News:

Who uses forums anymore?

Main Menu

At least one real zero?

Started by Ender, April 10, 2008, 09:10:01 PM

Previous topic - Next topic

0 Members and 1 Guest are viewing this topic.

Ender

#15
Quote from: Nate on April 11, 2008, 05:33:56 PM
Calculus theorems are pointless, they can all be easily re derived on the spot if you don't see a solution intuitively.

An interesting thing about math is that an important theorem or principle may be obvious, but the way it changes your thinking can be profound. Take the pigeonhole principle, for example. It's ridiculously intuitive and obvious, but it can help you solve some really tough theorems or problems.

rabbit

Quote from: Ender on April 11, 2008, 06:37:37 PM
Quote from: Nate on April 11, 2008, 05:33:56 PM
Calculus theorems are pointless, they can all be easily re derived on the spot if you don't see a solution intuitively.

An interesting thing about math is that an important theorem or principle may be obvious, but the way it changes your thinking can be profound. Take the pigeonhole principle, for example. It's ridiculously intuitive and obvious, but it can help you solve some really tough theorems or problems.

IIRC Sidoh disproved the pigeon hole principle.

d&q

Some theorems are pretty cool and can be appreciated, but a theorem like Rolle's theorem is really intuitive and..bleh.
The writ of the founders must endure.

Ender

Quote from: Mr. Whiskers on April 11, 2008, 09:48:10 PM
Some theorems are pretty cool and can be appreciated, but a theorem like Rolle's theorem is really intuitive and..bleh.

The whole point was that intuitive and obvious theorems and principles often deserve a lot of appreciation. MVT is very important :P