and Kegan Paul
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Findlay, J.N.2
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Resnik, M.1
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B.J. Copeland, ed New York: Oxford at pp. 510-14
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It is also true that some versions of the thesis that logic isintrinsically hypothetically normative are non-psychologistic. See, for example, Resnik, "Logic: Normative or Descriptive? The Ethics of Belief or a Branchof Psycholog)?" Still, every psychologistic theory of logic holding thatlogic is intrinsically normative must also hold that logic is hypotheticallynormative.
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74
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Acting on Principle
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81
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See also Thomas Hill, "Kantian Constructivism in Ethics, "Ethics, XCIX (1989): 752-70;
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Ethics
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Extensional vs. Intuitive Reasoning: The Conjunctive Fallacy in Probability Judgment
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Kahneman2
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89
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Extracts from a Paper Entitled 'On the Mathematical Theory of Logic andon the Philosophical Interpretations of Its Methods and Processes' (1855 or1856)
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Boole at p. 246
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Boole, "Extracts from a Paper Entitled 'On the Mathematical Theoryof Logic and on the Philosophical Interpretations of Its Methods and Processes'(1855 or 1856), " in Boole, Studies in Logic and Probability, pp. 230-46, atp. 246.
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