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97Strengthened paradoxesAustralasian Journal of Philosophy 58 (3). 1980.This Article does not have an abstract
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111Wittgenstein's Lectures on the Foundations of MathematicsPhilosophical Quarterly 27 (109): 370. 1977.
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1A Problem For The DialetheistBulletin of the Section of Logic 15 (1): 10-13. 1986.There has recently been revived logical interest, particularly in the context of attempts to solve the logico-semantical paradoxes, of the idea that there are true contracistions, and of semantics accomodating the glut value both true and false. By considering some generally accepted claims about assertion. I attempt to show that this dialetheist idea is untenable
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99Paradoxes: Their roots, range and resolutionAustralasian Journal of Philosophy 82 (4). 2004.Book Information Paradoxes: Their Roots, Range and Resolution. Paradoxes: Their Roots, Range and Resolution Nicholas Rescher , Chicago and La Salle : Open Court , 2001 , xxiii + 293 , US$24.95 ( paper ). By Nicholas Rescher. Open Court. Chicago and La Salle. Pp. xxiii + 293. US$24.95 (paper:).
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157III-A Unified Solution to Some ParadoxesProceedings of the Aristotelian Society 100 (1): 53-74. 2000.The Russell class does not exist because the conditions purporting to specify that class are contradictory, and hence fail to specify any class. Equally, the conditions purporting to specify the Liar statement are contradictory and hence, although the Liar sentence is grammatically in order, it fails to yield a statement. Thus the common source of these and related paradoxes is contradictory (or tautologous) specifying conditions-for such conditions fail to specify. This is the diagnosis. The cu…Read more
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1649The Barber, Russell's Paradox, Catch-22, God, Contradiction, and MoreIn Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays, Oxford University Press. pp. 295--313. 2004.outrageous remarks about contradictions. Perhaps the most striking remark he makes is that they are not false. This claim first appears in his early notebooks (Wittgenstein 1960, p.108). In the Tractatus, Wittgenstein argued that contradictions (like tautologies) are not statements (Sätze) and hence are not false (or true). This is a consequence of his theory that genuine statements are pictures.
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Clear and Queer Thinking: Wittgenstein's Development and His Relevance to Modern ThoughtMind 110 (437): 207-211. 2001.
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80A Buridanian discussion of desire, murder and democracyAustralasian Journal of Philosophy 70 (4). 1992.This Article does not have an abstract
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Pasquale Frascolla, Wittgenstein's Philosophy of MathematicsPhilosophical Investigations 19 337-341. 1996.
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60To Let: Unsuccessful Stipulation, Bad Proof, and ParadoxAmerican Philosophical Quarterly 50 (1): 93. 2013.Letting is a common practice in mathematics. For example, we let x be the sum of the first n integers and, after a short proof, conclude that x = n(n+1)/2; we let J be the point where the bisectors of two of the angles of a triangle intersect and prove that this coincides with H, the point at which another pair of bisectors of the angles of that triangle intersect. Karl Weierstrass's colleagues, in an attempt to solve optimization problems, stipulated that the minimum area for a triangle with a …Read more
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269How original a work is the tractatus logico-philosophicus?Philosophy 77 (3): 421-446. 2002.Wittgenstein's Tractatus is widely regarded as a masterpiece, a brilliant, if flawed attempt to achieve an ‘unassailable and definitive … final solution’ to a wide range of philosophical problems. Yet, in a 1931 notebook, Wittgenstein confesses: ‘I think there is some truth in my idea that I am really only reproductive in my thinking. I think I have never invented a line of thinking but that it was always provided for me by someone else’. This disarming self-assessment is, I believe accurate. Th…Read more
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90Scientific scotism - the emperor's new trousers or has Armstrong made some real strides?Australasian Journal of Philosophy 61 (1). 1983.(1983). Scientific scotism — The emperor's new trousers or has armstrong made some real strides? Australasian Journal of Philosophy: Vol. 61, No. 1, pp. 40-57
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49Wittgenstein’s Most Important Contribution to the Philosophy of LogicIn Danièle Moyal-Sharrock, Volker Munz & Annalisa Coliva (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium, De Gruyter. pp. 3-20. 2015.
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77Translating Utterances, Reporting BeliefsThe Reasoner 2 (3): 3-4. 2008.Responds to Constaninescu on the Non-Substitutivity and suggests a better approach built on consideration of the way in which beliefs are (usually concisely) reported.
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University of KentRegular Faculty
University of St. Andrews
PhD, 1977