15 Mar
2008
15 Mar
'08
8:49 p.m.
On Sat, Mar 15, 2008 at 3:12 PM, Dan Asimov <dasimov@earthlink.net> wrote:
In particular, there exists a strategy which, for an arbitrary function f from the reals into some set,
Maybe it only works for f : R -> {0} or some other one element set? I can do pretty well predicting that function's future. I would be surprised by not find it ludicrous if the image set had two elements. If the image set is the reals, it does indeed seem ludicrous. Maybe there's something in there about "describable functions" so there's only countably many functions possible? (E.g. functions that can be described with at most so many words, or functions containing finitely much information for some suitable definition of information). --Joshua Zucker