Trying to picture infinity

[fritz_269]

IanMalcom - you should read some Robert Anton Wilson. I think you'd like his reality constructs. Something like "Prometheus Rising":
http://shop.barnesandnoble.com/books...sbn=1561840564

Have fun! :smoker2:

[Jay!]

Originally posted by fritz_269
It turns out that you can keep constructing larger and larger cardinalities of infinities, the next would be aleph two, then aleph three, etc. Here's the kicker - according to Cantor's continuum hypothesis, there are aleph one number of possible alephs. This has never been proven, but is generally accepted as it seems to work well -- there are an uncountable infinite number of sizes of infinity!

So that means one can speak of Ü(1.5)?

And Ü(2) is what? Imaginary numbers? Like Ü(sqrt(-2))? LOL!!!

edit: my alephs got messed up by the character set.

[fritz_269]

Originally posted by jay@af
So that means one can speak of Ü(1.5)?

Well, people generally don't use that terminology, but I see where you got that, and yes - there is a one-to-one mapping between the real numbers (aleph one) and the number of infinities (aleph one). In fact, that is presicely the test applied to see if one infinity is equal to another: Is there a way to make a one-to-one mapping?

And Ü(2) is what? Imaginary numbers?

Nope, there are exactly the same number of imaginaries than of reals, thus it's aleph one (one-to-one mapping). An example of aleph two is the total number of possible mathematical curves you could draw. Proving that is a little tricky, and AFAIK, there are no simple (or maybe even complex) examples of aleph three and higher. Infinity gets pretty big around there!

And BTW, I made a mistake, aleph is not the Greek letter "A", but the Hebrew letter "A". And aleph naught is also often called aleph null.

Cheers! :smoker2:

[1989 DX R]

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[Jay!]

Originally posted by fritz_269
An example of aleph two is the total number of possible mathematical curves you could draw. Proving that is a little tricky, and AFAIK, there are no simple (or maybe even complex) examples of aleph three and higher. Infinity gets pretty big around there!

So aleph three would be the total number of all the 3D planes you could plot?

Geez! Good stuff!!

[fritz_269]

Originally posted by jay@af
So aleph three would be the total number of all the 3D planes you could plot?

Nope, that would be aleph one.

Aleph two is the number of n-dimensional curves you could plot. Where n is infinite (aleph one).

There are no known simple examples of aleph three.

[1989 DX R]

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[Moppie]

Originally posted by 1989 DX R
See my post above.

Try getting a life.

If you dont want to understand it, and have issues and insecurities about your own mental ablities then go else where, we dont need you making BS posts in here.

[SickLude]

actually, what always boggles my mind is the concept of "what comes next". i fully believe in life after death. hell, Heaven, the whole bit. but trying to picture "burning for all eternity" or "living in Heaven for the rest of eternity" is very very hard to comprehend.

[1989 DX R]

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[fritz_269]

Originally posted by 1989 DX R
I know my calculus and physics well enough to not care about infinity.

It's obvious you don't.
The concept of infinity is absolutely fundamental to newtonian calculus and physics. Why do you think they teach you about limit theory in chapter ONE of every calc textbook? For that matter, why would there be an infinity symbol in the fundamental theorem of calculus?

Shouting "WHO CARES" with a huge annoying picture is rude and disrespectful. Some of us are trying to have an intelligent conversation about things that actually do have meaning and worth; whether you care about it or not.

Don't think you know any of us either. We have a fine sense of humor. You're just not funny.

[1989 DX R]

DUH! I just give up. It seems this post is going to infinity...


Sorry about my shittiness, just that finals are gettin to my brain, and warping it at a tremendous rate. I just had enough antiderivatives today to make one's brain ooze out their ears. Just for that, i think i will withdraw my splendid picture from this post. Sorry guys for being an ass.

[fritz_269]

No hard feelings. Sorry I went off... But thanks for taking the picture down.

About 10 minutes after I shut down the computer I realized I actually even got it wrong, the fundametal theorem of calculus has no infinity symbol in it. I was thinking of the definition of the definite integral (the infinite limit of the Reimann sum). Whoops.

Good luck on your finals.

[1989 DX R]

Yeah, today we were doing limits, and boy did i see our friend infinity alot. The little bastard kept poppin up all over the place.

[Jay!]

Originally posted by 1989 DX R
The little bastard kept poppin up all over the place.

LOL! You called infinity "little!" :silly2:

I believe I have failed to "picture infinity."