So... do I have this right?


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So... do I have this right?

Posted By: MrHen Date: 12/16/06 6:35 a.m.
In Response To: Re: hehe, Infinity (treellama)

: The only way the set of rational numbers could be "bigger", is if
: you could find some that you don't have enough natural numbers to assign
: to them. But you can't: if you use Cantor's ordering you have a natural
: number for every rational number you can think of.
Now I think I vaguely remember why the reals are "larger". Does this sound right?
When looking at and comparing reals and integers there is no one-to-one correspondence (bijection?) between them. Looking at the integer "1" we can say that the next number is "2". There is no such "next number" on the real line. The number after "1" is... what?
The rational number have a strict definition involving integers on integers which gives them an ordered progression. The reals have no such thing. There are an infinite number of numbers between "1" and "2" and trying to find them all would be an utter waste of time.
The key is not which "numbers" are in the set but the size of the set. I vaguely remember trying to think of it as how fast the set is growing instead of how many numbers are in the set. The infinite set of reals grows infinitely faster than the infinite set of integers. The latter grows at the same speed as the rationals.
Does that sound right?

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Pre-2004 Posts

Replies:

The Garden of Forking Paths Document 11/29/06 8:50 p.m.

Re: The Garden of Forking Paths Forrest of B.org 11/29/06 10:11 p.m.

*sniff* Duality *sniff *NM* treellama 11/30/06 2:51 a.m.

That's not fair. RyokoTK 11/30/06 5:26 a.m.

Re: That's not fair. McNutcase 11/30/06 5:40 a.m.

Re: That's not fair. RyokoTK 11/30/06 8:51 a.m.

Re: That's not fair. McNutcase 11/30/06 9:25 a.m.

Re: That's not fair. RyokoTK 11/30/06 9:59 a.m.

Re: That's not fair. D-M.A. 11/30/06 10:05 a.m.

Re: That's not fair. RyokoTK 11/30/06 10:22 a.m.

Ahaa, I see what you mean now, point taken. *NM* D-M.A. 11/30/06 10:33 a.m.

define "well" MrHen 11/30/06 10:24 a.m.

Re: define "well" RyokoTK 11/30/06 11:31 a.m.

Re: define "well" Aaron Sikes 11/30/06 12:19 p.m.

Re: define "well" Forrest of B.org 11/30/06 1:26 p.m.

Re: define "well" Aaron Sikes 12/1/06 6:01 a.m.

Mmm... House of Leaves MrHen 11/30/06 8:00 a.m.

Re: The Garden of Forking Paths Vid Boi 11/30/06 8:13 a.m.

Re: The Garden of Forking Paths sdwoodchuck 11/30/06 12:39 p.m.

So, what was your conclusion? *NM* Frungi 11/30/06 3:57 p.m.

Re: So, what was your conclusion? sdwoodchuck 11/30/06 6:18 p.m.

in your theory, the dreams... MrHen 12/1/06 4:44 a.m.

Re: in your theory, the dreams... thermoplyae 12/1/06 6:42 a.m.

Re: So, what was your conclusion? Frungi 12/4/06 6:31 p.m.

Re: So, what was your conclusion? Forrest of B.org 12/4/06 9:07 p.m.

Time Travel and the Psychology of Gods Forrest of B.org 12/4/06 9:25 p.m.

Re: Time Travel and the Psychology of Gods Frungi 12/5/06 8:46 a.m.

Re: Time Travel and the Psychology of Gods Forrest of B.org 12/5/06 4:29 p.m.

heck, I would buy 'em MrHen 12/5/06 6:39 p.m.

Philosophy anyone? Icarus 12/6/06 8:29 a.m.

Re: Philosophy anyone? Forrest of B.org 12/6/06 10:46 a.m.

Re: The Garden of Forking Paths *LINK* Hamish Sinclair 12/2/06 5:06 a.m.

Re: The Garden of Forking Paths Document 12/2/06 6:17 p.m.

Re: The Garden of Forking Paths Document 12/4/06 7:03 p.m.

Official Bungie Canon? Shoeless 12/7/06 7:00 a.m.

Re: Official Bungie Canon? Bob-B-Q 12/7/06 10:14 a.m.

Define "all" MrHen 12/7/06 10:20 a.m.

Re: Define "all" Document 12/7/06 4:20 p.m.

Re: Define "all" Document 12/7/06 4:21 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/11/06 10:28 a.m.

