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Profile: Peter Sullivan (Martin)
  1. Peter Sullivan, A Version of the Picture Theory.
    0. My aims in this paper are largely expository: I am more interested in presenting the picture theory than deciding its truth. Even so, I hope that the arguments by which I develop the theory will do something to support it, since I believe that what I will present as Wittgenstein's view is indeed the truth. This is not an admission of insanity, though some things that have been thought intrinsic to the picture theory are things it would be insane (...)
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  2. Peter Sullivan, 32 Peter M. Sullivan.
    Define ‘het’ as a predicate that truly applies to itself if and only if it does not truly apply to itself and which also truly applies to any predicate that does not truly apply to its own name. We know that the attempted definition of ‘hes’ is a failure, and so a fortiori is that of ‘het’. Similarly, there is no Qussell class which contains itself as a member if and only if it does not contain itself as a member, (...)
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  3. Peter M. Sullivan & Michael D. Potter (eds.) (2013). Wittgenstein's Tractatus: History and Interpretation. Oxford University Press.
    These new studies of Wittgenstein's Tractatus represent a significant step beyond recent polemical debate.
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  4. Peter Sullivan & Michael Potter (eds.) (2013). Wittgenstein's Tractatus. History and Interpretation. OUP.
    This volume of newly written chapters on the history and interpretation of Wittgenstein's Tractatus represents a significant step beyond the polemical debate between broad interpretive approaches that has recently characterized the field. Some of the contributors might count their approach as "new" or "resolute," while others are more 'traditional', but all are here concerned primarily with understanding in detail the structure of argument that Wittgenstein presents within the Tractatus , rather than with its final self-renunciation, or with the character of (...)
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  5. Joel Smith & Peter Sullivan (eds.) (2011). Transcendental Philosophy and Naturalism. Oxford University Press.
    Transcendental Philosophy and Naturalism assesses the present state and contemporary relevance of this tradition.
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  6. Peter M. Sullivan (2010). Michael Dummett's Frege. In Tom Ricketts & Michael D. Potter (eds.), The Cambridge Companion to Frege. Cambridge University Press.
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  7. Peter Sullivan (2009). Danielle Macbeth, Frege's Logic. Cambridge, Ma: Harvard University Press, 2005. IX Þ 206 Pp.£ 29.95. Isbn 0-674-01707-2. [REVIEW] History and Philosophy of Logic 91:96.
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  8. Peter Sullivan (2007). Dummett's Case for Constructivist Logicism. In Randall E. Auxier & Lewis Edwin Hahn (eds.), The Philosophy of Michael Dummett. Open Court. 753--85.
    Self‐evidently the standard work on the topic its whole title defines, Sir Michael Dummett’s Frege: Philosophy of Mathematics (FPM) is also the most profound and creative discussion in recent decades of the problems confronting the branch of philosophy mentioned after the colon. Chapters 14‐18 and 23‐24 of this book constitute a continuous and challenging diagnosis of these problems.1 They culminate in the proposal that these problems present an impasse that can be escaped only by adopting a constructivist understanding of mathematical (...)
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  9. Peter M. Sullivan (2007). How Did Frege Fall Into the Contradiction? Ratio 20 (1):91–107.
    Quine made it conventional to portray the contradiction that destroyed Frege’s logicism as some kind of act of God, a thunderbolt that descended from a clear blue sky. This portrayal suited the moral Quine was antecedently inclined to draw, that intuition is bankrupt, and that reliance on it must therefore be replaced by a pragmatic methodology. But the portrayal is grossly misleading, and Quine’s moral simply false. In the person of others – Cantor, Dedekind, and Zermelo – intuition was working (...)
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  10. Peter M. Sullivan, Syntehsizing Without Concepts.
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  11. Michael Potter & Peter Sullivan (2005). What Is Wrong with Abstraction? Philosophia Mathematica 13 (2):187-193.
    We correct a misunderstanding by Hale and Wright of an objection we raised earlier to their abstractionist programme for rehabilitating logicism in the foundations of mathematics.
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  12. Peter Sullivan (2005). What is Wrong with Abstraction? Philosophia Mathematica 13 (2):187--93.
    We correct a misunderstanding by Hale and Wright of an objection we raised earlier to their abstractionist programme for rehabilitating logicism in the foundations of mathematics.
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  13. Peter M. Sullivan (2005). Identity Theories of Truth and the Tractatus. Philosophical Investigations 28 (1):43–62.
    The paper is concerned with the idea that the world is the totality of facts, not of things – with what is involved in thinking of the world in that way, and why one might do so. It approaches this issue through a comparison between Wittgenstein’s Tractatus and the identity theory of truth proposed by Hornsby and McDowell.The paper’s positive conclusion is that there is a genuine affinity between these two. A negative contention is that the modern identity theory (...)
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  14. Peter M. Sullivan (2005). What is Squiggle? Ramsey on Wittgenstein's Theory of Judgement. In Hallvard Lillehammer & D. H. Mellor (eds.), Ramsey's Legacy. Oxford University Press. 53--71.
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  15. Peter M. Sullivan (2004). Frege's Logic. In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. 3--659.
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  16. Peter M. Sullivan (2004). ‘The General Propositional Form is a Variable’ (Tractatus 4.53). Mind 113 (449):43-56.
