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Profile: Storrs McCall (McGill University)
  1. Storrs McCall, Hilbert’s Second Problem.
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  2. Storrs McCall, The Consistency of Arithmetic.
    The paper presents a proof of the consistency of Peano Arithmetic (PA) that does not lie in deducing its consistency as a theorem in an axiomatic system. PA’s consistency cannot be proved in PA, and to deduce its consistency in some stronger system PA+ is self-defeating, since the stronger system may itself be inconsistent. Instead, a semantic proof is constructed which demonstrates consistency not relative to the consistency of some other system but in an absolute sense.
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  3. Storrs McCall, Controlled Indeterministic Processes in Action Theory.
    A common criticism of free will or origination theories is that if what we do is not the result of an unbroken sequence of causes and effects, then it must to some degree be the product of chance. But in what sense can a chance act be intentional or deliberate, in what sense can it be based on reasons, and in what sense can a person be held responsible for it? If free and responsible action is incompatible with determinism, must (...)
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  4. Storrs McCall, Andrew Whitaker & Glyn George, Continuous Vs Discrete Processes: The Probabilistic Evolution of Single Trapped Ions.
    The evolution of a single trapped ion exhibiting intermittent fluorescence and dark periods may be described either as a continuous process, using differential rate equations, or discretely, as a Markov process. The latter models the atom as making instantaneous transitions from one energy eigenstate to another, and is open to the objection that superpositions of energy states will form which are not covered by the Markov process. The superposition objection is replied to, and two new mathematical elements, Markov vectors and (...)
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  5. Storrs McCall (2013). Does the Brain Lead the Mind? Philosophy and Phenomenological Research 86 (2):262-265.
    Over the last 25 years, experimental findings published by Benjamin Libet have indicated that conscious acts of will are preceded by a characteristic kind of brain event of which the agent is not conscious. It, Libet says, rather than the will, is what causes actions. His discoveries, if correct, would seem to imply that the notion of a free, conscious will is an illusion, and that actions are initiated by neural processes not under conscious control. In what follows it is (...)
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  6. Storrs McCall (2011). The Supervenience of Truth: Freewill and Omniscience. Analysis 71 (3):501-506.
  7. Storrs McCall & E. J. Lowe (2009). The Definition of Endurance. Analysis 69 (2):277-280.
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  8. Storrs Mccall (2008). The Ontology of Time. Philosophy and Phenomenological Research 76 (1):225–228.
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  9. Storrs Mccall & E. J. Lowe (2008). The Determinists Have Run Out of Luck—for a Good Reason. Philosophy and Phenomenological Research 77 (3):745-748.
    In his paper ‘‘Bad luck once again’’ Neil Levy attacks our proof of the consistency of libertarianism by reiterating a time-worn compatibilist complaint.1 This is, that what is not determined must be due to chance. If A has a choice of X or Y, neither X nor Y being causally determined, then if A chooses X it can only be by chance, never for a reason. The only ‘‘reason’’ that could explain the choice of X over Y would have to (...)
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  10. Storrs McCall (2007). Four Categories Are Better Than Two. Metascience 16 (1):121-125.
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  11. E. J. Lowe & Storrs McCall (2006). 3D/4D Controversy: A Strom in a Teacup'. Noûs 40 (3):570-578.
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  12. Storrs McCall & E. J. Lowe (2006). The 3d/4d Controversy: A Storm in a Teacup. Noûs 40 (3):570–578.
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  13. Storrs Mccall (2005). Time, Tense, and Reference. Philosophia 32 (1-4):423-433.
  14. Storrs Mccall & E. J. Lowe (2005). Indeterminist Free Will. Philosophy and Phenomenological Research 70 (3):681–690.
    The aim of the paper is to prove the consistency of libertarianism. We examine the example of Jane, who deliberates at length over whether to vacation in Colorado (C) or Hawaii (H), weighing the costs and benefits, consulting travel brochures, etc. Underlying phenomenological deliberation is an indeterministic neural process in which nonactual motor neural states n(C) and n(H) corresponding to alternatives C and H remain physically possible up until the moment of decision. The neurophysiological probabilities pr(n(C)) and pr(n(H)) evolve continuously (...)
