
justAkid
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Nothing is greater than infinity
#7731502  12/08/07 12:41 AM (16 years, 6 months ago) 


Nothing is greater than infinity, Nothing is more perfect than perfection.
Before everything, before matter, before time, before heaven and hell or angels and demons there was only God. And God, all alone, was perfect. The universe was completely perfect.
Then one day God asked himself, "What can I create to make this Universe more perfect?" Upon realizing the stupidity of his question he saw the he had tainted his perfection by even pondering this impossibility.
So God put a gun in his mouth and pulled the trigger, and the Universe was perfect once again.
 Trust thyself.

EternalCowabunga
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Re: Nothing is greater than infinity [Re: justAkid]
#7731542  12/08/07 12:53 AM (16 years, 6 months ago) 


to sit in silence (meditation?) and believe that all is fine will cause a wake up call after disease that one could have avoided
perfection is perfect? sure, and worse is worse
no god, only us. we are not perfect by a long shot, short shot or gun shot


kotik
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Re: Nothing is greater than infinity [Re: justAkid]
#7731648  12/08/07 01:31 AM (16 years, 6 months ago) 


Quote:
one day God asked himself, "What can I create to make this Universe more perfect?" Upon realizing the stupidity of his question he saw the he had tainted his perfection by even pondering this impossibility.
best thread ever. or at least tonight.
 No statements made in any post or message by myself should be construed to mean that I am now, or have ever been, participating in or considering participation in any activities in violation of any local, state, or federal laws. All posts are works of fiction.
Edited by kotik (12/08/07 01:32 AM)

daytripper23
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Re: Nothing is greater than infinity [Re: kotik]
#7731718  12/08/07 02:03 AM (16 years, 6 months ago) 


If infinity exists, we are infinite. I dont feel so great though. Do you have to realize infinity to become infinite? Is the power of our awareness enough to actually limit reality? It certainly seems like it: I believe I am one limited and seperate being, and so I am one. Id say practical realization of infinity is greatest, otherwise, your just plain old you and Im plain old me.

Icelander
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Re: Nothing is greater than infinity [Re: justAkid]
#7732259  12/08/07 08:42 AM (16 years, 6 months ago) 


Quote:
justAkid said: Nothing is greater than infinity, Nothing is more perfect than perfection.
Before everything, before matter, before time, before heaven and hell or angels and demons there was only God. And God, all alone, was perfect. The universe was completely perfect.
Then one day God asked himself, "What can I create to make this Universe more perfect?" Upon realizing the stupidity of his question he saw the he had tainted his perfection by even pondering this impossibility.
So God put a gun in his mouth and pulled the trigger, and the Universe was perfect once again.
Gee, what fun. The P&S reaches continual new heights in posting.
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

dsquaredccubed
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Re: Nothing is greater than infinity [Re: justAkid]
#7732272  12/08/07 08:47 AM (16 years, 6 months ago) 


see eye wood say nothing exists without origin
 cuwn1cu "You, Lynard Skinnardhat and Me, little kitty Sat across with a velvet jacket Wild orange hair and dark, dark eyes I gawked like a twelveyearold  smitten Carla the stripper, straight from L.A. You seem cool for a naked chick in a booth Let's be pals some day In other words,..

Diploid
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Re: Nothing is greater than infinity [Re: justAkid]
#7735997  12/09/07 10:26 AM (16 years, 6 months ago) 


Nothing is greater than infinity
Actually, in the mathematics of Set Theory, it is possible to have a set containing infinitely many members, and another LARGER set also containing even more members!
It turns out that there are more Irrational Numbers (like Pi and the square root of 2) than there are Rational Numbers (like 1.5, 7.436, 1.99), even though there are infinitely many of both.
Weird, but true.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

Huehuecoyotl
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Re: Nothing is greater than infinity [Re: justAkid]
#7736010  12/09/07 10:30 AM (16 years, 6 months ago) 


Quote:
Nothing is greater than infinity
Double infinity is...
 "A warrior is a hunter. He calculates everything. That's control. Once his calculations are over, he acts. He lets go. That's abandon. A warrior is not a leaf at the mercy of the wind. No one can push him; no one can make him do things against himself or against his better judgment. A warrior is tuned to survive, and he survives in the best of all possible fashions." ― Carlos Castaneda

Lion
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Re: Nothing is greater than infinity [Re: Diploid]
#7736088  12/09/07 10:49 AM (16 years, 6 months ago) 


Why is the square root of 2 an irrational number?
edit: come to think of it, why is Pi an irrational number?
I've never been much good at math...
 “Strengthened by contemplation and study, I will not fear my passions like a coward. My body I will give to pleasures, to diversions that I’ve dreamed of, to the most daring erotic desires, to the lustful impulses of my blood, without any fear at all, for whenever I will— and I will have the will, strengthened as I’ll be with contemplation and study— at the crucial moments I’ll recover my spirit as was before: ascetic.”

