.99999999 infinity = 1?

[Wraithlike]

Anyone that argues that .9999... is not equal has no knowledge of modern mathematics. Ask any professer, math teacher, etc, and they will say you are wrong. It' a matter of simple fractions people.

[Commander Kitsune]

Math is something humans made up. Humans aren't perfect, thus making math not perfect. Math is very weird. Even though I don't like to beleive that .999 =1 I do. if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1. To me .999 =1 or not by depending on WHO does the math.

[Mistercharles]

It's fun to watch nerds argue :>

[Commander Kitsune]

^And it's fun to be called a nerd. I <3 ASTROPHYSICS. Not physics, normal physics suck.

But still, if if you did graph .999 technically it should never equal 1. Oh and just to be a total pain, Wikipedia is not being called a credible source now chrisgbk.

[n00bface]

Math is something humans made up. Humans aren't perfect, thus making math not perfect. Math is very weird. Even though I don't like to beleive that .999 =1 I do. if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1. To me .999 =1 or not by depending on WHO does the math.

This guy wins the thread.  The first part was pretty dumb, but this part

if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1.

solves the thread.

[Mistercharles]

^Thank you nubface. Problem solved gais.

[Omri143]

Blargh. Stop saying .999 doesn't equal 1. This thread isn't even about the number 0.999, it's about the repeating decimal 0.999... - the two are COMPLETELY different numbers. And as I've said again and again, it's equal to one very clearly from the very definition of the ... notation.

Math is something humans made up.

And math is a beautiful and elegant representation and analysis useful to and applicable to many things in nature

You'd be surprised how much certain mathematical concepts that SEEM abstract (calculus, physical constants, even prime numbers) apply to naturally occuring phenomena.

[Wraithlike]

Math is something humans made up. Humans aren't perfect, thus making math not perfect. Math is very weird. Even though I don't like to beleive that .999 =1 I do. if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1. To me .999 =1 or not by depending on WHO does the math.

This guy wins the thread. � The first part was pretty dumb, but this part

Actually, if humans also made up the concept of perfection, and if human aren't perfect then perfection isn't perfect , and you've found yourself a paradox. And is now impossible to say whether or not anything is perfect.

BUT, if humans are perfect, then perfection is perfect and math is perfect, but this would also mean that, being perfect, anything a human states as true is true and states as untrue is untrue, and people contradict eachother all the time, so you have another paradox.

But, the concept behind math is not to be perfect, but to be true. It is what makes 1=1, 2=2 and so on. So unless something stated with math is proven wrong then it is true.

[mar77a]

Math is something humans made up. Humans aren't perfect, thus making math not perfect. Math is very weird. Even though I don't like to beleive that .999 =1 I do. if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1. To me .999 =1 or not by depending on WHO does the math.

Math wasn't invented, it's like saying the gravity was invented. Math is assigning characters to things and discovering the rules that govern them. Just like any cience!

[Smegma]

Math is assigning characters to things and discovering the rules that govern them.

But, in the end, that doesn't make it different from something being "invented" to something being discovered.

Actually, if humans also made up the concept of perfection, and if human aren't perfect then perfection isn't perfect , and you've found yourself a paradox. And is now impossible to say whether or not anything is perfect.

It wouldn't be a paradox, because you are assuming too much.

[Nfsjunkie91]

.999 recurring/repeating/whatever is .999 recurring/repeating/whatever. 1 is 1. .999 recurring/repeating/whatever LOGICALLY! is not 1.

EDIT: Logic rocks.

[Swarmer]

Logic failed.

This is what you are saying:
Statement A:    .999... = .999...
Statement B:    1 = 1
Conclusion:      Therefore,  .999... is not 1

Now that's like saying this:
Statement A:    All ducks are ducks.
Statement B:    All birds are birds.
Conclusion:      Therefore, ducks are not birds.

There's no rule that says every number can only be written one way.
The number 1 can be written an infinte number of ways, such as:
1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....

[Camping_carl]

so bascally its a glitch in math and those sientists that decided pluto is not a planet any more have to decide it if .9999 = 1 or not?

[Swarmer]

No, it's not a glitch in math.  Math doesn't have glitches. 0.999... is exactly 1.  The people who disagree are wrong.  Plain and simple.  Read the proofs.  Ask your professor.  If he disagrees with me then stab him with a pen and tell those in charge to fire him.

[Nfsjunkie91]

Logic failed.

This is what you are saying:
Statement A:    .999... = .999...
Statement B:    1 = 1
Conclusion:      Therefore,  .999... is not 1

Now that's like saying this:
Statement A:    All ducks are ducks.
Statement B:    All birds are birds.
Conclusion:      Therefore, ducks are not birds.

There's no rule that says every number can only be written one way.
The number 1 can be written an infinte number of ways, such as:
1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....

We're not comparing apples to oranges here. It's more like different kinds of apples.

Red Apples are Red Apples
Green Apples are Green Apples
Therefore, Red Apples are not Green Apples

[Swarmer]

There's no rule that says every number can only be written one way.
The number 1 can be written an infinte number of ways, such as:
1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....

[Omri143]

Logic failed.

This is what you are saying:
Statement A: .999... = .999...
Statement B: 1 = 1
Conclusion: Therefore, .999... is not 1

Now that's like saying this:
Statement A: All ducks are ducks.
Statement B: All birds are birds.
Conclusion: Therefore, ducks are not birds.

There's no rule that says every number can only be written one way.
The number 1 can be written an infinte number of ways, such as:
1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....

We're not comparing apples to oranges here. It's more like different kinds of apples.

Red Apples are Red Apples
Green Apples are Green Apples
Therefore, Red Apples are not Green Apples

All numbers are greater than zero.

Proposed counterexample: You're wrong because -1 < 0.

You: No, no, 1 > 0, so I'm right.

Date Posted: November 06, 2006, 12:23:37 AMFor a more relevant example of Swarmer's point!

The multiplicative identity is the multiplicative identity.
One is one.
Therefore the multiplicative identity is not one.

Edit: Grammar.

[The Geologist]

We're not comparing apples to oranges here. It's more like different kinds of apples.

Red Apples are Red Apples
Green Apples are Green Apples
Therefore, Red Apples are not Green Apples

You do realize you're only aiding in proving Swarmers point, right?

It may not look like 0.9999~ is 1, but it is.  The proofs are out there, do the math for yourself, end of story.  Simple logical proofs like that really have no place in the arguement.

[VijchtiDoodah]

.999... is .999.... 1 is 1. .999... LOGICALLY! is not 1.

EDIT: Logic rocks.

Your logic fails, actually.  If a = c and b = d, it's still possible to have c = d.  However, if a = c and a =! d, you could say c =! d.

For instance, 2 x 2 = 4 and 5 - 1 = 4.  A = B = C = D.

You might not understand this because you don't have a good grasp of either infinity or limits.  The article chrisbk linked to has a very nice set of proofs that you'd understand, have a look at it.

[Nfsjunkie91]

I realize my logic fails, I'll check that link, and disregard any posts I made that state that .999~ != 1

EDIT: Hmmmmm, does 1.000~1 = 1 ?
>_>