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  15. Storrs Mccall (2003). Review: The Dappled World: A Study of the Boundaries of Science. [REVIEW] Mind 112 (445):99-106.
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  16. Storrs McCall & E. J. Lowe (2003). 3d/4d Equivalence, the Twins Paradox and Absolute Time. Analysis 63 (278):114–123.
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  17. Storrs McCall & E. J. Lowe (2003). D/4D Equivalence, the Twins Paradox and Absolute Time. Analysis 63 (278):114-123.
    The thesis of 3D/4D equivalence states that every three-dimensional description of the world is translatable without remainder into a four-dimensional description, and vice versa. In representing an object in 3D or in 4D terms we are giving alternative descriptions of one and the same thing, and debates over whether the ontology of the physical world is "really" 3D or 4D are pointless. The twins paradox is shown to rest, in relativistic 4D geometry, on a reversed law of triangle inequality. But (...)
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  18. Storrs McCall (2001). Axiomatic Quantum Theory. Journal of Philosophical Logic 30 (5):465-477.
    The basis of a rigorous formal axiomatization of quantum mechanics is constructed, built upon Dirac's bra-ket notation. The system is three-sorted, with separate variables for scalars, vectors and operators. First-order quantification over all three types of variable is permitted. Economy in the axioms is effected by, e.g., assigning a single logical function * to transform (i) a scalar into its complex conjugate, (ii) a ket vector into a bra and a bra into a ket, (iii) an operator into its adjoint. (...)
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  19. Storrs McCall (2001). On "Seeing" the Truth of the Godel Sentence. Facta Philosophica 3 (1):25-30.
  20. Storrs McCall (2000). QM and STR: The Combining of Quantum Mechanics and Relativity Theory. Philosophy of Science 67 (3):548.
    Combining quantum mechanics with special relativity requires (i) that a spacetime representation of quantum states be found; (ii) that such states, represented as extended along equal-time hyperplanes, be invariant when transformed from one frame to another; and (iii) that collapses of states be instantaneous in every frame. These requirements are met using branching spacetime, in which probabilities of outcomes are represented by the numerical proportions of branches on which the outcomes occur. Quantum states of systems are then identified with the (...)
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  21. Storrs McCall (1999). Can a Turing Machine Know That the Godel Sentence is True? Journal of Philosophy 96 (10):525-32.
  22. Storrs McCall (1999). Can a Turing Machine Know That the Gödel Sentence is True? Journal of Philosophy 96 (10):525 - 532.
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  23. Storrs McCall (1998). Time Flow Does Not Require a Second Time Dimension. Australasian Journal of Philosophy 76 (2):317 – 322.
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  24. Storrs McCall (1994). A Model of the Universe. Clarendon Press.
    Storrs McCall presents an original philosophical theory of the nature of the universe based on a striking new model of its space-time structure. He shows that this theory can illuminate a wide variety of hitherto unresolved philosophical problems. These include: the direction and flow of time; the nature of scientific laws; the interpretation of quantum mechanics; the definition of probability; counterfactual semantics; and the notions of identity, essential properties, deliberation, decision, and free will. A particular instance of the explanatory powers (...)
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  25. Storrs McCall & D. M. Armstrong (1989). God's Lottery. Analysis 49 (4):223 - 224.
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  26. Storrs McCall (1987). Decision. Canadian Journal of Philosophy 17 (2):261 - 287.
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  27. Storrs McCall (1985). An Essay on Free Will. Canadian Journal of Philosophy 15 (4):663-680.
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  28. Storrs McCall (1985). Incline Without Necessitating. Dialogue 24 (04):589-.
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  29. Storrs McCall (1984). A Dynamic Model of Temporal Becoming. Analysis 44 (4):172 - 176.
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  30. Storrs McCall (1984). Counterfactuals Based on Real Possible Worlds. Noûs 18 (3):463-477.
