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2Toward the World and Wisdom of Wittgenstein’s ‘Tractatus’Philosophical Quarterly 25 (98): 84-85. 1975.
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15Letters to Russell, Keynes and Moore.Philosophical GrammarPhilosophical Quarterly 25 (100): 279. 1975.
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51III A Unified Solution to Some ParadoxesProceedings of the Aristotelian Society 100 (n/a): 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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71Spandrels of Truth * By JC BEALLAnalysis 70 (3): 586-589. 2010.(No abstract is available for this citation)
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The Barber, Russell's Paradox, Catch-22, God, Contradiction, and MoreIn Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays, Clarendon Press. 2006.
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3Gardner-Inspired Design of Teaching MaterialsDiscourse: Learning and Teaching in Philosophical and Religious Studies 10 (1): 173-202. 2010.
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12The Philosophy of Wilfrid Sellars: Queries and ExtensionsPhilosophical Quarterly 30 (119): 153-155. 1980.
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11The Imagination as Glory: The Poetry of James DickeyJournal of Aesthetic Education 22 (2): 118. 1988.
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13The general aim of this project is to fundamentally re-think the design of teaching materials in view of what is now known about cognitive deficits and about what Howard Gardner has termed ‘multiple intelligences’. The applicant has implemented this strategy in two distinct areas, the first involving the writing of an English language programme for Chinese speakers, the second involving the construction of specialized equipment for teaching elementary logic to blind students. The next phase is t…Read more
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180A consistent way with paradoxPhilosophical Studies 144 (3). 2009.Consideration of a paradox originally discovered by John Buridan provides a springboard for a general solution to paradoxes within the Liar family. The solution rests on a philosophical defence of truth-value-gaps and is consistent (non-dialetheist), avoids ‘revenge’ problems, imports no ad hoc assumptions, is not applicable to only a proper subset of the semantic paradoxes and implies no restriction of the expressive capacities of language.
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34To 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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13III-A Unified Solution to Some ParadoxesProceedings of the Aristotelian Society 100 (1): 53-74. 2000.
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10Humor and HarmSorites 3 27-42. 1995.For familiar reasons, stereotyping is believed to be irresponsible and offensive. Yet the use of stereotypes in humor is widespread. Particularly offensive are thought to be sexual and racial stereotypes, yet it is just these that figure particularly prominently in jokes. In certain circumstances it is unquestionably wrong to make jokes that employ such stereotypes. Some writers have made the much stronger claim that in all circumstances it is wrong to find such jokes funny; in other words that …Read more
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23Wittgenstein's Lectures on the Foundations of MathematicsPhilosophical Quarterly 27 (109): 370. 1977.
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12Review of béla Szabados, Ludwig Wittgenstein on Race, Gender and Cultural Identity (review)Notre Dame Philosophical Reviews 2010 (8). 2010.
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11Brevity (edited book)Oxford University Press. 2013.Brevity in conversation is a window to the workings of the mind. It is both a multifaceted topic of deep philosophical importance and a phenomenon that serves as a testing ground for theories in linguistics, psycholinguistics and computer modeling. Speakers use elliptical constructions and exploit salient features of the conversational environment, a process of pragmatic enrichment, so as to pack a great deal into a few words. They also tailor their words to theirparticular conversational partne…Read more
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Pasquale Frascolla, Wittgenstein's Philosophy of MathematicsPhilosophical Investigations 19 337-341. 1996.
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University of KentRegular Faculty
University of St. Andrews
PhD, 1977