Silversoul
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Re: Nothing is greater than infinity [Re: Lion]
#7736101  12/09/07 10:54 AM (16 years, 6 months ago) 


Quote:
bug said: Why is the square root of 2 an irrational number?
edit: come to think of it, why is Pi an irrational number?
I've never been much good at math...
An irrational number is any number which cannot be expressed as a ratio of two whole numbers. Interestingly, the Pythagoreans in ancient Greece were scared of irrational numbers, and actually kept the square root of 2 as a closely guarded secret.


Diploid
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Re: Nothing is greater than infinity [Re: Lion]
#7736116  12/09/07 10:57 AM (16 years, 6 months ago) 


Why is the square root of 2 an irrational number?
Because it can't be written as a fraction and in decimal form it never repeats or terminates. Square root of 2 is written starting like this:
1.414213562373730950488016887242097... and so on never repeating or terminating.
Pi start like this: 3.1415926... and so on never repeating or terminating.
Rational numbers, like 1/3, can be written as .33333333333 repeating. If it repeats or terminates, it can be expressed as a fraction and is Rational.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

OrgoneConclusion
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Re: Nothing is greater than infinity [Re: justAkid]
#7736121  12/09/07 10:59 AM (16 years, 6 months ago) 


Quote:
Nothing is greater than infinity,
What about the size of my ego?


TheCow
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Re: Nothing is greater than infinity [Re: Diploid]
#7736274  12/09/07 11:46 AM (16 years, 6 months ago) 


Quote:
Diploid said: Nothing is greater than infinity
Actually, in the mathematics of Set Theory, it is possible to have a set containing infinitely many members, and another LARGER set also containing even more members!
It turns out that there are more Irrational Numbers (like Pi and the square root of 2) than there are Real Numbers (like 1.5, 7.436, 1.99), even though there are infinitely many of both.
Weird, but true.
Yes this is correct, except for one problem which I assume was just a typo. There are more irrational numbers than rational numbers. The Real numbers are an uncountable set and are the disjoint union of the rationals and irrationals. Good ol Cantor gave us his cardinalities of infinity where he has varying degrees of infinity with I believe the lowest level being the countable infinite set of rational numbers.
As far as the square root of 2 you can prove it just by using a proof by contradiction. I dont remember the proof and am too lazy to look it up but Im sure a simple google or wikipedia search will explode you an answer

daytripper23
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Numbers rely on context, which we as subjective beings necessarily create.
1,2,3,4... are numbers, but in reality they are necessarily 1/1, 2/1, 3/1, 4/1, because it the numbers apply to individuals of a set.
In the same sense, a half of a pizza, or a quarter of a mile, are in actuality wholes themselves as well. Its a whole half a pizza, or an entire quarter of a mile.
Numbers are entirely contextual
All this double, triple, infinity infinity arises out of the idea that it is "constantly expanding". In actuality, infinity is not expanding, it just exists. our consciousness can only grasp it in this way because we are bounded by time, creating the illusion that infinity is actually growing. We cannot contextualize it.
In relation to infinity, all contextual numbers are meaningless. Double, triple or infinity times infinity is just the same as saying super duper antiinflammatory infinity.

