-
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
-
1667The 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.
-
University of KentRegular Faculty
University of St. Andrews
PhD, 1977