Is 1 = 0.9999......

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RossGr

Diamond Member
Jan 11, 2000
3,383
1
0
Originally posted by: Marshallj
Originally posted by: Kyteland
.9999.... on the other hand has an infinite length and the rules are debatable as to whether it is 1 or slightly less than 1 (as is so aptly proven in this thread)

It's not debatable. If it was equal to 1, the number would be stated as "1" and not ".99999...."

".9999...." is still always going to be less than one, although by how much is unclear.

You are correct on one count, it is not debateable. unfortunately you are incorrect .999... =1, it is a mathematical idenity, it can be shown in many different ways and there are several different mathematically sound proofs to back up the demonstrations.

Sorry man I have just dropped my estimation of the value of your posts.

 

ElFenix

Elite Member
Super Moderator
Mar 20, 2000
102,389
8,547
126
i see this was never resolved. a pity, since all those who disagree will die.
 

Eli

Super Moderator | Elite Member
Oct 9, 1999
50,419
8
81
So you're telling me that in almost 1k posts, it was never resolved?

It's math. It shouldn't be too hard to figure out. Afterall, math doesen't lie.

:Q
 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
It was resolved satisfactorily enough for me. Just because certain people can't seem to see logic...

 

josphII

Banned
Nov 24, 2001
1,490
0
0
Originally posted by: gotsmack
so does .0000000000000000...1 = 0?

0.0000...1 doesnt equal 0 because 0.0000....1 doesnt exist. how can you have an infinite string of 0's, and then a '1' after that? This violates the very principle of infinity.
 

beer

Lifer
Jun 27, 2000
11,169
1
0
There is a very obvious lack of calculus knowledge in this thread. I pity you all who just can't seem to understand it. Think of it like this:

I am one unit of distance between myself and a pie. I then move half the distance at even intervals. Without the concept of calculus and limits, I will never reach the pie. It's one of the great paradoxes that calculus can simplify and solve.
 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
Originally posted by: Mallow
will this thread never ever die!

When Fausto1 and M4H come in here and start running around without their pants on, then this thread may die.
 

MadRat

Lifer
Oct 14, 1999
11,965
278
126
Originally posted by: josphII
Originally posted by: gotsmack
so does .0000000000000000...1 = 0?

0.0000...1 doesnt equal 0 because 0.0000....1 doesnt exist. how can you have an infinite string of 0's, and then a '1' after that? This violates the very principle of infinity.

Whatever, dude. Infinity and void are abstract concepts devoid of limits and rational place holders. If infinity doesn't exist then you proved my point that 1<>.999... twenty pages back.
 

WinkOsmosis

Banned
Sep 18, 2002
13,990
1
0
Originally posted by: TuxDave
Originally posted by: SilentRunning
Originally posted by: TuxDave
Originally posted by: SilentRunning
Originally posted by: RSMemphis
Heh, heh... It really helps to have taken calculus. I always thought "no", until I did the proof myself.

Proof I liked even more: In the space of the real numbers, you can project all the numbers from negative to positive infinity to the span of negative to positive one (or any other two numbers), because between every rational number, there is an infinite number of real numbers.

Talk about headache - but once understood, the coolest thing evar.



If you took calculus you missed the most important point. It is about approximations. You chose a dx value that is so small that your answer will be approximately equal to the actual value you seek.

I thought once you choose a dx value infinitely small, the answer becomes the exact value you seek.

<edit> I bring as evidence, the derivative.

The creation of a derivative was picking two points infinitely close to each other, but our final answer should be the exact derivative, not an approximation.


The bold statement is what this whole thread is about....wether you believe that statement or not.

Perhaps there will never be an answer, like two types of number theory. Almost like how there's several forms of geometry all based on one question.

Given a point and line, how many lines can go through the point and never intersect the line.

Infinite... in 3 dimensions...
 

bleeb

Lifer
Feb 3, 2000
10,868
0
0
Originally posted by: TuxDave
Hey Bleeb... you said if this thread reaches 1K, you'll change your mind right?

Yeah I said I would state what I actually, really thought about it.

We are SO CLOSE!
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Originally posted by: bleeb
Originally posted by: silverpig
Would someone please post some porn in this thread so as to force a lock?

Please no flaming this thread.

This thread is just one big flame fest. Some people understand math, and some think they understand it. The people who think they understand it are talking out of their asses about things they can't prove and it is frustrating the people who understand mathematical processes.
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
Originally posted by: WinkOsmosis
Originally posted by: TuxDave
Originally posted by: SilentRunning
Originally posted by: TuxDave
Originally posted by: SilentRunning
Originally posted by: RSMemphis
Heh, heh... It really helps to have taken calculus. I always thought "no", until I did the proof myself.

Proof I liked even more: In the space of the real numbers, you can project all the numbers from negative to positive infinity to the span of negative to positive one (or any other two numbers), because between every rational number, there is an infinite number of real numbers.

Talk about headache - but once understood, the coolest thing evar.



If you took calculus you missed the most important point. It is about approximations. You chose a dx value that is so small that your answer will be approximately equal to the actual value you seek.

I thought once you choose a dx value infinitely small, the answer becomes the exact value you seek.

<edit> I bring as evidence, the derivative.

The creation of a derivative was picking two points infinitely close to each other, but our final answer should be the exact derivative, not an approximation.


The bold statement is what this whole thread is about....wether you believe that statement or not.

Perhaps there will never be an answer, like two types of number theory. Almost like how there's several forms of geometry all based on one question.

Given a point and line, how many lines can go through the point and never intersect the line.

Infinite... in 3 dimensions...

Tou-che.
 

bleeb

Lifer
Feb 3, 2000
10,868
0
0
Originally posted by: silverpig
Originally posted by: bleeb
Originally posted by: silverpig
Would someone please post some porn in this thread so as to force a lock?

Please no flaming this thread.

This thread is just one big flame fest. Some people understand math, and some think they understand it. The people who think they understand it are talking out of their asses about things they can't prove and it is frustrating the people who understand mathematical processes.

Even with people who are talking out of their azzes and the people who think they are wrong (and getting frustrated) only greater good can come from it. Only with such debating and output of ideas, no matter how far fetched the truth will be revealed.
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
Originally posted by: MartyTheManiak
1000th post. w00t.

Are we counting with the same number system? Or is that question gonna break out into another argument...
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
It has been revealed. Some just don't understand it. Besides, some internet nerds who know nothing of math are not going to advance our knowledge in said field.
 
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