Is infinity a number?

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cmdshft

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Re: Is infinity a number?
« Reply #60 on: June 11, 2008, 03:58:40 PM »
Interesting.

Re: Is infinity a number?
« Reply #61 on: August 07, 2008, 12:46:31 PM »
Sorry for reviving a two month old thread - I felt like I had to put my own two cents in.

This is just three pages of people repeating what they've been told.

Math is a whole lot more abstract than science, and in that respect people have more freedom to define their own terms.  Aside from a few axioms or postulates, all of math is based on logic and reasoning.  Furthermore, axioms and postulates (for example 1 + 2 = 2 + 1 or (a + b) + c = a + (b + c)) have their roots in human experience ('If I take two apples and add one apple to it, or if I take one apple and add two apples to it, I get three apples either way.').  To say people are repeating what they've been told is true - but many people (I for one) have understood what I've been told, in the math sense anyway.

Numbers are just abstractions anyway - they represent ideas that help us when we make transactions or evaluate properties of things.  So to say 4 is a representation of the set {0, 1, 2, 3} and nothing else is ridiculous. (Who starts counting at zero anyway?)  Infinity is a different abstraction, to me meaning "too large in magnitude to imagine." You can use infinity in some equations (like 1/0 = ∞), but once you start trying to evaluate something, infinity becomes invalid. In this sense infinity is not a number.

(As a side note, I do not believe 1/0 = ∞, but the limit as x approaches 0+ of 1/x is infinity. 1/(really small number) = really big number)

I have to say a lot of this argument over whether infinity is a number or not is just semantics.  In any cases where mathematicians are trying to use ∞ as a number, it is probably shorthand meaning for "a really really really big number."

[edit] Also, I have always defined an 'infinite set' as a set that is not finite - meaning its cardinality cannot be represented by a whole number (0, 1, 2, ...).  Things that are described as infinite can be described analogously.
« Last Edit: August 07, 2008, 12:49:47 PM by platypus »

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madchad

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Re: Is infinity a number?
« Reply #62 on: August 14, 2008, 12:31:21 PM »
Yes. Infinity is a number.

Here's the math:  infinity=1 gazillion

NYA!
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Guessed

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Re: Is infinity a number?
« Reply #63 on: August 14, 2008, 12:44:15 PM »
Reported for trolling a serious thread.
Is Dino open source?

Quote from: grogberries


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Parsifal

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Re: Is infinity a number?
« Reply #64 on: August 14, 2008, 12:55:36 PM »
I'm going to side with the white supremacists.

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madchad

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Re: Is infinity a number?
« Reply #65 on: August 15, 2008, 01:02:49 AM »
Reported for trolling a serious thread.

I was making a point. The number 1 gazillion doesn't exist because infinity cannot exist as a number. Maybe as ALL numbers, but as soon as you define the number you lose definition as infinity.

Do you understand now you savage fool?

I accept your apology.

NYA!
God hates us all. I hate you more!

Re: Is infinity a number?
« Reply #66 on: August 15, 2008, 01:05:22 AM »
Reported for trolling a serious thread.

really??

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madchad

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Re: Is infinity a number?
« Reply #67 on: August 15, 2008, 01:16:53 AM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!
God hates us all. I hate you more!

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madchad

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Re: Is infinity a number?
« Reply #68 on: August 15, 2008, 01:17:29 AM »
Hell I can do this all day.
God hates us all. I hate you more!

Re: Is infinity a number?
« Reply #69 on: August 15, 2008, 01:52:36 AM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!

What would infinity +1 = ?

Re: Is infinity a number?
« Reply #70 on: August 15, 2008, 02:06:41 AM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!

What would infinity +1 = ?

impossible, because infinity isnt a number

Re: Is infinity a number?
« Reply #71 on: August 15, 2008, 02:08:36 AM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!

What would infinity +1 = ?

impossible, because infinity isnt a number

Says who?

Re: Is infinity a number?
« Reply #72 on: August 15, 2008, 02:12:00 AM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!

What would infinity +1 = ?

impossible, because infinity isnt a number

Says who?

laws of math

Re: Is infinity a number?
« Reply #73 on: August 15, 2008, 02:48:22 AM »
Allow me to enlighten you schmucks,

Infinity, in itself, is not a number because it has no value. It is a modifier, it explains how many numbers there are, endless. It is the same as saying a bunch +1 or a lot +1, it would be impossible because there is no set value for a bunch or a lot. 1 is a number because it has an absolute value of one unit and you can add or take away units to/from it. Infinity is not a set of numbers because in order to have a set, there must be a defined end, which infinity does not have. So, the case is solved, infinity is not a number.

