> On Monday, July 7, 2014 11:02:44 PM UTC-4, Ben Bacarisse wrote: >> >> As you've seen already, WM has decided to duck this question, maybe >> because it directly contradicts what he's written elsewhere. For >> example, in his book he shows explicit examples of surjections and >> bijections between N and N, Q and Q and others. A specific example: he >> says that f(x) = 1 when x = 1 and x-1 otherwise is surjective. An >> explanation of why this is so but f(x) = x is not would be quite >> something, but I suspect he'll just spark off a dozen new threads about >> something else. >> > > Oh, right, his proud best seller. Maybe he doesn't actually believe > anything in his book -- he thinks of it as a proof that he is an > expert enough to make comments about the standard mathematics. > > Btw, I actually don't need his explanation anymore, because I > understand it (no thanks to WM):
I've found that, eventually, it is easy to understand him. There's a lot of obfuscation and hand-waving and redefining of terms, but the mistakes become depressingly clear after a while.
I see that my predication is correct. New threads appear like the hydra but there will be no explanation of why his f is surjective and your identity function is not.
<snipped: explanation of WM's dual thinking> -- Ben.