> So long as it is not self-contradictory I can make it an axiom of a > mathematical > basis. It may not be very interesting mathematics to postulate: > > Axiom 1: There is a purple cow momentarily appearing to Anna and then > vanishing.

I fear this is not an "axiom of a mathematical basis". :) The problem with improperly-founded axioms is the same problem encountered with the naive set theory of Frege. You can't ever be certain that a set of axioms isn't self-contradictory. In fact, Frege's unstated Axiom of Unrestricted Comprehension, which roughly states "for any property P, there exists a set containing all and only the things that satisfy that property", is self-contradictory by itself. Anna --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---