Oh, okay. Using that definition, I think it does work. I was looking at

If a property M does not belong to all values of a variable x, but does belong to all values which are less than a certain u, then there is always a quantity U which is the greatest of those of which it can be asserted that all smaller x have property M

and not getting it. Although now I look at it... I guess it does say the same thing. It was that "a variable x" that was confusing me. Thanks, guys! Now I have to attack Dedekind cuts and paradoxes. My brain really isn't up to this stuff.

Let A be the set of numbers in (3/5,2/3) that have decimal expansions containing only finitely many zeros and sixes after the decimal point and no other integer. Find the least upper bound of A. (prove your answer)

My head hurts, and I can't help but wonder what is the practical value of the question. Good luck.

Can't help you there. Dedekind cuts always made my brain hurt. Good luck!

My head hurts, and I can't help but wonder what is the practical value of the question.

Practical value? Did you miss the part where I said History of Math? Practical, shyeah! I do homework on things that were proved impossible 500 years ago!

God I'll be glad when this class is over. The homework just never gets any easier.

Mooooooooom I think they're talking math again.

Practical value? Did you miss the part where I said History of Math? Practical, shyeah! I do homework on things that were proved impossible 500 years ago!

BWAH! This one is getting passed on to DH.

I shouldn't mention how often I like to consider different approaches for trisecting the angle, huh?

Mooooooooom I think they're talking math again.

No, no! Not really! This is history, see? The people who wrote this stuff? All dead!

I shouldn't mention how often I like to consider different approaches for trisecting the angle, huh?

You're a rebel, and you'll never ever be any good.

So remember how the whole breaking-stuff-that-used-to-work in my apartment started with my computer freezing up? It just happened again. The computer freezing. It wouldn't even turn itself off by the button, I had to manually unplug it from the electricity.

I'm afraid to go home to see what else was broken through that, just for completion sake.

My Apple Cube is set up in my bedroom now. It spends most of its time sleeping. But sometimes it will just wake up in the middle of the night for no reason, flooding the room with light. Once it woke up at 3:00 a.m. and started playing the Lord of the Rings DVD that was in it....