Re: Official Bungie Canon? Shoeless 12/11/06 12:00 p.m.

Re: Official Bungie Canon? Forrest of B.org 12/11/06 12:03 p.m.

Re: Official Bungie Canon? MrHen 12/11/06 1:45 p.m.

Re: Official Bungie Canon? *LINK* Frungi 12/11/06 3:22 p.m.

uh, thanks... MrHen 12/11/06 6:01 p.m.

Re: Official Bungie Canon? Forrest of B.org 12/11/06 9:44 p.m.

I like being confused... MrHen 12/12/06 5:13 a.m.

Re: I like being confused... Forrest of B.org 12/12/06 3:53 p.m.

Re: I like being confused... Frungi 12/12/06 5:51 p.m.

Re: I like being confused... Forrest of B.org 12/12/06 9:42 p.m.

timelines and their glory MrHen 12/13/06 5:14 a.m.

Re: timelines and their glory Forrest of B.org 12/13/06 8:05 a.m.

Mmm... trippy... MrHen 12/13/06 8:20 a.m.

Re: timelines and their glory Frungi 12/13/06 1:43 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/12/06 12:37 p.m.

Re: Official Bungie Canon? Forrest of B.org 12/12/06 4:02 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/12/06 4:43 p.m.

Re: Official Bungie Canon? Forrest of B.org 12/12/06 9:52 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/13/06 4:17 p.m.

Re: Official Bungie Canon? Forrest of B.org 12/13/06 6:06 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/16/06 5:42 p.m.

what? why? MrHen 12/16/06 5:47 p.m.

Re: Official Bungie Canon? kyjel 12/16/06 6:40 p.m.

Re: Official Bungie Canon? Shoeless 12/17/06 4:13 p.m.

Re: Official Bungie Canon? Frungi 12/18/06 5:09 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/18/06 8:47 p.m.

Re: Official Bungie Canon? Frungi 12/18/06 9:22 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/22/06 9:58 a.m.

questions and answers MrHen 12/22/06 12:44 p.m.

Re: Official Bungie Canon? Shoeless 12/22/06 1:24 p.m.

Re: Official Bungie Canon? Shoeless 12/18/06 10:21 p.m.

rabbit trail, sorry... MrHen 12/13/06 5:23 a.m.

Re: rabbit trail, sorry... Chris Biberstein 12/13/06 4:29 p.m.

and the problem was... where? MrHen 12/13/06 7:06 p.m.

Re: and the problem was... where? Forrest of B.org 12/13/06 9:13 p.m.

ah, my bad. I understand. :) *NM* MrHen 12/14/06 4:54 a.m.

Re: ah, my bad. I understand. :) Forrest of B.org 12/14/06 1:22 p.m.

I am the same way. ;) MrHen 12/15/06 5:18 a.m.

Re: I am the same way. ;) Forrest of B.org 12/15/06 7:27 a.m.

Branching MrHen 12/15/06 9:46 a.m.

Re: Branching Forrest of B.org 12/15/06 11:04 a.m.

Actually, I think I did understand. MrHen 12/15/06 4:32 p.m.

Re: Actually, I think I did understand. Forrest of B.org 12/17/06 11:55 a.m.

Oh, okay, then we do disagree. MrHen 12/17/06 6:50 p.m.

Re: Oh, okay, then we do disagree. Forrest of B.org 12/17/06 10:08 p.m.

so where do you get hyper-time? MrHen 12/18/06 5:13 a.m.

Re: so where do you get hyper-time? Forrest of B.org 12/18/06 8:20 a.m.

whoops... no... that is not what I meant. MrHen 12/18/06 9:49 a.m.

Re: whoops... no... that is not what I meant. Forrest of B.org 12/18/06 1:58 p.m.

right, yeah, that is the identity problem MrHen 12/18/06 4:41 p.m.

Re: right, yeah, that is the identity problem Forrest of B.org 12/18/06 9:55 p.m.

ohhh... MrHen 12/19/06 5:44 a.m.

Re: ohhh... Forrest of B.org 12/19/06 9:20 a.m.

back to the math ;) MrHen 12/19/06 11:07 a.m.

Re: back to the math ;) Forrest of B.org 12/19/06 1:36 p.m.

wait, so my model is too... real? ;) MrHen 12/22/06 1:57 p.m.

Sort of. Forrest of B.org 12/22/06 3:22 p.m.

and the light turns on... MrHen 1/7/07 4:41 p.m.

