 Location: Clean Jokes > Math Jokes > Equal positive integers
 Enter your E-MAIL address BELOW for JOKES by E-MAIL once a WEEK!

 Sponsored Links  Laugh Links - Funny Jokes - Funny Cartoons - Random Jokes - Fun Pages - Funny Videos- Funny Forwards - Funny Audio - Fun Downloads - Funny Links > Featured Today - What's new? - Joke of the Day - Funny Pic of Day > Other Options - Link to Us - Submit a Joke

## Equal positive integers

Theorem: All positive integers are equal.

Proof: Sufficient to show that for any two positive integers, A and B, A = B.

Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.

Proceed by induction.

If N = 1, then A and B, being positive integers, must both be 1. So A = B.

Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.

• Visit the previous joke about this topic!
• Return to the math jokes page

 Share:

 Search for Jokes by Keyword

•   Copyright © 2014 Aha! Jokes LLC. Reproduction in part or whole strictly prohibited. Use subject to terms.
[ Jokes | Corporate Center | Advertise | Contact Us ]