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Re: Is infinity a number?
« Reply #74 on: August 15, 2008, 07:06:26 AM »
owned
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New Flat Earth FAQ: http://theflatearthsociety.org/forum/index.php?topic=30512.0

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lanman71

Re: Is infinity a number?
« Reply #75 on: August 15, 2008, 07:57:55 AM »
Allow me to enlighten you schmucks,

Infinity, in itself, is not a number because it has no value. It is a modifier, it explains how many numbers there are, endless. It is the same as saying a bunch +1 or a lot +1, it would be impossible because there is no set value for a bunch or a lot. 1 is a number because it has an absolute value of one unit and you can add or take away units to/from it. Infinity is not a set of numbers because in order to have a set, there must be a defined end, which infinity does not have. So, the case is solved, infinity is not a number.

Infinity...pfft. Let's get into aleph 2 talk.

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narcberry

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Re: Is infinity a number?
« Reply #76 on: August 15, 2008, 10:11:37 PM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!

What would infinity +1 = ?

It would be included in 1.

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madchad

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Re: Is infinity a number?
« Reply #77 on: August 16, 2008, 12:30:00 PM »
Maybe infinity can be defined in binary.

0=absolute nothing
1=absolute everything

NYA!

What would infinity +1 = ?

It would be included in 1.

NYA!
God hates us all. I hate you more!

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Jack

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Re: Is infinity a number?
« Reply #78 on: August 16, 2008, 11:48:25 PM »
What would infinity +1 = ?
Infinity + 1

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WardoggKC130FE

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Re: Is infinity a number?
« Reply #79 on: August 17, 2008, 01:23:01 AM »
Is infinity +2 bigger than infinity +1?

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Wendy

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Re: Is infinity a number?
« Reply #80 on: August 17, 2008, 09:19:12 AM »
Is infinity +2 bigger than infinity +1?

No. infinity+1 is either infinity or undefined.
Here's an explanation for ya. Lurk moar. Every single point you brought up has been posted, reposted, debated and debunked. There is a search function on this forum, and it is very easy to use.

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beast

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Re: Is infinity a number?
« Reply #81 on: August 17, 2008, 11:57:12 PM »
Actually infinity +2 must be bigger than infinity +1.  Note that both these numbers aren't real, but logically the first is definitely still bigger (1 bigger).

Re: Is infinity a number?
« Reply #82 on: August 18, 2008, 12:49:38 AM »
Actually infinity +2 must be bigger than infinity +1.  Note that both these numbers aren't real, but logically the first is definitely still bigger (1 bigger).
How about infinity0
Only 2 things are infinite the universe and human stupidity, but I am not sure about the former.

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Parsifal

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Re: Is infinity a number?
« Reply #83 on: August 18, 2008, 04:47:32 AM »
I'm going to side with the white supremacists.

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beast

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Re: Is infinity a number?
« Reply #84 on: August 18, 2008, 06:53:56 PM »
How about infinity0
[/quote]

=1

also infinity/infinity = 1. 

(Infinity+2)-(infinity+1)=1

The laws of mathematics still apply to hypothetical numbers.

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Parsifal

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Re: Is infinity a number?
« Reply #85 on: August 19, 2008, 03:12:24 AM »
=1

also infinity/infinity = 1. 

(Infinity+2)-(infinity+1)=1

The laws of mathematics still apply to hypothetical numbers.

That's not entirely correct. It all depends on the limit being evaluated; that is to say, how one arrives at the value of infinity. limx→∞ ex is not the same thing as limx→0+ 1/x.
I'm going to side with the white supremacists.

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narcberry

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Re: Is infinity a number?
« Reply #86 on: August 19, 2008, 08:29:48 PM »
Actually infinity +2 must be bigger than infinity +1.  Note that both these numbers aren't real, but logically the first is definitely still bigger (1 bigger).

Wrong. However, infinity x2 is bigger than infinity x1, assuming they are the same infinity.

Re: Is infinity a number?
« Reply #87 on: October 30, 2008, 10:01:42 PM »
Infinity is not a number otherwise it is not infinite.
« Last Edit: October 30, 2008, 10:06:48 PM by HisName »

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Raist

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Re: Is infinity a number?
« Reply #88 on: October 30, 2008, 10:08:07 PM »
what about limx ->∞x?

Re: Is infinity a number?
« Reply #89 on: October 30, 2008, 10:09:28 PM »
what about limx ->∞x?
that equals 1