Sympathetic Vibratory Physics - It's a Musical Universe!
 
 SVP Notes
 
  SVP Notes Index

Specula

Text: "An odd little axiom about the 'axiom of choice'". A remarkable consequence of the axiom of choice. One can cut a ball into a finite number of pieces and rearrange the pieces to get two balls, each the same size as the original ball. See: Jech, Thomas J. The Axiom of Choice. New York: American Elsevier Publishing Company, Inc., 1973, p. 1-6 for the proof. Specula. 3(3), July-Sept. 1980. p. 18.

See Also: foundations of mathematics, axiom of choice.

Source:

Top of Page | Master Index | Home | What's New | FAQ | Catalog