Icelander
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Re: Nothing is greater than infinity [Re: daytripper23]
#7736356  12/09/07 12:10 PM (16 years, 6 months ago) 


Psssssst. They were kidding dude.
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

daytripper23
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Re: Nothing is greater than infinity [Re: Icelander]
#7736364  12/09/07 12:12 PM (16 years, 6 months ago) 


Nah, me and diploid have a past with this one

justAkid
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Re: Nothing is greater than infinity [Re: Diploid]
#7738827  12/09/07 11:34 PM (16 years, 6 months ago) 


Alright Mister Smarty Pants. I guess the infinity I'm talking about is the greatest infinity.
Why would infinity of one set not include all rational or irrational numbers of the second set?
Why would they deem the first set infinite if it did not include all numbers or "members"?
It wouldn't be infinite. Sounds like a finite set.
Maybe I'm just being too rational. I should know by now the world doesn't work that way.
But that wasn't really the point of my post, just kind of an introduction to help relate that point to the fact that the perfection of God cannot be exceeded by anything.
And if that was so God would not possibly even consider creating anything.
Why would he ever do anything to try to exceed perfection (which is impossible)?
If there is a God, a perfect God, this must not exist.
 Trust thyself.

Seuss
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Re: Nothing is greater than infinity [Re: daytripper23]
#7739270  12/10/07 05:20 AM (16 years, 6 months ago) 


> Numbers rely on context, which we as subjective beings necessarily create.
I disagree, to a large extent. Granted, everything within our reality depends upon context. However, numbers can define each other through their identity properties, thus numbers only rely on other numbers to provide context.
> In actuality, infinity is not expanding, it just exists.
In mathematics, it is almost always a concept, not a thing and not a number. Thinking of infinity as a thing that exists is one of the primary difficulties people have understanding higher mathematics. (There are some really wacked out areas of math that treat infinity as a number.)
> In relation to infinity, all contextual numbers are meaningless.
I don't follow what you mean by this?
 Just another spore in the wind.

daytripper23
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Re: Nothing is greater than infinity [Re: Seuss]
#7739285  12/10/07 05:36 AM (16 years, 6 months ago) 


Quote:
I disagree, to a large extent. Granted, everything within our reality depends upon context. However, numbers can define each other through their identity properties, thus numbers only rely on other numbers to provide context.
Can you further explain what you mean by defining each other by their identity properties, maybe by example? Im not sure what you mean by this. From my understanding, numbers in themselves are completely abstract, and so cant be used to define themselves in any way.
The basic case I was trying to make though, is that numbers are meaningless in relation to infinity.
1/infinity is the same as 99/infinity. The only function that numbers might serve is completly lost in this relation, unless you rely on time...
For example... you might argue that 2x infinity is more than infinity, because where ever infinity is (in time), 2x infinity is twice as far/much; as if single infinity must play "catch up". But this rests on the idea that infinity is expanding through time, which isnt necessarily the case.
Catch my drift?

Diploid
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Re: Nothing is greater than infinity [Re: justAkid]
#7739763  12/10/07 09:49 AM (16 years, 6 months ago) 


Why would they deem the first set infinite if it did not include all numbers or "members"?
Because we're not talking about the set of All Numbers.
Consider the set of all Positive Whole Numbers and the set of all Negative Whole Numbers. Neither set contains any elements of the other, and neither contains the number 2.5 which isn't a Whole Number, even though both contain infinitely many members.
In this thread, we're talking about the set of all Rational Numbers, and the set of all Irrational Numbers. Neither of those contains all possible elements even though both of them contain infinitely many elements.
Why would infinity of one set not include all rational or irrational numbers of the second set?
Because of Cantor's Diagonal Proof. Cantor figured out a way to map each element of the set of Rational Numbers to exactly one element in the set of Irrational Numbers. When he was done, there were Irrational Numbers left over that didn't have a partner in the set of Rational Numbers.
That means the set of Irrationals is a bigger infinity than the set of Rationals. These samesized infinites are said to posses the same Cardinality; they have the same Aleph number.
This has been understood for over a hundred years.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

Diploid
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Re: Nothing is greater than infinity [Re: daytripper23]
#7739776  12/10/07 09:53 AM (16 years, 6 months ago) 


you might argue that 2x infinity
This is your difficulty here. Infinity is NOT a number. 2xInfinity is meaningless.
You can only do arithmetic with numbers, not with infinity, which is a concept, not a number.
What you're suggesting makes as much sense as stating that "2xDoorhinge = 42". It is meaningless. A Doorhinge is not a number to be multiplied. Neither is infinity. Infinity is an idea.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

Icelander
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Re: Nothing is greater than infinity [Re: Diploid]
#7739810  12/10/07 10:05 AM (16 years, 6 months ago) 


I even understand that one.
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

daytripper23
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Re: Nothing is greater than infinity [Re: Diploid]
#7739876  12/10/07 10:26 AM (16 years, 6 months ago) 


Well come on diploid, that was the exact case I was trying to demonstrate.
No need to put words in my mouth to make me look bad.

