Joseph Spinden wrote at 04/17/2013 07:21 PM: > Owen is right that there are N! ways to map a set of N objects 1-1, onto > another set of N objects. The first object can go to 1 of N objects, the > next to 1 of N-1, etc. That's pretty standard.
Well, saying there are N! maps is different from saying there are N! ways to map. While there may only be N! potential maps, there are many many more ways to demonstrate or realize those maps. The difference lies in the methods, something that is often left out of math presentations. This is one area where I think computation helps boost the intuitionist or constructivist sense of math, as well as the incremental/iterative conception of sets. -- =><= glen e. p. ropella Or at least come to a show ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