  31. Storrs McCall (1984). Freedom Defined as the Power to Decide. American Philosophical Quarterly 21 (October):329-38.
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  32. Storrs Mccall (1983). If, Since And Because. Logique Et Analyse 26 (September):309-322.
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  33. Storrs McCall (1983). Review: Mordchaj Wajsberg, Stanislaw J. Surma, Logical Works. [REVIEW] Journal of Symbolic Logic 48 (3):873-874.
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  34. Storrs McCall (1980). What is Quality of Life? Philosophica 25.
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  35. Storrs McCall (1979). The Strong Future Tense. Notre Dame Journal of Formal Logic 20 (3):489-504.
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  36. Storrs McCall (1977). Review: Jean-Louis Gardies, La Logique du Temps. [REVIEW] Journal of Symbolic Logic 42 (3):430-432.
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  37. Storrs McCall (1976). Objective Time Flow. Philosophy of Science 43 (3):337-362.
    A theory of temporal passage is put forward which is "objective" in the sense that time flow characterizes the universe independently of the existence of conscious beings. The theory differs from Grunbaum's "mind-dependence" theory, and is designed to avoid Grunbaum's criticisms of an earlier theory of Reichenbach's. The representation of temporal becoming is accomplished by the introduction of indeterministic universe-models; each model representing the universe at a time. The models depict the past as a single four-dimensional manifold, and the future (...)
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  38. Storrs McCall (1975). Review: A. N. Prior, Eugene Freeman, Wilfrid Sellars, Recent Advances in Tense Logic. [REVIEW] Journal of Symbolic Logic 40 (1):99-99.
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  39. Storrs McCall (1975). Review: C. L. Hamblin, Starting and Stopping; C. L. Hamblin, J. T. Fraser, F. C. Haber, G. H. Muller, Instants and Intervals. [REVIEW] Journal of Symbolic Logic 40 (1):99-100.
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  40. Storrs McCall (1975). Review: Richard Sharvy, Eugene Freeman, Wilfrid Sellars, Things. [REVIEW] Journal of Symbolic Logic 40 (1):100-101.
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  41. William H. Hanson, Gilbert Harman, N. L. Wilson, M. J. Cresswell, Storrs McCall & Margaret D. Wilson (1973). Reviews. [REVIEW] Synthese 26 (1):146-178.
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  42. Storrs McCall (1973). Review: P. T. Geach, Aristotle on Conjunctive Propositions. [REVIEW] Journal of Symbolic Logic 38 (4):661-662.
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  43. Nuel D. Belnap & Storrs McCall (1970). Every Functionally Complete $M$-Valued Logic has a Post-Complete Axiomatization. Notre Dame Journal of Formal Logic 11 (1):106-106.
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  44. Storrs McCall (1970). A Non-Classical Theory of Truth, with an Application to Intuitionism. American Philosophical Quarterly 7 (1):83 - 88.
    Any "classical" theory of truth will satisfy tarski's criterion ("p" is true if and only if p), And the principle of bivalence (every proposition is either true or false). A non-Classical theory may be obtained by rejecting these principles: - in fact it is shown that rejection of the second entails rejection of the first. If the resulting non-Classical theory is formalized, A system structurally isomorphic to either s4 or s5 is obtained. An attempt is made to show that the (...)
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  45. Storrs McCall (1969). Time and the Physical Modalities. The Monist 53 (3):426-446.
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  46. Storrs McCall (1968). Past, Present and Future. By Arthur Prior. Oxford: Clarendon Press, 1967. Pp. X, 217. $6.35. Dialogue 6 (04):618-621.
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  47. Storrs McCall (1968). Review: Atwell R. Turquette, A Method for Constructing Implication Logics. [REVIEW] Journal of Symbolic Logic 33 (2):308-309.
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  48. Storrs McCall (1967). Connexive Class Logic. Journal of Symbolic Logic 32 (1):83-90.
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  49. Storrs McCall (1967). Connexive Implication and the Syllogism. Mind 76 (303):346-356.
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