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Chris Mortensen [49]Christian Edward Mortensen [8]
  1. Chris Mortensen (forthcoming). Change and Inconsistency. Stanford Encyclopedia of Philosophy.
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  2. Richard Benham, Chris Mortensen & Graham Priest (2014). Chunk and Permeate III: The Dirac Delta Function. Synthese 191 (13):3057-3062.
    Dirac’s treatment of his well known Delta function was apparently inconsistent. We show how to reconstruct his reasoning using the inconsistency-tolerant technique of Chunk and Permeate. In passing we take note of limitations and developments of that technique.
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  3. Chris Mortensen (2013). Arithmetic Starred. In. In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. 309--314.
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  4. Chris Mortensen (2013). Motion Perception as Inconsistent. Philosophical Psychology 26 (6):913-924.
    This paper offers an inconsistent model of motion perception. It was prompted by work on inconsistent motion due to Hegel and, following him, Priest. But the paper skirts Hegel's full scale idealism, by proposing that the inconsistency is with the cognitive contents of motion perception. The paper draws on work in the psychology of perception, and in the theory of inconsistency. I begin by noting the prima facie argument that temporal change threatens inconsistency, and canvassing ways in which this might (...)
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  5. Chris Mortensen, Steve Leishman, Peter Quigley & Theresa Helke (2013). How Many Impossible Images Did Escher Produce? British Journal of Aesthetics 53 (4):425-441.
    In this article we address the question of how many impossible images Escher produced. To answer requires us first to clarify a range of concepts, including content, ambiguity, illusion, and impossibility. We then consider, and reject, several candidates for impossibility before settling on an answer.
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  6. John Bigelow, Raymond D. Bradley, Andrew Brennan, Tony Coady, Peter Forrest, James Franklin, Karen Green, Russell Grigg, Matthew Sharpe, Jeanette Kennett, Neil Levy, Catriona Mackenzie, Gary Malinas, Chris Mortensen, Robert Nola, Paul Patton, Charles R. Pidgen, Val Plumwood, Graham Priest, Greg Restall, Jack Reynolds, Paul Thom & Michelle Boulous Walker (2011). The Antipodean Philosopher: Public Lectures on Philosophy in Australia and New Zealand. Lexington Books.
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  7. Christian Edward Mortensen (2011). Merge. Australasian Journal of Logic 8:135-143.
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  8. Chris Mortensen (2009). Robert K. Meyer. Australasian Journal of Philosophy 87 (3):533 – 534.
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  9. Chris Mortensen (2009). Zen and the Unsayable. In Mario D'Amato, Jay L. Garfield & Tom J. F. Tillemans (eds.), Pointing at the Moon: Buddhism, Logic, Analytic Philosophy. Oxford University Press.
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  10. Chris Mortensen, Inconsistent Mathematics. Stanford Encyclopedia of Philosophy.
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  11. Diderik Batens, Christian Edward Mortensen, Graham Priest & Jean-Paul Van Bendegem, Frontiers of Paraconsistent Logic.
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  12. Chris Mortensen (2007). In Defense of Dharmakīrti -- A Response to Tanaka. Philosophy East and West 57 (2):253-256.
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  13. Christian Edward Mortensen & Graham Priest, Introduction.
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  14. Chris Mortensen (2004). Dharmakirti and Priest on Change. Philosophy East and West 54 (1):20-28.
    : Competing accounts of change and motion are given by the seventh-century Buddhist logician Dharmakirti and the contemporary analytical philosopher Graham Priest. They agree on much, but disagree on the issue of the Law of Non-Contradiction. This paper takes Dharmakirti's side, appealing to current space-time theory, while making some qualifications.
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  15. Chris Mortensen (2003). In the Beginning. Erkenntnis 59 (2):141 - 156.
    In this paper, a survey is made of some of the contributionsto the interpretation of Hartle and Hawking's theory of thewave function of the universe and its beginning. It is arguedthat there are considerable difficulties with the interpretationof the theory, but that there is at least one interpretationhitherto not found in the literature which survives existingphilosophical objections.
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  16. Chris Mortensen (2000). Topological Separation Principles and Logical Theories. Synthese 125 (1-2):169 - 178.