Re: and the light turns on... Forrest of B.org 1/8/07 8:12 p.m.

Re: Official Bungie Canon? Shoeless 12/13/06 8:11 a.m.

Re: Official Bungie Canon? Chris Biberstein 12/13/06 4:34 p.m.

Re: Official Bungie Canon? Shoeless 12/14/06 8:01 a.m.

Re: Official Bungie Canon? Frungi 12/15/06 8:02 a.m.

Re: Official Bungie Canon? Forrest of B.org 12/15/06 8:51 a.m.

Re: Official Bungie Canon? Frungi 12/15/06 9:22 a.m.

hehe, Infinity MrHen 12/15/06 9:51 a.m.

Re: hehe, Infinity Forrest of B.org 12/15/06 11:16 a.m.

Re: hehe, Infinity treellama 12/15/06 12:18 p.m.

Re: hehe, Infinity Forrest of B.org 12/15/06 1:15 p.m.

Re: hehe, Infinity treellama 12/15/06 2:09 p.m.

Re: hehe, Infinity Forrest of B.org 12/15/06 3:15 p.m.

Re: hehe, Infinity treellama 12/15/06 4:12 p.m.

Re: hehe, Infinity Frungi 12/15/06 6:34 p.m.

Re: hehe, Infinity treellama 12/16/06 3:38 a.m.

So... do I have this right? MrHen 12/16/06 6:35 a.m.

Re: So... do I have this right? treellama 12/16/06 11:25 a.m.

Re: hehe, Infinity treellama 12/15/06 2:21 p.m.

Re: Official Bungie Canon? treellama 12/15/06 9:55 a.m.

Re: Official Bungie Canon? McNutcase 12/15/06 11:12 a.m.

Re: Official Bungie Canon? Forrest of B.org 12/15/06 1:20 p.m.

Re: Official Bungie Canon? McNutcase 12/15/06 9:32 a.m.

Re: Official Bungie Canon? MrHen 12/15/06 9:49 a.m.

Re: Official Bungie Canon? treellama 12/15/06 9:56 a.m.

Re: Official Bungie Canon? McNutcase 12/15/06 11:09 a.m.

Re: Official Bungie Canon? Forrest of B.org 12/15/06 1:34 p.m.

Re: Official Bungie Canon? Forrest of B.org 12/15/06 1:39 p.m.

Re: Official Bungie Canon? ukimalefu 12/15/06 6:29 p.m.

Re: Official Bungie Canon? McNutcase 12/15/06 10:23 p.m.

awesome, thanks! *NM* MrHen 12/16/06 6:49 a.m.

Re: Official Bungie Canon? Chris Biberstein 12/16/06 5:51 p.m.

Re: Official Bungie Canon? kyjel 12/16/06 7:08 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/18/06 8:36 p.m.

Re: Official Bungie Canon? Frungi 12/18/06 9:48 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/22/06 10:00 a.m.

Re: Official Bungie Canon? Forrest of B.org 12/22/06 10:19 a.m.

what he said MrHen 12/22/06 12:38 p.m.

Re: Official Bungie Canon? Shoeless 12/18/06 10:23 p.m.

*sigh* MrHen 12/17/06 5:08 a.m.

Re: Official Bungie Canon? Frungi 12/11/06 3:35 p.m.

Re: Official Bungie Canon? Chris Biberstein 12/12/06 12:23 p.m.

Re: Official Bungie Canon? Shoeless 12/13/06 7:56 a.m.

Re: Official Bungie Canon? Forrest of B.org 12/13/06 8:32 a.m.

another example (albeit overused) MrHen 12/13/06 8:57 a.m.

Re: The Garden of Forking Paths *LINK* irons 2/23/18 1:11 a.m.

LOKE *NM* W'rkncacnter 2/23/18 4:06 p.m.

Re: LOKE *NM* *LINK* irons 2/23/18 4:14 p.m.

LOKE *NM* *NM* *NM* *NM* *NM* *LINK* W'rkncacnter 2/23/18 11:09 p.m.

Re: LOKE *NM* *LINK* irons 2/24/18 3:31 a.m.

