Saturday, October 2, 2010

Sets are functions

Sets are functions of type a -> Boolean. Stating that sets are well-defined is equivalent to stating that their function terminates.

2 comments:

  1. So wrong. EVERYTHING is of type a -> Boolean. Even functions. Since this is a universal property and universal properties are meaningless, this is meaningless.

    ReplyDelete
  2. Math is about the creation of universal properties using other universal properties; I wouldn't call it meaningless.

    ReplyDelete