It's not a matter of, 'Oh, since it's a small thing it shouldn't matter.' In terms of a scientific probability, maybe that's true. But math IS an exact science. It deals in absolutes.
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It's not a matter of, 'Oh, since it's a small thing it shouldn't matter.' In terms of a scientific probability, maybe that's true. But math IS an exact science. It deals in absolutes.
Sorry, but that isn't the Heisenberg principle. I think your misunderstanding the EPR paradox.Quote:
Originally Posted by UM
You mean Einstein.Quote:
Originally Posted by UM
Quantum Mechanics says that energy comes in packets of energy, it says nothing about mattter not being infinitely divisible.Quote:
Originally Posted by UM
Quantum Mechanics is the most tested theory in science, it has tons of evidence and its predictions have been successfully confirmined to crazy degrees of accuracy.Quote:
Originally Posted by UM
I didn't say it was the Heisenberg principle. You misunderstood my long list of quantum theories I think are very questionable.
No, I mean Hawking. Einstein said, "God does not play dice." Hawking said, "God does play dice."
It says that matter can be broken down into energy waves which are not composed of matter.
Some of its predictions. But I will bet everything I own that the universe is 100% deterministic and that human minds are miniscule in the overall scheme of the universe. I would bet half of what I own that matter is infinitely divisible.
Human intuition could well be completely useless when it comes to whether the universe is deterministic or not, because our brains are built for understanding the macroscopic world, which is not inherently probabilistic.
No, it doesn't.
They are the same number becuase they have the same value and are in the same place on a number line.
Again, no borders. The rectangle has been labelled twice. There is nothing "on the other side" of infinity. You don't have an argument at all.
My argument isn't circular, anyway. Several proofs have been produced. They are the same. There's nothing to dissect, again. Do you even know what you're talking about?
Two numbers are the same number-- equal-- when they are on the same place on the number line. i.e. .9... and 1. There's nothing more to it.
All you've done is ask why they are. Look at the proofs. I know you aren't countering it. That's why I'm explaining it :?
You're pretty rude, btw. If you don't want an answer, then don't ask for one.
No it doesn't...?Quote:
The way the number is written suggests that there is something on the other side of infinity.
Infinity can never be "reached" because it is a concept of an unreachable number. Therefore the only thing that can be behind it is itself.
Quote, please? I haven't read most of this thread. Just your posts.Quote:
Okay, you are definitely trolling. You are repeating Drew's argument that was already thoroughly covered.
But it isn't paradoxical.Quote:
The rest of your post is about countering the claim that the two numbers are not equal, and I have thoroughly and repeatedly explained that I am not taking issue with the claim that the numbers are equal except to point out the paradoxical nature of the fact while agreeing that it is a fact.
You still aren't getting it. The only way to explain this is by demonstrating that it isn't, which is the same as demonstrating that they are the same.
Again, 1 and .9... are the same number. There isn't anything paradoxical about this because they occupy the same place on the number line.
Think aobut it this way.
.9... is the decimal form of the value '1' and '1' is the fractional form.
Paradox disappears pretty fast, right?
And what's with all the ad homeneim attacks?Quote:
Please do something with your life. Thanks.
Grow up, man.
Oh, what a very witty and clever way to dismiss my post. I wish I was as smart as you! :3
You still haven't explained this paradox, so obviously I can't explain much mor eto you...
All you've given me is that '.9... proves there is something beyond infinity' which is nonsensical.
You haven't explained how that is. .9... is a number. Infinity is never reached, and definitely not passed...
So, what the hell are you talking about?
Okay...
That's not a paradox.
.9... doesn't reach one.
It just represents the same value. We've been over this... Numbers aren't physical objects. They only exist in theory. What is the exact problem with .9... and 1 representing the same number?
You haven't explained this.
Yes, but no.
Numbers are thoeretical concepts that represent OTHER theoretical concepts called values. That's why numerical operations have several different ways of writing the same answer number down.
That way you can have two 'numbers' that are different, but both still represent the same value.
