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The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite the arguments (...) |
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Aristotle draws what are, by our lights, two unusual relationships between predication and existence. First, true universal affirmations carry existential import. If ‘All humans are mortal’ is true, for example, then at least one human exists. And secondly, although affirmations with empty terms in subject position are all false, empty negations are all true: if ‘Socrates’ lacks a referent, then both ‘Socrates is well’ and ‘Socrates is ill’ are false but both ‘Socrates is not well’ and ‘Socrates is not ill’ (...) |
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Two main claims are defended. The first is that negative categorical statements are not to be accorded existential import insofar as they figure in the square of opposition. Against Kneale and others, it is argued that Aristotle formulates his o statements, for example, precisely to avoid existential commitment. This frees Aristotle's square from a recent charge of inconsistency. The second claim is that the logic proper provides much thinner evidence than has been supposed for what appears to be the received (...) |
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In this article, I discuss Robert Kilwardby’s theory of judgement and consider its implications for his view of truth and falsity. I start by considering Kilwardby’s claim that truth and falsity are primarily found in composite thought, i.e. judgement. I then examine his distinction between two different kinds of being, namely real and conceptual, arguing that different kinds of true judgement, according to Kilwardby, have different kinds of existential import, either real or merely conceptual. Since Kilwardby develops his position by (...) |
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In this article, I discuss Robert Kilwardby’s theory of judgement and consider its implications for his view of truth and falsity. I start by considering Kilwardby’s claim that truth and falsity are primarily found in composite thought, i.e. judgement. I then examine his distinction between two different kinds of being, namely real and conceptual, arguing that different kinds of true judgement, according to Kilwardby, have different kinds of existential import, either real or merely conceptual. Since Kilwardby develops his position by (...) |
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There have been and continue to be disagreements about how to consider the traditional square of opposition and the traditional inferences of obversion, conversion, contraposition and inversion from the perspective of contemporary quantificational logic. Philosophers have made many different attempts to save traditional inferences that are invalid when they involve empty classes. I survey some of these attempts and argue that the only satisfactory way of saving all the traditional inferences is to make the existential assumption that both the subject (...) |
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