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James Trafford [20]James L. Trafford [1]
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James Trafford
University For The Creative Arts
  1. Co-Constructive Logic for Proofs and Refutations.James Trafford - 2014 - Studia Humana 3 (4):22-40.
    This paper considers logics which are formally dual to intuitionistic logic in order to investigate a co-constructive logic for proofs and refutations. This is philosophically motivated by a set of problems regarding the nature of constructive truth, and its relation to falsity. It is well known both that intuitionism can not deal constructively with negative information, and that defining falsity by means of intuitionistic negation leads, under widely-held assumptions, to a justification of bivalence. For example, we do not want to (...)
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  2. Inference and Rational Commitment.James Trafford - 2013 - Prolegomena 12 (1):5-20.
    This peer-reviewed paper intervenes in debates relating to overarching themes that impact upon mass media studies, communication theory and theories of cognition more generally. In particular, the paper discusses issues involving how our ordinary psychological thinking relates to norms of rationality (and how these latter are conceived). In essence, I argue against a dominant approach taken by Christopher Peacocke, that rationality can be grounded in the possession of certain concepts. The article makes a new contribution to the field by arguing (...)
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  3.  76
    Compositionality and Modest Inferentialism.James Trafford - 2014 - Teorema: International Journal of Philosophy (1):39-56.
    This paper provides both a solution and a problem for the account of compositionality in Christopher Peacocke’s modest inferentialism. The immediate issue facing Peacocke’s account is that it looks as if compositionality can only be understood at the level of semantics, which is difficult to reconcile with inferentialism. Here, following up a brief suggestion by Peacocke, I provide a formal framework wherein compositionality occurs the level of the determining relation between inference and semantics. This, in turn provides a “test” for (...)
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  4.  6
    Structuring Co-Constructive Logic for Proofs and Refutations.James Trafford - 2016 - Logica Universalis 10 (1):67-97.
    This paper considers a topos-theoretic structure for the interpretation of co-constructive logic for proofs and refutations following Trafford :22–40, 2015). It is notoriously tricky to define a proof-theoretic semantics for logics that adequately represent constructivity over proofs and refutations. By developing abstractions of elementary topoi, we consider an elementary topos as structure for proofs, and complement topos as structure for refutation. In doing so, it is possible to consider a dialogue structure between these topoi, and also control their relation such (...)
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  5. Communicating Content.Alexandros Tillas & James Trafford - 2015 - Language and Communication 40:1-13.
    This paper aims to develop a unified account of communication, competence and reference fixing that surpasses problems with two of the most influential views on the philosophical market, neodescriptivism and the 'locking' theory. Our charge is that the conditions upon communication are less substantive than the neo-descriptivist account requires and the conditions upon reference-fixing are more substantive than those provided by the locking-view. In order to avoid the problems that neodescriptivist views face (e.g. holism), we suggest that the shareability of (...)
     
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  6.  69
    Expanding the Universe of Universal Logic.James Trafford - 2014 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 29 (3):325-343.
    In [5], Béziau provides a means by which Gentzen’s sequent calculus can be combined with the general semantic theory of bivaluations. In doing so, according to Béziau, it is possible to construe the abstract “core” of logics in general, where logical syntax and semantics are “two sides of the same coin”. The central suggestion there is that, by way of a modification of the notion of maximal consistency, it is possible to prove the soundness and completeness for any normal logic. (...)
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  7.  5
    Conditionals in Interaction.James Trafford - 2017 - Studia Humana 6 (1):39-49.
    There are several issues with the standard approach to the relationship between conditionals and assertions, particularly when the antecedent of a conditional is false. One prominent alternative is to say that conditionals do not express propositions, but rather make conditional assertions that may generate categorical assertions of the consequent in certain circumstances. However, this view has consequences that jar with standard interpretations of the relationship between proofs and assertion. Here, I analyse this relationship, and say that, on at least one (...)
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  8.  60
    The Shadow of a Puppet Dance: Metzinger, Ligotti and the Illusion of Selfhood.James Trafford - 2008 - Collapse: Philosophical Research and Development 4:185-207.
    This peer-reviewed essay is an intervention into the emerging field of 'Speculative Realism', which has links to the field of Speculative Aesthetics. The work is essentially an attempt to develop a theory of perception (and more broadly consciousness) that is not at odds with the scientific worldview. In this respect, the dominant views of aesthetic perception (Kantian / neo-Kantian phenomenology) are critiqued in favour of neurophilosophical views stemming from Thomas Metzinger. In order to position myself, I go on to analyse (...)
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  9.  40
    Speculative Aesthetics.James Trafford, Robin Mackay & Luke Pendrell (eds.) - 2014 - Urbanomic.
    Edited by James Trafford, Robin Mackay, and Luke Pendrell. Documenting a roundtable on the ramifications of Speculative Realism for aesthetics, this discussion ranges from contemporary art's relation to the aesthetic, to accelerationism and abstraction, logic and design.
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  10.  17
    Expanding the Universe of Universal Logic.James Trafford - 2014 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 29 (3):325-343.
    In, Béziau provides a means by which Gentzen’s sequent calculus can be combined with the general semantic theory of bivaluations. In doing so, according to Béziau, it is possible to construe the abstract "core" of logics in general, where logical syntax and semantics are "two sides of the same coin". Thecentral suggestion there is that, by way of a modification of the notion of maximal consistency, it is possible to prove the soundness and completeness for any normal logic. However, the (...)
