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Is 1 = 0.9999......

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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)
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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.
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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.

 
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
 
It was resolved satisfactorily enough for me. Just because certain people can't seem to see logic...

🙂 😛
 
Originally posted by: gotsmack
so does .0000000000000000...1 = 0?
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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.
 
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.
 
Originally posted by: josphII
Originally posted by: gotsmack
so does .0000000000000000...1 = 0?
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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.
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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.
 
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. 🙂
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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.
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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.
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The bold statement is what this whole thread is about....wether you believe that statement or not.
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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.
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Infinite... in 3 dimensions...
 
Originally posted by: TuxDave
Hey Bleeb... you said if this thread reaches 1K, you'll change your mind right?
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Yeah I said I would state what I actually, really thought about it.

We are SO CLOSE!
 
Originally posted by: bleeb
Originally posted by: silverpig
Would someone please post some porn in this thread so as to force a lock?
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Please no flaming this thread.
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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.
 
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. 🙂
Click to expand...



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.
Click to expand...

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.
Click to expand...


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

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.
Click to expand...

Infinite... in 3 dimensions...
Click to expand...

Tou-che.
 
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?
Click to expand...

Please no flaming this thread.
Click to expand...

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.
Click to expand...

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.
 
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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