Icelander
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Re: Nothing is greater than infinity [Re: daytripper23]
#7739893  12/10/07 10:31 AM (16 years, 6 months ago) 


No need to put words in my mouth to make me look bad.
You mean because you can do that all by yourself?
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

BlueCoyote
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Re: Nothing is greater than infinity [Re: Icelander]
#7740005  12/10/07 11:04 AM (16 years, 6 months ago) 


In infinitesimal calculation it is important which part of an equation has the 'stronger' infinities. It distinguishes infinities, so one can draw a limit, for derivations for example. There are 'differen' infinities in math.

TheCow
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Re: Nothing is greater than infinity [Re: Diploid]
#7740461  12/10/07 12:48 PM (16 years, 6 months ago) 


Quote:
Diploid said: the set of all Real Numbers. Neither of those contains all possible elements even though both of them contain infinitely many elements.
Im not sure what you mean by this. The set of all Real numbers contains both irrational and rational numbers. It excludes complex numbers if thats what you mean though

daytripper23
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Re: Nothing is greater than infinity [Re: Icelander]
#7740604  12/10/07 01:18 PM (16 years, 6 months ago) 


Wow another insightful post by icelander

Diploid
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Re: Nothing is greater than infinity [Re: TheCow]
#7741070  12/10/07 02:56 PM (16 years, 6 months ago) 


Im not sure what you mean by this. The set of all Real numbers contains both irrational and rational numbers.
Typo. I meant Rational, not Real.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

Icelander
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Re: Nothing is greater than infinity [Re: daytripper23]
#7741676  12/10/07 05:14 PM (16 years, 6 months ago) 


Quote:
daytripper23 said: Wow another insightful post by icelander
Not difficult really.;)
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

danlennon3
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Re: Nothing is greater than infinity [Re: Icelander]
#7742051  12/10/07 06:31 PM (16 years, 6 months ago) 


so infinity divided by infinity is what?
 "Psychedelics should be used not to escape reality, but to embrace it"

Veritas
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Re: Nothing is greater than infinity [Re: danlennon3]
#7742061  12/10/07 06:33 PM (16 years, 6 months ago) 


Blue fish, of course.

Icelander
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Re: Nothing is greater than infinity [Re: danlennon3]
#7742069  12/10/07 06:34 PM (16 years, 6 months ago) 


You mean is who.
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

Veritas
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Re: Nothing is greater than infinity [Re: Icelander]
#7742083  12/10/07 06:37 PM (16 years, 6 months ago) 


Whom.

Icelander
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Re: Nothing is greater than infinity [Re: Veritas]
#7742086  12/10/07 06:38 PM (16 years, 6 months ago) 


That's my girl.
 "Don't believe everything you think". Anom. " All that lives was born to die"Anom. With much wisdom comes much sorrow, The more knowledge, the more grief. Ecclesiastes circa 350 BC

Diploid
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Re: Nothing is greater than infinity [Re: danlennon3]
#7742373  12/10/07 07:33 PM (16 years, 6 months ago) 


so infinity divided by infinity is what?
Infinity is a concept, not a number. You can only divide numbers.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

PhanTomCat
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Re: Nothing is greater than infinity [Re: Diploid]
#7742381  12/10/07 07:35 PM (16 years, 6 months ago) 


Maybe he meant to say: What is one infinity divided by one infinity....
>^;;^<
 I'll be your midnight French Fry.... "The most important things in life that are often ignored, are the things that one cannot see...." >^;;^<

Diploid
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Re: Nothing is greater than infinity [Re: PhanTomCat]
#7742393  12/10/07 07:39 PM (16 years, 6 months ago) 


I don't know what that means.
 Republican Values: 1) You can't get married to your spouse who is the same sex as you. 2) You can't have an abortion no matter how much you don't want a child. 3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer. 4) We need a smaller, lessintrusive government.

