On 14 January 2014 11:40, Stephen Paul King <stephe...@provensecure.com>wrote:
> A set whose proper subsets are isomorphic to the set. > Very nice definition, I knew that one (honest!) having read a book by Rudy Rucker on the subject, but had forgotten it. This is the property nicely illustrated by Hilbert's hotel. One can define infinity in various ways if one assumes arithmetical realism. One can only define it constructively if one assumes that arithmetic is a human invention (but then one has to explain the "unreasonable effectiveness" of maths). The debate continues...although I must admit I thought you were on the "constructivist" side, Mr K!? -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