Again, think of .9... as the decumal form of the Value '1' and the number 1 the fractional form.
1/1 = .9... = 1
.9... is just another way of writing 1, because they both stand for the same value.
There really isn't anything else you can add to this. As long as it holds in math, then it's true. There aren't any other ways of showing this that I can think of other than what Xei said: numbers aren't processes, they just exist.
Yes, I understand what you are saying, but no, that isn't a paradox.
I like to not post inflated sentences like this, so I shorten them.
Anyway, care to address anything in my last post?
How is, "Yes, but no," not a paradox? It is the epitome of paradox, exactly what defines paradox.
You said a bunch of stuff to keep arguing that 0.999... and 1 are the same number. I agree with that, so there is nothing to debate there. That is the last time I am going to say it. If you make the point again, all you get in return are troll pictures.
When you have two clauses in a sentence, one answer followed by another refers to each clause in descending order.
Learn 2 english.
What I said was, I should have said "Yes, I understand what you are saying, but no, that isn't a paradox."
:doh:Quote:
You said a bunch of stuff to keep arguing that 0.999... and 1 are the same number. I agree with that, so there is nothing to debate there. That is the last time I am going to say it. If you make the point again, all you get in return are troll pictures.
So then what is your point?
They are the same number, because they represent the same value, not because there is something 'beyond' infinity, or that infinity can be reached.
You seem to be missing a point.
You should have been more vague. :roll: "Yes, but no," is the point I have been making this entire time. Yes, the two numbers are the same, but no, none of the 9's could ever possibly reach 1, so it is a paradox that the numbers are the same.
You know what? That is the last fucking time I am going to explain that. If you or anybody else really wants to understand it, meditate on it, practice koan rituals on it, and have lucid dreams on it until you finally get it. Good luck with that.
Wow, the irony.
That the walrus was Paul. Goo goo ga joob.
So they represent the same value because they represent the same value, therefore it is not paradoxical that they represent the same value since they represent the same value. Awesome resolution.
'Reach 1' => Verb => Process
It's not a bloody process, how many times?
I tried to say that earlier... People keep insisting that it is like 9s just kept adding on in the next step like an assamtote. Apparently they can't understand that the number inherently has infinite zeros.
A person who is 5'll' does not reach the level of 6'. It is not about process. It is about state.
From one 9 to another, there is an extra 9, every time.
What has infinite 0's?
It is amazing that you kids get beligerant about a topic like this. Grow the fuck up.
UM, you have, by far and I believe many people can agree, have been one of the largest instigators causing this thread to digress into name calling.
Lets just all agree that UM doesn't get Maths.Quote:
Originally Posted by Spockman
Every natural number. For example, 1.00000000000000000000000..... has infinite 0's.Quote:
Originally Posted by UM
I have noticed that topics like the above always get nasty. I think its because there is always someone that can't understand why its true or that it's true.
Instigator? That is just flat out false. I insulted back, but I did not initiate any of it. Stop lying.
Let's all agree that you are a dishonest moron who can't spell and who talks about math without knowing what on Earth you are talking about.
I was responding to the point that 0.999... has infinite 0's. It has infinite 0's before the decimal, but not after it, which is what we were discussing. Do you understand math?
It's because people like you put more energy into showing what assholes you are than you put into exploring deep issues, being fascinated with them, and having interesting conversations in a decent way. Your assholishness greatly exceeds your intellect, and that is a recipe for dysfunctional conversation.
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Instigator? That is just flat out false. I insulted back, but I did not initiate any of it. Stop lying.
Quote:
Let's all agree that you are a dishonest moron who can't spell and who talks about math without knowing what on Earth you are talking about... Your assholishness greatly exceeds your intellect, and that is a recipe for dysfunctional conversation.
Uh. ._.Quote:
Grow the fuck up.
No you weren't. What are you talking about? spockman hadn't even thoroughly explained what he meant yet; I understood him to mean what wendy said.Quote:
I was responding to the point that 0.999... has infinite 0's. It has infinite 0's before the decimal, but not after it, which is what we were discussing. Do you understand math?