    This paper is dedicated to Newton da Costa, who,among his many achievements, was the first toaim at dualising intuitionism in order to produce paraconsistent logics,the C-systems. This paper similarly dualises intuitionism to aparaconsistent logic, but the dual is a different logic, namely closed setlogic. We study the interaction between the properties of topologicalspaces, particularly separation properties, and logical theories on thosespaces. The paper begins with a brief survey of what is known about therelation between topology and modal logic, intuitionist logic (...)
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  17. Chris Mortensen (1999). What About the Unconscious? Behavioral and Brain Sciences 22 (1):162-162.
    O'Brien & Opie do not address the question of the psychotherapeutic role of unconscious representational states such as beliefs. A dilemma is proposed: if they accept the legitimacy of such states then they should modify what they say about dissociation, and if they do not, they owe us an account of why.
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  18. Christian Edward Mortensen (1999). What About the Unconscious? Behavioral and Brain Sciences 22 (1):162-162.
    O'Brien & Opie do not address the question of the psychotherapeutic role of unconscious representational states such as beliefs. A dilemma is proposed: if they accept the legitimacy of such states then they should modify what they say about dissociation, and if they do not, they owe us an account of why.
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  19. Chris Mortensen (1998). On the Possibility of Science Without Numbers. Australasian Journal of Philosophy 76 (2):182 – 197.
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  20. Chris Mortensen (1997). The Leibniz Continuity Condition, Inconsistency and Quantum Dynamics. Journal of Philosophical Logic 26 (4):377-389.
    A principle of continuity due to Leibniz has recently been revived by Graham Priest in arguing for an inconsistent account of motion. This paper argues that the Leibniz Continuity Condition has a reasonable interpretation in a different, though still inconsistent, class of dynamical systems. The account is then applied to the quantum mechanical description of the hydrogen atom.
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  21. Christian Edward Mortensen (1997). Peeking at the Impossible. Notre Dame Journal of Formal Logic 38 (4):527-534.
    The question of the interpretation of impossible pictures is taken up. Penrose's account is reviewed. It is argued that whereas this account makes substantial inroads into the problem, there needs to be a further ingredient. An inconsistent account using heap models is proposed.
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  22. J. Cole & Christian Edward Mortensen (1995). Fixed Point Theorems for Inconsistent and Incomplete Formation of Large Categories. Logique Et Analyse 139 (140):223-238.
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  23. Chris Mortensen (1995). Prior and Rennie on Times and Tenses. History and Philosophy of Logic 16 (1):65-73.
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  24. Chris Mortensen (1993). Private States and Animal Communication. Behavioral and Brain Sciences 16 (4):658.
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  25. Chris Mortensen, Gerard O'Brien & Belinda Paterson (1993). Distinctions: Subpersonal and Subconscious. Psycoloquy.
    Puccetti argues that Dennett's views on split brains are defective. First, we criticise Puccetti's argument. Then we distinguish persons, minds, consciousnesses, selves and personalities. Then we introduce the concepts of part-persons and part-consciousnesses, and apply them to clarifying the situation. Finally, we criticise Dennett for some contribution to the confusion.
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  26. Chris Mortensen (1990). Models for Inconsistent and Incomplete Differential Calculus. Notre Dame Journal of Formal Logic 31 (2):274-285.
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  27. Chris Mortensen (1990). The Powers of Machines and Minds. Behavioral and Brain Sciences 13 (4):678-679.
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  28. Chris Mortensen (1989). Anything is Possible. Erkenntnis 30 (3):319 - 337.
    This paper criticises necessitarianism, the thesis that there is at least one necessary truth; and defends possibilism, the thesis that all propositions are contingent, or that anything is possible. The second section maintains that no good conventionalist account of necessity is available, while the third section criticises model theoretic necessitarianism. The fourth section sketches some recent technical work on nonclassical logic, with the aim of weakening necessitarian intuitions and strengthening possibilist intuitions. The fifth section considers several a prioristic attempts at (...)
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  29. Chris Mortensen (1989). Mental Images: Should Cognitive Science Learn From Neurophysiology? In Peter Slezak (ed.), Computers, Brains and Minds. Kluwer. 123--136.
  30. Chris Mortensen (1989). Paraconsistency and C1. In G. Priest, R. Routley & J. Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag. 289--305.
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  31. Chris Mortensen & Tim Burgess (1989). On Logical Strength and Weakness. History and Philosophy of Logic 10 (1):47-51.