[ Post a Reply | Message Index | Read Prev Msg | Read Next Msg ]
Pre-2004 Posts

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: Now I think I vaguely remember why the reals are "larger". Does : this sound right? : When looking at and comparing reals and integers there is no one-to-one : correspondence (bijection?) between them. Looking at the integer : "1" we can say that the next number is "2". There is : no such "next number" on the real line. The number after : "1" is... what? : The rational number have a strict definition involving integers on integers : which gives them an ordered progression. The reals have no such thing. : There are an infinite number of numbers between "1" and : "2" and trying to find them all would be an utter waste of time. : The key is not which "numbers" are in the set but the size of the : set. I vaguely remember trying to think of it as how fast the set is : growing instead of how many numbers are in the set. The infinite set of : reals grows infinitely faster than the infinite set of integers. The : latter grows at the same speed as the rationals. : Does that sound right?

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The Garden of Forking Paths	Document	11/29/06 8:50 p.m.
Re: The Garden of Forking Paths	Forrest of B.org	11/29/06 10:11 p.m.
sniff Duality sniff NM*	treellama	11/30/06 2:51 a.m.
That's not fair.	RyokoTK	11/30/06 5:26 a.m.
Re: That's not fair.	McNutcase	11/30/06 5:40 a.m.
Re: That's not fair.	RyokoTK	11/30/06 8:51 a.m.
Re: That's not fair.	McNutcase	11/30/06 9:25 a.m.
Re: That's not fair.	RyokoTK	11/30/06 9:59 a.m.
Re: That's not fair.	D-M.A.	11/30/06 10:05 a.m.
Re: That's not fair.	RyokoTK	11/30/06 10:22 a.m.
Ahaa, I see what you mean now, point taken. NM	D-M.A.	11/30/06 10:33 a.m.
define "well"	MrHen	11/30/06 10:24 a.m.
Re: define "well"	RyokoTK	11/30/06 11:31 a.m.
Re: define "well"	Aaron Sikes	11/30/06 12:19 p.m.
Re: define "well"	Forrest of B.org	11/30/06 1:26 p.m.
Re: define "well"	Aaron Sikes	12/1/06 6:01 a.m.
Mmm... House of Leaves	MrHen	11/30/06 8:00 a.m.
Re: The Garden of Forking Paths	Vid Boi	11/30/06 8:13 a.m.
Re: The Garden of Forking Paths	sdwoodchuck	11/30/06 12:39 p.m.
So, what was your conclusion? NM	Frungi	11/30/06 3:57 p.m.
Re: So, what was your conclusion?	sdwoodchuck	11/30/06 6:18 p.m.
in your theory, the dreams...	MrHen	12/1/06 4:44 a.m.
Re: in your theory, the dreams...	thermoplyae	12/1/06 6:42 a.m.
Re: So, what was your conclusion?	Frungi	12/4/06 6:31 p.m.
Re: So, what was your conclusion?	Forrest of B.org	12/4/06 9:07 p.m.
Time Travel and the Psychology of Gods	Forrest of B.org	12/4/06 9:25 p.m.
Re: Time Travel and the Psychology of Gods	Frungi	12/5/06 8:46 a.m.
Re: Time Travel and the Psychology of Gods	Forrest of B.org	12/5/06 4:29 p.m.
heck, I would buy 'em	MrHen	12/5/06 6:39 p.m.
Philosophy anyone?	Icarus	12/6/06 8:29 a.m.
Re: Philosophy anyone?	Forrest of B.org	12/6/06 10:46 a.m.
Re: The Garden of Forking Paths LINK	Hamish Sinclair	12/2/06 5:06 a.m.
Re: The Garden of Forking Paths	Document	12/2/06 6:17 p.m.
Re: The Garden of Forking Paths	Document	12/4/06 7:03 p.m.
Official Bungie Canon?	Shoeless	12/7/06 7:00 a.m.
Re: Official Bungie Canon?	Bob-B-Q	12/7/06 10:14 a.m.
Define "all"	MrHen	12/7/06 10:20 a.m.
Re: Define "all"	Document	12/7/06 4:20 p.m.
Re: Define "all"	Document	12/7/06 4:21 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/11/06 10:28 a.m.
Re: Official Bungie Canon?	Shoeless	12/11/06 12:00 p.m.
Re: Official Bungie Canon?	Forrest of B.org	12/11/06 12:03 p.m.
