Hey, my first job was bagging groceries and bringing in the carts [trollies] to the corrals. It kinda sucked because it's so damn hot in AZ but it was a good workout and we got a lot of independence.

Cantor's argument tl;dr:

It's a proof by contradiction by showing that the set of of all real numbers {R} is not countable. Proof by contradiction is done by assuming the opposite and showing it couldn't be true. Because {R} is therefore uncountable, it must be larger than any countable set. There are different sizes of infinite sets, but any infinite set is larger [has a larger cardinality, to use the correct term] than any countable set. The set of all natural numbers has cardinality aleph-null (along with any other countable set).

So knowing this, Cantor set up his proof by making a hypothetical set of this form:


{.d11d12d12...,.d21d22d33...,...,.dn1, dn2,...}, Except he made it a chart like this:

 __n______|__number__
       1          |       .d11d12...
       2          |       .d21d22d23...
       3          |       .d31d32d33d34...

On the left is the order of the set that the number on the left is in. Left is natural and countable. Right is real and uncountable. You make the contradiction by trying to show that the numbers in this list have a one-to-one correspondence with real numbers (as that would show they have the same cardinality). Cantor found this number to be:

m = 0.(.d11+1)(d22+1)...(dnn+1)

Basically just the diagonal numbers from the previous list in a set, increased by 1. If they were of the same cardinality you'd be able to find m inside the previous set, but you can't. This might sound stupid, because obviously you could just add 1 to the old set like we did to the subset of diagonals, but doing so would just create a new set of diagonals and the contradiction remains true.

Set theory isn't really my forte despite being one of my favorite subjects. Mr. Sexy has a good summary, too.

This is awesome:

It looks like a low budget SyFy series shoehorned into the Halo universe.

I would immediately post in all political and religious threads in Serious, and I'd troll the crap out of certain users in the Flood, because I guess that's what moderators are supposed to do on Sept.

I don't think being famous automatically validates one's opinion, but if someone's speaking truth their profession is irrelevant.

So the Reps just won a sizable victory in the election. We know they're all righteous, God-fearing men, and we also know that Barack 'Beelzebub' Obama is ushering in the End of Days. I don't think it's too much of a stretch of the imagination to predict that the rapture will happen sometime in the next year, and with the majority of the government gone, how will it function?

Do you think America will be able to retain its democracy when its thrown into the lake of fire?

Snippity snip

/sep7agon

Quote from: E̲n̲ga̲ge̲d̲T̲u̲r̲k̲e̲y on November 05, 2014, 02:16:51 PM

Quote from: Meta Cognition on November 05, 2014, 01:18:58 PM

Quote from: Kinder on November 05, 2014, 01:13:39 PM

Most likely, she supports CommonCrap which is total opposite of improving education

Common Core is fine so long as the localities can perform the implementation themselves. Although, I certainly think the education system as a whole needs to be overhauled, having minimum requirements isn't a step in the wrong direction.

Do you mean minimum standards (for scores), or minimum requirements for subject material? Minimum standards promote mediocrity.

Requirements for subject material.

Oh. Yeah, that's a good idea. I'd prefer to see required material be applicable to real life and/or future degrees. The fact that Physical Education/Gym is a requirement to graduate is nonsense, in my opinion. I know that's a nearly insignificant example, but you get the gist.

Quote from: Nick McIntyre on November 04, 2014, 09:10:42 PM

Quote from: JimTheAdmin on November 04, 2014, 09:10:05 PM

I still want a House of M movie or at least something more than a reference to Genosha. Anything involving the Scarlet Witch or Wolverine and you have my money.

Scarlet Witch is in Age of Ultron.

Sauce? I saw her and Quicksilver in the sting at the end of Days of Future Past, I think it was, but I haven't researched it any. I remember when Civil War was considered to be a hoax of a movie plan by most of the community. Now it's reality. I bet it's gonna suck, though.

She's in the trailer for Age of Ultron.

>mfw my fiancee says she'd like kids in two years

Speaking of which, I still want a Deadpool movie or a Marvel Zombies movie. :3

I think after they finish the Infinity War they'll have room to branch off for dumb, alt-timeline stuff. I'd love to see something like '[Punisher/other character kills the Marvel Universe'.

I quickly finished them both off.

That's awfully generous of you.

I don't see the problem with Penguin Party at all. It's an optional subforum with very few rules. You don't have to go there.

Of course I don't; the point I made is that the behavior there isn't isolated and undermines the moderation on the rest of the forum.