    Wittgenstein presents in the Tractatus a variable purporting to capture the general form of proposition. One understanding of what Wittgenstein is doing there, an understanding in line with the ‘new’ reading of his work championed by Diamond, Conant and others, sees it as a deflationary or even an implosive move—a move by which a concept sometimes put by philosophers to distinctively metaphysical use is replaced, in a perspicuous notation, by an innocent device of generalization, thereby dispersing the clouds of (...)
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  17. Peter M. Sullivan (2004). What is the Tractatus About? In Max Kölbel & Bernhard Weiss (eds.), Wittgenstein's Lasting Significance. Routledge.
     
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  18. Peter Sullivan (2003). Ineffability and Nonsense. Aristotelian Society Supplementary Volume 77 (1):195–223.
    [A. W. Moore] There are criteria of ineffability whereby, even if the concept of ineffability can never serve to modify truth, it can sometimes (non-trivially) serve to modify other things, specifically understanding. This allows for a reappraisal of the dispute between those who adopt a traditional reading of Wittgenstein's Tractatus and those who adopt the new reading recently championed by Diamond, Conant, and others. By maintaining that what the nonsense in the Tractatus is supposed to convey is ineffable understanding, rather (...)
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  19. Peter M. Sullivan (2003). A Note on Incompleteness and Heterologicality. Analysis 63 (277):32–38.
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  20. Peter M. Sullivan (2003). Simplicity and Analysis in Early Wittgenstein. European Journal of Philosophy 11 (1):72–88.
    But logic as it stands, e.g. in Principia Mathematica, can quite well be applied to our ordinary propositions; e.g. from ‘All men are mortal’ and ‘Socrates is a man’ there follows according to this logic ‘Socrates is mortal’, which is obviously correct, even though I equally obviously do not know what structure is possessed by the thing Socrates or the property of mortality. Here they just function as simple objects.
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  21. Peter M. Sullivan (2002). On Trying to Be Resolute: A Response to Kremer on the Tractatus. European Journal of Philosophy 10 (1):43–78.
    A way of reading the Tractatus has been proposed which, according to its advocates, is importantly novel and essentially distinct from anything to be found in the work of such previously influential students of the book as Anscombe, Stenius, Hacker or Pears. The point of difference is differently described, but the currently most used description seems to be Goldfarb’s term ‘resolution’ – hence one speaks of ‘the (or a) resolute reading’. I’ll shortly ask what resolution is. For now, it (...)
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  22. Peter M. Sullivan (2000). Frege. Philosophical Review 109 (4):648-652.
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  23. Peter M. Sullivan (2000). The Totality of Facts. Proceedings of the Aristotelian Society 100 (2):175–192.
    Wittgenstein, in the Tractatus, conceives the world as ‘the totality of facts’. Type-stratification threatens that conception : the totality of facts is an obvious example of an illegitimate totality. Wittgenstein’s notion of truthoperation evidently has some role to play in avoiding that threat, allowing propositions, and so facts, to constitute a single type. The paper seeks to explain that role in a way that integrates the ‘philosophical’ and ‘technical’ pressures on the notion of an operation.
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  24. Johannes L. Brandl & Peter M. Sullivan (1998). Preface. Grazer Philosophische Studien 55:1-2.
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  25. Johannes Brandl & Peter M. Sullivan (eds.) (1998). New Essays on the Philosophy of Michael Dummett. Rodopi.
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  26. Peter M. Sullivan (1998). The "Modal Extension Principle": A Question About Peacocke's Approach to Modality. Mind 107 (427):653-660.
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  27. Peter Sullivan & Michael Potter (1997). Hale on Caesar. Philosophia Mathematica 5 (2):135--52.
    Crispin Wright and Bob Hale have defended the strategy of defining the natural numbers contextually against the objection which led Frege himself to reject it, namely the so-called ‘Julius Caesar problem’. To do this they have formulated principles (called sortal inclusion principles) designed to ensure that numbers are distinct from any objects, such as persons, a proper grasp of which could not be afforded by the contextual definition. We discuss whether either Hale or Wright has provided independent motivation for a (...)
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  28. Peter M. Sullivan (1996). The 'Truth' in Solipsism, and Wittgenstein's Rejection of the A Priori. European Journal of Philosophy 4 (2):195-220.
  29. Peter M. Sullivan (1996). Thinking Out Loud: An Essay on the Relation Between Thought and Language. Philosophical Books 37 (3):195-198.
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  30. Peter M. Sullivan (1995). Wittgenstein on “The Foundations of Mathematics”, June 1927. Theoria 61 (2):105-142.
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  31. Peter M. Sullivan (1994). Georg Cavallar. Mind 103 (410).
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  32. Peter M. Sullivan (1994). Problems for a Construction of Meaning and Intention. Mind 103 (410):147-168.
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  33. Peter M. Sullivan (1994). The Sense of `a Name of a Truth-Value'. Philosophical Quarterly 44 (177):476-481.
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  34. Peter M. Sullivan (1993). The Nature of All Being: A Study of Wittgenstein's Modal Atomism. Philosophical Books 34 (3):148-151.
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  35. Peter M. Sullivan (1992). Russell's Idealist Apprenticeship. Philosophical Books 33 (3):146-148.
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  36. Peter M. Sullivan (1992). The Functional Model of Sentential Complexity. Journal of Philosophical Logic 21 (1):91 - 108.
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  37. Peter Sullivan (1990). Logisch-Philosophische Abhandlung/Tractatus Logico-Philosophicus. Kritische Edition. Grazer Philosophische Studien 38:218-220.
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