Re: Official Bungie Canon?	MrHen	12/11/06 1:45 p.m.
Re: Official Bungie Canon? LINK	Frungi	12/11/06 3:22 p.m.
uh, thanks...	MrHen	12/11/06 6:01 p.m.
Re: Official Bungie Canon?	Forrest of B.org	12/11/06 9:44 p.m.
I like being confused...	MrHen	12/12/06 5:13 a.m.
Re: I like being confused...	Forrest of B.org	12/12/06 3:53 p.m.
Re: I like being confused...	Frungi	12/12/06 5:51 p.m.
Re: I like being confused...	Forrest of B.org	12/12/06 9:42 p.m.
timelines and their glory	MrHen	12/13/06 5:14 a.m.
Re: timelines and their glory	Forrest of B.org	12/13/06 8:05 a.m.
Mmm... trippy...	MrHen	12/13/06 8:20 a.m.
Re: timelines and their glory	Frungi	12/13/06 1:43 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/12/06 12:37 p.m.
Re: Official Bungie Canon?	Forrest of B.org	12/12/06 4:02 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/12/06 4:43 p.m.
Re: Official Bungie Canon?	Forrest of B.org	12/12/06 9:52 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/13/06 4:17 p.m.
Re: Official Bungie Canon?	Forrest of B.org	12/13/06 6:06 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/16/06 5:42 p.m.
what? why?	MrHen	12/16/06 5:47 p.m.
Re: Official Bungie Canon?	kyjel	12/16/06 6:40 p.m.
Re: Official Bungie Canon?	Shoeless	12/17/06 4:13 p.m.
Re: Official Bungie Canon?	Frungi	12/18/06 5:09 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/18/06 8:47 p.m.
Re: Official Bungie Canon?	Frungi	12/18/06 9:22 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/22/06 9:58 a.m.
questions and answers	MrHen	12/22/06 12:44 p.m.
Re: Official Bungie Canon?	Shoeless	12/22/06 1:24 p.m.
Re: Official Bungie Canon?	Shoeless	12/18/06 10:21 p.m.
rabbit trail, sorry...	MrHen	12/13/06 5:23 a.m.
Re: rabbit trail, sorry...	Chris Biberstein	12/13/06 4:29 p.m.
and the problem was... where?	MrHen	12/13/06 7:06 p.m.
Re: and the problem was... where?	Forrest of B.org	12/13/06 9:13 p.m.
ah, my bad. I understand. :) NM	MrHen	12/14/06 4:54 a.m.
Re: ah, my bad. I understand. :)	Forrest of B.org	12/14/06 1:22 p.m.
I am the same way. ;)	MrHen	12/15/06 5:18 a.m.
Re: I am the same way. ;)	Forrest of B.org	12/15/06 7:27 a.m.
Branching	MrHen	12/15/06 9:46 a.m.
Re: Branching	Forrest of B.org	12/15/06 11:04 a.m.
Actually, I think I did understand.	MrHen	12/15/06 4:32 p.m.
Re: Actually, I think I did understand.	Forrest of B.org	12/17/06 11:55 a.m.
Oh, okay, then we do disagree.	MrHen	12/17/06 6:50 p.m.
Re: Oh, okay, then we do disagree.	Forrest of B.org	12/17/06 10:08 p.m.
so where do you get hyper-time?	MrHen	12/18/06 5:13 a.m.
Re: so where do you get hyper-time?	Forrest of B.org	12/18/06 8:20 a.m.
whoops... no... that is not what I meant.	MrHen	12/18/06 9:49 a.m.
Re: whoops... no... that is not what I meant.	Forrest of B.org	12/18/06 1:58 p.m.
right, yeah, that is the identity problem	MrHen	12/18/06 4:41 p.m.
Re: right, yeah, that is the identity problem	Forrest of B.org	12/18/06 9:55 p.m.
ohhh...	MrHen	12/19/06 5:44 a.m.
Re: ohhh...	Forrest of B.org	12/19/06 9:20 a.m.
back to the math ;)	MrHen	12/19/06 11:07 a.m.
Re: back to the math ;)	Forrest of B.org	12/19/06 1:36 p.m.
wait, so my model is too... real? ;)	MrHen	12/22/06 1:57 p.m.
Sort of.	Forrest of B.org	12/22/06 3:22 p.m.
and the light turns on...	MrHen	1/7/07 4:41 p.m.
Re: and the light turns on...	Forrest of B.org	1/8/07 8:12 p.m.
Re: Official Bungie Canon?	Shoeless	12/13/06 8:11 a.m.
Re: Official Bungie Canon?	Chris Biberstein	12/13/06 4:34 p.m.
Re: Official Bungie Canon?	Shoeless	12/14/06 8:01 a.m.
Re: Official Bungie Canon?	Frungi	12/15/06 8:02 a.m.