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  11.  9
    Is ‘No’ a Force-Indicator? Yes, Sooner or Later!Fabien Schang & James Trafford - 2017 - Logica Universalis 11 (2):225-251.
    This paper discusses the philosophical and logical motivations for rejectivism, primarily by considering a dialogical approach to logic, which is formalized in a Question–Answer Semantics. We develop a generalised account of rejectivism through close consideration of Mark Textor’s arguments against rejectivism that the negative expression ‘No’ is never used as an act of rejection and is equivalent with a negative sentence. In doing so, we also shed light upon well-known issues regarding the supposed non-embeddability and non-iterability of force indicators.
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  12.  52
    Modal Rationalism and the Transference of Meaning.James L. Trafford - 2010 - Croatian Journal of Philosophy 10 (2):97-107.
    The lesson is familiar. Kripke’s arguments in favor of a posteriori necessary truths annul the idea that conceivability is a guide to metaphysical possibility because determining that which is a priori is a separate issue from determining that which is necessary. Modal rationalists do not completely agree with this conclusion. Following recent work on two-dimensional semantics, David Chalmers suggests that two distinct semantic values can be assigned to a statement, depending on whether we consider possible worlds as counterfactual or counteractual. (...)
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  13.  14
    Expanding the Universe.James Trafford - 2014 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 29 (3):325.
    In, Béziau provides a means by which Gentzen’s sequent calculus can be combined with the general semantic theory of bivaluations. In do- ing so, according to Béziau, it is possible to construe the abstract “core” of logics in general, where logical syntax and semantics are “two sides of the same coin”. The central suggestion there is that, by way of a modification of the notion of maximal consistency, it is possible to prove the soundness and completeness for any normal logic. (...)
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  14.  15
    Things Are Not What They Seem: The Trascendentalism of Appearances in the Refutation of Reductive Naturalism.James Trafford - 2011 - Kritike 5 (2):166-184.
    In this paper, I will re-examine the refutation of reductive naturalism by the anti-reductionist and the phenomenologist. I want first to outline a possible way of consistently polarising the field by showing that the anti-reductionist and phenomenologist adhere, at least to some degree, to what I will call the ‘principle of appearing qua appearing.’ The exemplar of reductive naturalism that I will go on to use is the work of Thomas Metzinger, which has come under serious criticism from phenomenologists. While (...)
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  15.  26
    Contemporary Debates in Philosophy of Mind.James Trafford - 2011 - Philosophical Psychology 24 (1):139-143.
  16.  11
    Duality and Inferential Semantics.James Trafford - 2015 - Axiomathes 25 (4):495-513.
    It is well known that classical inferentialist semantics runs into problems regarding abnormal valuations. It is equally well known that the issues can be resolved if we construct the inference relation in a multiple-conclusion sequent calculus. The latter has been prominently developed in recent work by Restall, with the guiding interpretation that the valid sequent says that the simultaneous assertion of all of Γ with the denial of all of Δ is incoherent. However, such structures face significant interpretive challenges, and (...)
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  17.  1
    Expanding the Universe.James Trafford - 2014 - Theoria : An International Journal for Theory, History and Fundations of Science 29 (3):325-343.
    In, Béziau provides a means by which Gentzen’s sequent calculus can be combined with the general semantic theory of bivaluations. In do- ing so, according to Béziau, it is possible to construe the abstract “core” of logics in general, where logical syntax and semantics are “two sides of the same coin”. The central suggestion there is that, by way of a modification of the notion of maximal consistency, it is possible to prove the soundness and completeness for any normal logic. (...)
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  18. An Inferentialist Approach to Paraconsistency.James Trafford - 2014 - Abstracta 8 (1):55-73.
    This paper develops and motivates a paraconsistent approach to semantic paradox from within a modest inferentialist framework. I begin from the bilateralist theory developed by Greg Restall, which uses constraints on assertions and denials to motivate a multiple-conclusion sequent calculus for classical logic, and, via which, classical semantics can be determined. I then use the addition of a transparent truth-predicate to motivate an intermediate speech-act. On this approach, a liar-like sentence should be “weakly asserted”, involving a commitment to the sentence (...)
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  19.  2
    Meaning in Dialogue: An Interactive Approach to Logic and Reasoning.James Trafford - 2017 - New York: Springer.
    This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning (...)
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  20. Review of Torin Alter and Sven Walter Phenomenal Concepts and Phenomenal Knowledge: New Essays on Consciousness and Physicalism. [REVIEW]James Trafford - 2009 - PSYCHE: An Interdisciplinary Journal of Research On Consciousness 15 (2).
    Phenomenal Concepts and Phenomenal Knowledge is an edited volume of new essays relating to the debates around phenomenal experience in philosophy of mind. Alter and Walter provide an excellent introduction to the volume, producing a well edited collection of papers that represent some of the most interesting and cutting edge work in the field, and together provide a subtle and complex overview of the contemporary theoretical landscape. In addition, as many of the papers refer to others within the volume, they (...)
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  21. The Natural History of the Unthinged: Iain Grant's Philosophies of Nature After Schelling. [REVIEW]James Trafford - 2008 - Pli 19.
     
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