Talk:Conceptual space

convexity?

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)