What about Gabriel's Horn or the Koch Snowflake curve? They may also contradict intuition but the results are not dependent upon the axiom of choice.

On Wed, May 30, 2012 at 9:17 AM, meekerdb <meeke...@verizon.net> wrote: > On 5/30/2012 1:45 AM, Bruno Marchal wrote: > > Banach and Tarski proved an amazing theorem with the axiom of choice, but > it is not a paradox, in the sense that it contradicts nothing, and you > can't get anything from it. > > Bruno > > > It contradicts intuition. > > Brent > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To post to this group, send email to everything-list@googlegroups.com. > To unsubscribe from this group, send email to > everything-list+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/everything-list?hl=en. > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.