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There are two ways interpreters have tended to understand the nature of the laws of Kant’s pure general logic. On the first, these laws are unconditional norms for how we ought to think, and will govern anything that counts as thinking. On the second, these laws are formal criteria for being a thought, and violating them makes a putative thought not a thought. These traditions are in tension, in so far as the first depends on the possibility of thoughts that (...) |
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Many commentators now view Quine's ‘Truth by Convention’ as a flawed criticism of Carnap. Gary Ebbs argued recently that Quine never intended Carnap as his target. Quine's criticisms were part of his attempt to work out his own scientific naturalism. I agree that Carnap was not Quine's target but object that Quine's criticisms were wholly internal to his own philosophy. Instead, I argue that C.I. Lewis held the kind of truth‐by‐convention thesis that Quine rejects. This, however, leaves Carnap out of (...) |
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This is a review of A. Skodo (ed.) "Other Logics: Alternatives to Formal Logic in the History of Thought and Contemporary Philosophy". |
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A prized property of theories of all kinds is that of generality, of applicability or least relevance to a wide range of circumstances and situations. The purpose of this article is to present a pair of distinctions that suggest that three kinds of generality are to be found in mathematics and logics, not only at some particular period but especially in developments that take place over time: ‘omnipresent’ and ‘multipresent’ theories, and ‘ubiquitous’ notions that form dependent parts, or moments, of (...) |
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The Löwenheim-Hilbert-Bernays theorem states that, for an arithmetical first-order language L, if S is a satisfiable schema, then substitution of open sentences of L for the predicate letters of S... |
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This paper briefly discusses the relations between logic and metalogic in history. Metalogic is understood as a reflection on logic in its various senses, particularly sensu stricto (formal, mathematical) and sensu largo (formal logic plus semantic plus methodology of science). It is shown that metalogic in its contemporary understanding arose after mathematical logic had become a mature discipline. Special passage is devoted to metalogic in Poland. The last part of the paper discussed so-called logocentric predicament. |
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