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This book argues against the view that mathematical knowledge is a priori,contending that mathematics is an empirical science and develops historically,just as ... |
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We cannot imagine two straight lines intersecting at two points even though they may do so. In this case our abilities to imagine depend upon our abilities to visualise. |
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From the mid-1960s, after the important works by J. Hintikka, S. Körner, W. Sellars and P.F. Strawson, there has been a marked revival of Kantian epistemological thought. Against this background, featuring fruitful exchange between historical research and theoretical prospects, the main point of the book is the discussion of Kantian theory of scientific knowledge from the perspective of present-day analytical philosophy and philosophy of empirical and mathematical sciences. The main topics are the problem of a priori knowledge in logic, mathematics (...) |
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In this innovative study Patricia Kitcher argues that we can only understand the deduction of the categories in Kant's Critique of Pure Reason in terms of his attempt to fathom the psychological prerequisites of thought. Thus a consideration of his conception of psychology is essential to an understanding of his philosophy. Kitcher specifically considers Kant's claims about the unity of the thinking self; the spatial forms of human perceptions; the relations among mental states necessary for them to have content; the (...) |
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This paper attempts to understand kant's obscure remarks that certain parts of natural science are a priori or have something akin to an a priori status. i argue that kant does not claim that propositions of physics are fully a priori, that the notion of a proposition's being a priori "given an empirical concept" can be explicated, that kant's attempted defense of the status of parts of dynamics is deeply flawed because of his commitments about a priority, but that his (...) |
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T HE heart of Kant's views on the nature of mathematics is his thesis that the judgments of pure mathematics are synthetic a priori. Kant usually offers this as one thesis, but it is fruitful to regard it as consisting of two separate claims, a meta- physical subthesis and an epistemological .. |
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