Lion
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Re: Nothing is greater than infinity [Re: PhanTomCat]
#7742396  12/10/07 07:39 PM (16 years, 6 months ago) 


Quote:
PhanTomCat said: Maybe he meant to say: What is one infinity divided by one infinity....
>^;;^<
one?
 “Strengthened by contemplation and study, I will not fear my passions like a coward. My body I will give to pleasures, to diversions that I’ve dreamed of, to the most daring erotic desires, to the lustful impulses of my blood, without any fear at all, for whenever I will— and I will have the will, strengthened as I’ll be with contemplation and study— at the crucial moments I’ll recover my spirit as was before: ascetic.”

MushroomTrip
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Re: Nothing is greater than infinity [Re: Lion]
#7742406  12/10/07 07:41 PM (16 years, 6 months ago) 


That's only if the infinities are equal
 All this time I've loved you And never known your face All this time I've missed you And searched this human race Here is true peace Here my heart knows calm Safe in your soul Bathed in your sighs

PhanTomCat
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Re: Nothing is greater than infinity [Re: MushroomTrip]
#7742408  12/10/07 07:42 PM (16 years, 6 months ago) 


They are ALWAYS equal.... Sometimes....
>^;;^<
 I'll be your midnight French Fry.... "The most important things in life that are often ignored, are the things that one cannot see...." >^;;^<

Lion
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Re: Nothing is greater than infinity [Re: MushroomTrip]
#7742409  12/10/07 07:43 PM (16 years, 6 months ago) 


I should really study for my math exam
 “Strengthened by contemplation and study, I will not fear my passions like a coward. My body I will give to pleasures, to diversions that I’ve dreamed of, to the most daring erotic desires, to the lustful impulses of my blood, without any fear at all, for whenever I will— and I will have the will, strengthened as I’ll be with contemplation and study— at the crucial moments I’ll recover my spirit as was before: ascetic.”

MushroomTrip
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Re: Nothing is greater than infinity [Re: Lion]
#7742418  12/10/07 07:46 PM (16 years, 6 months ago) 


Did I ever tell you that I was a five grade math Olympic? That was my peak
 All this time I've loved you And never known your face All this time I've missed you And searched this human race Here is true peace Here my heart knows calm Safe in your soul Bathed in your sighs

Lion
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Re: Nothing is greater than infinity [Re: MushroomTrip]
#7742422  12/10/07 07:47 PM (16 years, 6 months ago) 


Quote:
MushroomTrip said: Did I ever tell you that I was a five grade math Olympic? That was my peak
is that like special olympics?
 “Strengthened by contemplation and study, I will not fear my passions like a coward. My body I will give to pleasures, to diversions that I’ve dreamed of, to the most daring erotic desires, to the lustful impulses of my blood, without any fear at all, for whenever I will— and I will have the will, strengthened as I’ll be with contemplation and study— at the crucial moments I’ll recover my spirit as was before: ascetic.”

MushroomTrip
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Re: Nothing is greater than infinity [Re: Lion]
#7742436  12/10/07 07:51 PM (16 years, 6 months ago) 


Quote:
bug said:
Quote:
MushroomTrip said: Did I ever tell you that I was a five grade math Olympic? That was my peak
is that like special olympics?
Better

skydog
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Re: Nothing is greater than infinity [Re: MushroomTrip]
#7742520  12/10/07 08:15 PM (16 years, 6 months ago) 


Can someone help me with this math problem my professor assigned for extra credit?
Find the derivative of the following function:
f(doorhinge) = 2doorhinge^{3}  1/doorhinge
thx in advance


JoseLibrado
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Re: Nothing is greater than infinity [Re: skydog]
#7742587  12/10/07 08:28 PM (16 years, 6 months ago) 


Infinity is limitless. As soon as you say infinity is a set of numbers, you assume a plurality of numbers. Yet, this goes against its plurality of the concept as being a limitless value, in so far as some plural value, such as two...is limited to is plurality.
Infinity is limitless and in relation to value, which is what this topic is about, i think of it as more of the 'to' in the plural value, 0 to 2.
I dont see how you could count infinite numbers in any way, if you would care to explain diploid, i would be happy to try and concieve of how this guy cantor?, counted a set of number that has no limits.
in relation to the post...infinity isnt the greatest or least value, because it is not value...values begin at 0 and go to their assigned limit. If this is true, then infinity cannot be a value, because a value begins and ends, and if something ends, it is limited.
 The mind is a creative tool. It searches to protect you, through message sensations(feelings). It is no different than a computer, you need to make sure its antivirus program is in check and that it doesnt have a script that limits your experience, because of to much precaution. And remember the computer does not appear to respond to words of anger and frustration  just give it input, in the form of new meanings that you know to be true and its messages to you and the limits it lays out for you, will change. Guilt is an outcome of believing you are the cause of the problems. Yet, we are not a cause to something, we see is negative or bad  Unless you believe your intentions are directed towards a bad outcome....

