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Chris Mortensen [73]Christian Edward Mortensen [3]
  1.  83
    Inconsistent mathematics.Chris Mortensen - 2008 - Studia Logica.
  2. Anything is possible.Chris Mortensen - 1989 - 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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  3.  76
    Frontiers in Paraconsistent Logic.Diderik Batens, Chris Mortensen, Graham Priest & Jean Paul Van Bendegem (eds.) - 2000 - Research Studies Press.
    Paraconsistent logic, logic in which inconsistent information does not deliver arbitrary conclusions, is one of the fastest growing areas of logic, with roots in profound philosophical issues, and applications in information processing and philosophy of science. This book contains selected papers presented at the First World Congress on Paraconsistency, held in Ghent in 1997. It contains papers on various aspects of the subject. As such, it should be of interest to all who want to learn what the subject is, and (...)
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  4.  6
    Mental images: Should cognitive science learn from neurophysiology?Chris Mortensen - 1989 - In Peter Slezak (ed.), Computers, Brains and Minds. Kluwer Academic Publishers. pp. 123--136.
  5.  17
    Conscious decisions.Chris Mortensen - 1985 - Behavioral and Brain Sciences 8 (4):548-549.
  6.  47
    Inconsistent models for relevant arithmetics.Robert Meyer & Chris Mortensen - 1984 - Journal of Symbolic Logic 49 (3):917-929.
    This paper develops in certain directions the work of Meyer in [3], [4], [5] and [6]. In those works, Peano’s axioms for arithmetic were formulated with a logical base of the relevant logic R, and it was proved finitistically that the resulting arithmetic, called R♯, was absolutely consistent. It was pointed out that such a result escapes incau- tious formulations of Goedel’s second incompleteness theorem, and provides a basis for a revived Hilbert programme. The absolute consistency result used as a (...)
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  7.  13
    The Logic of Inconsistency.Chris Mortensen - 1981 - Philosophical Quarterly 31 (124):275-277.
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  8.  50
    Chunk and permeate III: the Dirac delta function.Richard Benham, Chris Mortensen & Graham Priest - 2014 - 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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  9.  55
    Aristotle's thesis in consistent and inconsistent logics.Chris Mortensen - 1984 - 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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  10. The truth teller paradox.Chris Mortensen & Graham Priest - 1981 - Logique Et Analyse 24 (95):381-388.
     
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  11.  12
    Every quotient algebra for $C_1$ is trivial.Chris Mortensen - 1980 - Notre Dame Journal of Formal Logic 21 (4):694-700.
  12.  40
    Change and inconsistency.Chris Mortensen - forthcoming - Stanford Encyclopedia of Philosophy.
  13.  13
    Finance, Nature and Ontology.Glen Lehman & Chris Mortensen - 2021 - Topoi 40 (4):715-724.
    The paper examines connections between ontology and finance. The ontological debates concerning the role of finance are examined between two opposing schools of thought that can be labelled, very broadly, ‘instrumentalist’ and ‘realist’. These two schools of thought have had momentous repercussions in understanding what is a good society. Each school defines Nature in particular ways which can be explored using ontology and philosophical insight. Our theoretical investigation aims to accommodate Nature in community financial deliberations. A positive role for government (...)
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  14. Paraconsistency and C1.Chris Mortensen - 1989 - In G. Priest, R. Routley & J. Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag. pp. 289--305.
     
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  15.  40
    The limits of change.Chris Mortensen - 1985 - Australasian Journal of Philosophy 63 (1):1 – 10.
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  16.  31
    The validity of disjunctive syllogism is not so easily proved.Chris Mortensen - 1983 - Notre Dame Journal of Formal Logic 24 (1):35-40.
  17.  51
    Physical topology.Chris Mortensen & Graham Nerlich - 1978 - Journal of Philosophical Logic 7 (1):209 - 223.
  18.  42
    Peeking at the Impossible.Chris Mortensen - 1997 - 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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  19. A sequence of normal modal systems with non-contingency bases.Chris Mortensen - 1976 - Logique Et Analyse 19 (74):341-344.
  20.  49
    Relevance and verisimilitude.Chris Mortensen - 1983 - 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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  21.  43
    How Many Impossible Images Did Escher Produce?Chris Mortensen, Steve Leishman, Peter Quigley & Theresa Helke - 2013 - 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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  22. Arguing for Universals.Chris Mortensen - 1987 - Revue Internationale de Philosophie 41 (1):97.
     
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  23.  27
    Inconsistent number systems.Chris Mortensen - 1987 - Notre Dame Journal of Formal Logic 29 (1):45-60.
  24.  52
    On the possibility of science without numbers.Chris Mortensen - 1998 - Australasian Journal of Philosophy 76 (2):182 – 197.
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  25. In the beginning.Chris Mortensen - 2003 - 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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  26.  44
    Motion perception as inconsistent.Chris Mortensen - 2013 - 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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  27.  58
    An Analysis of Inconsistent and Incomplete Necker Cubes.Chris Mortensen - 2006 - Australasian Journal of Logic 4:216-225.
    This paper aims to distinguish and classify sixteen versions of the Necker cube. In particular, it is shown how to describe inconsistent and incomplete theories which correspond in a systematic way to these sixteen diagrams. Concerning two of these sixteen cubes, there is a natural intuition that there is a sense in which they inconsistent. It is seen that this intuition is vindicated by an analysis in which their corresponding theories turn out to be globally inconsistent but not locally inconsistent, (...)
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  28.  10
    Graham Charles Nerlich.Chris Mortensen & Antony Eagle - forthcoming - Australasian Journal of Philosophy:1-2.
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  29. 22. It Isn't So, But Could It Be?Chris Mortensen - 2005 - Logique Et Analyse 48.
     
