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- Agustín Rayo & Gabriel Uzquiano (2006). Absolute Generality. Oxford University Press.The problem of absolute generality has attracted much attention in recent philosophy. Agustin Rayo and Gabriel Uzquiano have assembled a distinguished team of contributors to write new essays on the topic. They investigate the question of whether it is possible to attain absolute generality in thought and language and the ramifications of this question in the philosophy of logic and mathematics.
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The purpose of this paper is to offer a diagnosis and a resolution to generality problem. I state the generality problem and suggest a distinction between criteria of relevance and what I call a theory of determination. The generality problem may concern either of these. While plausible criteria of relevance would be convenient for the externalist, he does not need them. I discuss various theories of determination, and argue that no existing theory of determination is plausible. This provides a case for the no determination view: there are no facts that determine relevant types. This is the diagnosis of the generality problem. The externalist, however, may embrace the no determination view. This is what provides a resolution to the generality problem.
No categories
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Years ago, when I was young and reckless, I believed that there was such a thing as an allinclusive domain.1 Now I have come to see the error of my ways. The source of my mistake was a view that might be labeled ‘Tractarianism’. Tractarians believe that language is subject to a metaphysical constraint. In order for an atomic sentence to be true, there needs to be a certain kind of correspondence between the semantic structure of the sentence and the ‘metaphysical structure of reality’. More specifically, Tractarianism is the conjunction of the following three claims.
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In conversations between native speakers, words such as ‘same’ and ‘identical’ do not usually cause much difficulty. We take it for granted that others use them with the same sense as we do. If it is unclear whether numerical or qualitative identity is intended, a brief gloss such as ‘one thing not two’ for the former or ‘exactly alike’ for the latter removes the unclarity. In this paper, numerical identity is intended. A particularly conscientious and logically aware speaker might explain what ‘identical’ means in her..
Whether or not we achieve absolute generality in philosophical inquiry, most philosophers would agree that ordinary inquiry is rarely, if ever, absolutely general. Even if the quantifiers involved in an ordinary assertion are not explicitly restricted, we generally take the assertion’s domain of discourse to be implicitly restricted by context.1 Suppose someone asserts (2) while waiting for a plane to take off.
Following an idea from Gödel and Carnap we show how we can speak with absolute generality even if we cannot quantify with absolute generality.
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