Who Can Name the Bigger Number?  JUN 08 2009

Regarding the game of Who Can Name the Bigger Number?, Scott Aaronson shows that while 9^9^9^9 might cut the mustard in the first couple of rounds, the numbers and the notation used to express them get much more complicated.

Exponentials are familiar, relevant, intimately connected to the physical world and to human hopes and fears. Using the notational systems I'll discuss next, we can concisely name numbers that make exponentials picayune by comparison, that subjectively speaking exceed 9^9^9^9 as much as the latter exceeds 9.

See also the Wikipedia entry for large numbers.

Read more posts on kottke.org about:
mathematics   Scott Aaronson

this is kottke.org

   Front page
   About + contact
   Site archives

You can follow kottke.org on Twitter, Facebook, Tumblr, Feedly, or RSS.

Ad from The Deck

We Work Remotely

 

Enginehosting

Hosting provided EngineHosting