Re: Official Bungie Canon?	Forrest of B.org	12/15/06 8:51 a.m.
Re: Official Bungie Canon?	Frungi	12/15/06 9:22 a.m.
hehe, Infinity	MrHen	12/15/06 9:51 a.m.
Re: hehe, Infinity	Forrest of B.org	12/15/06 11:16 a.m.
Re: hehe, Infinity	treellama	12/15/06 12:18 p.m.
Re: hehe, Infinity	Forrest of B.org	12/15/06 1:15 p.m.
Re: hehe, Infinity	treellama	12/15/06 2:09 p.m.
Re: hehe, Infinity	Forrest of B.org	12/15/06 3:15 p.m.
Re: hehe, Infinity	treellama	12/15/06 4:12 p.m.
Re: hehe, Infinity	Frungi	12/15/06 6:34 p.m.
Re: hehe, Infinity	treellama	12/16/06 3:38 a.m.
So... do I have this right?	MrHen	12/16/06 6:35 a.m.
Re: So... do I have this right?	treellama	12/16/06 11:25 a.m.
Re: hehe, Infinity	treellama	12/15/06 2:21 p.m.
Re: Official Bungie Canon?	treellama	12/15/06 9:55 a.m.
Re: Official Bungie Canon?	McNutcase	12/15/06 11:12 a.m.
Re: Official Bungie Canon?	Forrest of B.org	12/15/06 1:20 p.m.
Re: Official Bungie Canon?	McNutcase	12/15/06 9:32 a.m.
Re: Official Bungie Canon?	MrHen	12/15/06 9:49 a.m.
Re: Official Bungie Canon?	treellama	12/15/06 9:56 a.m.
Re: Official Bungie Canon?	McNutcase	12/15/06 11:09 a.m.
Re: Official Bungie Canon?	Forrest of B.org	12/15/06 1:34 p.m.
Re: Official Bungie Canon?	Forrest of B.org	12/15/06 1:39 p.m.
Re: Official Bungie Canon?	ukimalefu	12/15/06 6:29 p.m.
Re: Official Bungie Canon?	McNutcase	12/15/06 10:23 p.m.
awesome, thanks! NM	MrHen	12/16/06 6:49 a.m.
Re: Official Bungie Canon?	Chris Biberstein	12/16/06 5:51 p.m.
Re: Official Bungie Canon?	kyjel	12/16/06 7:08 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/18/06 8:36 p.m.
Re: Official Bungie Canon?	Frungi	12/18/06 9:48 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/22/06 10:00 a.m.
Re: Official Bungie Canon?	Forrest of B.org	12/22/06 10:19 a.m.
what he said	MrHen	12/22/06 12:38 p.m.
Re: Official Bungie Canon?	Shoeless	12/18/06 10:23 p.m.
sigh	MrHen	12/17/06 5:08 a.m.
Re: Official Bungie Canon?	Frungi	12/11/06 3:35 p.m.
Re: Official Bungie Canon?	Chris Biberstein	12/12/06 12:23 p.m.
Re: Official Bungie Canon?	Shoeless	12/13/06 7:56 a.m.
Re: Official Bungie Canon?	Forrest of B.org	12/13/06 8:32 a.m.
another example (albeit overused)	MrHen	12/13/06 8:57 a.m.
Re: The Garden of Forking Paths LINK	irons	2/23/18 1:11 a.m.
LOKE NM	W'rkncacnter	2/23/18 4:06 p.m.
Re: LOKE NM LINK	irons	2/23/18 4:14 p.m.
LOKE NM NM NM NM NM LINK	W'rkncacnter	2/23/18 11:09 p.m.
Re: LOKE NM LINK	irons	2/24/18 3:31 a.m.



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	Message: : Now I think I vaguely remember why the reals are "larger". Does : this sound right? : When looking at and comparing reals and integers there is no one-to-one : correspondence (bijection?) between them. Looking at the integer : "1" we can say that the next number is "2". There is : no such "next number" on the real line. The number after : "1" is... what? : The rational number have a strict definition involving integers on integers : which gives them an ordered progression. The reals have no such thing. : There are an infinite number of numbers between "1" and : "2" and trying to find them all would be an utter waste of time. : The key is not which "numbers" are in the set but the size of the : set. I vaguely remember trying to think of it as how fast the set is : growing instead of how many numbers are in the set. The infinite set of : reals grows infinitely faster than the infinite set of integers. The : latter grows at the same speed as the rationals. : Does that sound right?
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