    First, we consider an argument due to Popper for maximal strength in choice of logic. We dispute this argument, taking a lead from some remarks by Susan Haack; but we defend a set of contrary considerations for minimal strength in logic. Finally, we consider the objection that Popper presupposes the distinctness of logic from science. We conclude from this that all claims to logical truth may be in equal epistemological trouble.
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  32. Chris Mortensen (1988). In Defence of Neurons. Behavioral and Brain Sciences 11 (1):44.
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  33. Chris Mortensen (1987). Inconsistent Number Systems. Notre Dame Journal of Formal Logic 29 (1):45-60.
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  34. Chris Mortensen (1987). Arguing for Universals in Nouvelles Tendances du Réalisme: La Perspective Australienne. Revue Internationale de Philosophie 41 (160):97-111.
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  35. Chris Mortensen (1987). Inconsistent Nonstandard Arithmetic. Journal of Symbolic Logic 52 (2):512-518.
    This paper continues the investigation of inconsistent arithmetical structures. In $\S2$ the basic notion of a model with identity is defined, and results needed from elsewhere are cited. In $\S3$ several nonisomorphic inconsistent models with identity which extend the (=, $\S4$ inconsistent nonstandard models of the classical theory of finite rings and fields modulo m, i.e. Z m , are briefly considered. In $\S5$ two models modulo an infinite nonstandard number are considered. In the first, it is shown how to (...)
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  36. Chris Mortensen (1987). Nonverbal Knowledge as Algorithms. Behavioral and Brain Sciences 10 (3):487.
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  37. Chris Mortensen (1986). Reply to Burgess and to Read. Notre Dame Journal of Formal Logic 27 (2):195-200.
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  38. Chris Mortensen (1986). Explaining Existence. Canadian Journal of Philosophy 16 (4):713 - 722.
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  39. Chris Mortensen (1985). Conscious Decisions. Behavioral and Brain Sciences 8 (4):548.
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  40. Chris Mortensen (1985). The Limits of Change. Australasian Journal of Philosophy 63 (1):1 – 10.
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  41. Robert K. Meyer & Chris Mortensen (1984). Inconsistent Models for Relevant Arithmetics. Journal of Symbolic Logic 49 (3):917-929.
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  42. Chris Mortensen (1984). Aristotle's Thesis in Consistent and Inconsistent Logics. Studia Logica 43 (1-2):107 - 116.
    A typical theorem of conaexive logics is Aristotle''s Thesis(A), (AA).A cannot be added to classical logic without producing a trivial (Post-inconsistent) logic, so connexive logics typically give up one or more of the classical properties of conjunction, e.g.(A & B)A, and are thereby able to achieve not only nontriviality, but also (negation) consistency. To date, semantical modellings forA have been unintuitive. One task of this paper is to give a more intuitive modelling forA in consistent logics. In addition, while inconsistent (...)
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  43. Chris Mortensen (1984). Introspection as the Key to Mental Life. Behavioral and Brain Sciences 7 (4):639.
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  44. Newton C. A. da Costa & Chris Mortensen (1983). Notes on the Theory of Variable Binding Term Operators. History and Philosophy of Logic 4 (1-2):63-72.
    The general theory of variable binding term operators is an interesting recent development in logic. It opens up a rich class of semantic and model-theoretic problems. In this paper we survey the recent literature on the topic, and offer some remarks on its significances and on its connections with other branches of mathematical logic.
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  45. Chris Mortensen (1983). The Validity of Disjunctive Syllogism is Not so Easily Proved. Notre Dame Journal of Formal Logic 24 (1):35-40.
  46. Chris Mortensen (1983). Relevance and Verisimilitude. Synthese 55 (3):353 - 364.
    Popper's definition looked initially promising provided that the restriction of classical logic was removed. As we have seen, this promise is not fulfilled. The search for a satisfactory verisimilitude ordering must therefore be pursued along more mainstream lines. The present exercise ought, however, to make us aware of the possibility that breakdowns of proposed definitions might only occur because of strictly classical assumptions.
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  47. Chris Mortensen (1982). Model Structures and Set Algebras for Sugihara Matrices. Notre Dame Journal of Formal Logic 23 (1):85-90.
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  48. Chris Mortensen (1982). A Mistaken Argument. Philosophical Quarterly 32 (129):358-359.
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  49. Chris Mortensen (1981). A Plea for Model Theory. Philosophical Quarterly 31 (123):152-157.
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  50. Chris Mortensen & Graham Priest (1981). The Truth Teller Paradox. Logique Et Analyse 24:381-388.
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