tag:blogger.com,1999:blog-5173950.post8921193604765004349..comments2024-03-28T00:01:43.037-04:00Comments on Grim's Hall: Plato's Parmenides IX, The One IVGrimhttp://www.blogger.com/profile/07543082562999855432noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5173950.post-6549677079212357872021-03-31T22:04:13.110-04:002021-03-31T22:04:13.110-04:00And inequality implies greatness and smallness?
Y...And inequality implies greatness and smallness? <br />Yes. <br /><br />No. Consider the vectors that make up the unit circle. Two vectors may certainly be unequal, but one is not greater than the other.<br /><br />---<br />It seems as though he's missing a step in his argument about infinite numbers of parts. Perhaps he is thinking of something like points and a line segment, as you suggest, but it isn't clear. If he wants to use the notion of extension of parts, it's a simple step to the arbitrarily small segmentation that gives him the infinity he wants, but he seems more generic here. <br />If one has extension-less parts, one could combine and recombine in terms of relationships of parts to each other and themselves, and then the relationships of relationships, and climb to infinity that way--but he doesn't do that.jameshttps://www.blogger.com/profile/01792036361407527304noreply@blogger.com