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Talk:Conceptual space

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convexity?

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This article says that conceptual spaces are inspired by prototype theory, but fails to clarify why convexity is correct. So, for example, the article on prototype theory has a long quote from Wiggenstein, on "games", which appears to very explicitly state that the concept of "games" is very clearly not "convex". This is a sharp statement that demolishes the idea of convexity; so why is it promoted as being central here? Why should we take the notion of convexity as being important, given Wittgenstein's withering critique of it? 162.204.250.21 (talk) 19:05, 15 August 2017 (UTC)[reply]