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The term ‘continuous’ in real analysis wasn’t given an adequate formal definition until 1817. However, important theorems about continuity were proven long before that. How was this possible? In this paper, I introduce and refine a proposed answer to this question, derived from the work of Frank Jackson, David Lewis and other proponents of the ‘Canberra plan’. In brief, the proposal is that before...
In this paper, I reconstruct Quineʼs arguments against quantified modal logic, from the early 1940ʼs to the early 1960ʼs. Quineʼs concerns were not technical. Quine was looking for a coherent interpretation of quantified-in English modal sentences. I argue that Quineʼs main thesis is that the intended objectual interpretation of the quantifiers is incompatible with any semantic reading of the modal...
This paper investigates the relation between Carnap and Quine’s views on analyticity on the one hand, and their views on philosophical analysis or explication on the other. I argue that the stance each takes on what constitutes a successful explication largely dictates the view they take on analyticity. I show that although acknowledged by neither party (in fact Quine frequently expressed his agreement...
It is often assumed that there is a close connection between Quine’s criticism of the analytic/synthetic distinction, in ‘Two dogmas of empiricism’ and onwards, and his thesis of the indeterminacy of translation, in Word and Object and onwards. Often, the claim that the distinction is unsound (in some way or other) is taken to follow from the indeterminacy thesis, and sometimes the indeterminacy thesis...
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