skydog
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Re: Nothing is greater than infinity [Re: JoseLibrado]
#7742648  12/10/07 08:43 PM (16 years, 6 months ago) 


Quote:
I dont see how you could count infinite numbers in any way, if you would care to explain diploid, i would be happy to try and concieve of how this guy cantor?, counted a set of number that has no limits.
You don't have to count every single number in a set to conclude that there is infinite numbers in the set. In fact, if there is infinite numbers, then it would be impossible to count all of them.
For instance, in the set of all real numbers, there is infinite numbers, since you can add 1 to the previous number without bound. Therefore, you could add 1 an infinite amount of times and thus the amount of numbers is infinite.
EDIT: I think I misunderstood what you were saying, so I may be preaching to the choir :p

Edited by skydog (12/10/07 08:45 PM)

danlennon3
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Re: Nothing is greater than infinity [Re: PhanTomCat]
#7742766  12/10/07 09:11 PM (16 years, 6 months ago) 


what we conceive as infinity may only be the finite plane of our finite universe.
 "Psychedelics should be used not to escape reality, but to embrace it"

skydog
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Re: Nothing is greater than infinity [Re: danlennon3]
#7742778  12/10/07 09:14 PM (16 years, 6 months ago) 




Seuss
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Re: Nothing is greater than infinity [Re: skydog]
#7743850  12/11/07 05:24 AM (16 years, 6 months ago) 


Quote:
For instance, in the set of all real numbers, there is infinite numbers, since you can add 1 to the previous number without bound. Therefore, you could add 1 an infinite amount of times and thus the amount of numbers is infinite.
For more details, look up "proof by induction" which is what is being described above. http://en.wikipedia.org/wiki/Mathematical_induction
Quote:
I dont see how you could count infinite numbers in any way
You cannot enumerate the members of an infinite series. However, in many cases you can calculate the sum of the members of an infinite series.
 Just another spore in the wind.

daytripper23
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Re: Nothing is greater than infinity [Re: danlennon3]
#7743851  12/11/07 05:25 AM (16 years, 6 months ago) 


Quote:
what we conceive as infinity may only be the finite plane of our finite universe.
Maybe there should be a rule that anytime you use the concept, you have to repeat the word until death. At least it would stress the point.
Edited by daytripper23 (12/11/07 08:43 AM)

daytripper23
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Re: Nothing is greater than infinity [Re: daytripper23]
#7743854  12/11/07 05:29 AM (16 years, 6 months ago) 


Although I dont buy this notion that certain sets of infinitly large numbers are larger than others, I think it does make the point that infinity does not imply everything, or that infinities are not necessarily the same in quality.

daytripper23
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Re: Nothing is greater than infinity [Re: daytripper23]
#7744244  12/11/07 09:20 AM (16 years, 6 months ago) 


From my understanding, this idea of a certain set of numbers being larger than another, is expressed in finite terms as say, for every 10 rational numbers, there are say 10(2) imaginary numbers. (I know its not two but it still demonstrates the point) We realize that for every 10 numbers in this set, there are say twice that many in this other set.
What is being proposed, is that in infinite terms, this irrational set is still considered larger than the rational set, because for every 1 of these there are 2 of those: infinity in relation to infinity(2).
It rests on the assumption that where ever infinity is, double infinity is always twice as far. Since single infinity is unending, it will eventually catch up, right? But by that point infinity is twice as far. That, from my understanding is the case being made.
This is what I meant by how we necessarily impose time on infinity. We cant think of infinity (something without end) as anything other than constantly expanding, because this is how our rational consciousness works. Our concsiousness must theoretically expand through time to become aware of this universe. This is what these mathamaticians are imposing on infinity.
In material terms, say a hypothetical universe existent with infinite depth of matter, this is not necessarily expanding, it simply exists.