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  30.  14
    Introduction.Christian Edward Mortensen & Graham Priest - 2006 - In Graham Priest (ed.), Doubt Truth to Be a Liar. Oxford University Press.
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  31.  24
    On Logical Strength and Weakness.Chris Mortensen & Tim Burgess - 1989 - 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.  71
    The Leibniz continuity condition, inconsistency and quantum dynamics.Chris Mortensen - 1997 - 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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  33.  16
    Reply to Burgess and to Read.Chris Mortensen - 1986 - Notre Dame Journal of Formal Logic 27 (2):195-200.
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  34. Dharmakirti and Priest on change.Chris Mortensen - 2004 - 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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  35.  17
    Topological Separation Principles And Logical Theories.Chris Mortensen - 2000 - Synthese 125 (1):169-178.
    This paper is dedicated to Newton da Costa, who, among his many achievements, was the first to aim at dualising intuitionism in order to produce paraconsistent logics, the C-systems. This paper similarly dualises intuitionism to a paraconsistent logic, but the dual is a different logic, namely closed set logic. We study the interaction between the properties of topological spaces, particularly separation properties, and logical theories on those spaces. The paper begins with a brief survey of what is known about the (...)
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  36. In defense of dharmakīrti -- a response to Tanaka.Chris Mortensen - 2007 - Philosophy East and West 57 (2):253-256.
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  37.  14
    Model structures and set algebras for Sugihara matrices.Chris Mortensen - 1982 - Notre Dame Journal of Formal Logic 23 (1):85-90.
  38.  71
    In the Beginning.Chris Mortensen - 2003 - Erkenntnis 59 (2):141-156.
    In this paper, a survey is made of some of the contributions to the interpretation of Hartle and Hawking’s theory of the wave function of the universe and its beginning. It is argued that there are considerable difficulties with the interpretation of the theory, but that there is at least one interpretation hitherto not found in the literature which survives existing philosophical objections.
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  39. A Theorem On Verisimilitude.Chris Mortensen - 1978 - Bulletin of the Section of Logic 7 (1):34-40.
  40. In Defense of Dharmakīrti: A Response to Tanaka.Chris Mortensen - 2007 - Philosophy East and West 57 (2):253-256.
  41.  41
    Topological separation principles and logical theories.Chris Mortensen - 2000 - 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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  42.  41
    Inconsistent nonstandard arithmetic.Chris Mortensen - 1987 - 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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  43.  27
    Introduction: Approaching Sylvan and this Collection of Articles.Filippo Casati, Chris Mortensen & Graham Priest - 2018 - Australasian Journal of Logic 15 (2):28.
    Introduction to the Routley/Sylvan Issue.
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  44. RICHARDS, T., "The Language of Reason". [REVIEW]Chris Mortensen - 1979 - Australasian Journal of Philosophy 57:283.
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  45.  52
    What about the unconscious?Chris Mortensen - 1999 - 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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  46.  21
    Inconsistent Mathematics.Category Theory.Closed Set Sheaves and Their Categories.Foundations: Provability, Truth and Sets. [REVIEW]Newton C. A. da Costa, Otavio Bueno, Chris Mortensen, Peter Lavers, William James & Joshua Cole - 1997 - Journal of Symbolic Logic 62 (2):683.
  47.  36
    Zen and the unsayable.Chris Mortensen - 2009 - 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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  48.  13
    Linear Algebra Representation of Necker Cubes I: The Crazy Crate.Chris Mortensen & Steve Leishman - 2009 - Australasian Journal of Logic 7:1-9.
    We apply linear algebra to the study of the inconsistent figure known as the Crazy Crate. Disambiguation by means of occlusions leads to a class of sixteen such figures: consistent, complete, both and neither. Necessary and sufficient conditions for inconsistency are obtained.
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  49.  31
    Explaining Existence.Chris Mortensen - 1986 - Canadian Journal of Philosophy 16 (4):713 - 722.
    The problem of why something exists rather than nothing is doubtless as old as human philosophising. Of comparable antiquity is the observation that one cannot hope to explain why something exists rather than nothing by appealing to the existence of something else, on pain of vicious circularity.In this paper, I distinguish between the question of why anything exists, and the question of why particulars exist. These two questions are equivalent only if the only things that exist are particulars. Certainly many (...)
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  50.  21
    Buddhism and Psychotherapy.Chris Mortensen - 2012 - Internationale Zeitschrift Für Philosophie Und Psychosomatik 2.
    This paper identifies important similarities in the approach to psychological suffering, between Buddhism and modern cognitive therapies, particularly by surveying the contribution of the eighth century Buddhist master Santideva. The paper then finds differences between Buddhism and psychotherapy on several criteria, including the role and dangers of the practice of meditation as seen especially from a Jungian perspective. The paper then proposes a reconciliation by way of defining The Complementary Hypothesis. This opens up the question of different conceptions of the (...)
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