That is exactly what i am arguing, you are saying that an infinitely small number cant exist.Quote:
Originally Posted by yasunobu13
right?
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That is exactly what i am arguing, you are saying that an infinitely small number cant exist.Quote:
Originally Posted by yasunobu13
right?
i got the same thing as ihoss when i ran it.
yep. the code should have been:Quote:
Originally Posted by yasunobu13
Code:for (var i = 1; i>0; i*10) {
gap = 1/i;
if (gap==0) {
trace("999... = 1");
}
}
Honestly i don't know, don't care, and no amount of earth math is going to convince me that any number other than 1 is equal to 1.
I am out of time to be bored enough to go on about this any more.
what about 2/2 http://ihoss.not-a-blog.com/images/smilies/haha.gif
It's pretty sad that no amount of math will convince you of simple mathematical concepts like two numbers can equal each other.Quote:
Originally Posted by random25
It's pretty sad that primitive human conceived math will convince you that two different numbers can equal the same exact amount.
And now that i am on my lunch break i will paypal $1 to anyone that can prove to me that i actually exist.
Well what's a number, anyways? It's a human deriveration. Singularity is a human concept meant to break down the world (as a whole) we live in. Everything's interconnected in some way, eventually lead back to its conception.Quote:
Originally Posted by random25
As far as proving if you exist, you don't. Since everything is the byproduct of a greater product, without classification, you're, in essence, part of a singular entity that derived from nothing.
You are classified as an individual. That gives validity to your existence. The same applies to a number between 1 and .9999. Just because we haven't classified its existence doesn't mean it doesn't exist.
What we're dealing with here, though, is a set of conflicting views of infinity. And a misconception of mathematical limits. If we limit a convergent row to infinity, the answer of the summation is in fact a finite, and very real answer. What most of the 'disbelievers' do, I suppose, is that infinity, or in this case 0.(9), is to make an imaginary link between infinity and time, i.e. continually adding another 9 to the already really long list of nines. The point is though that there is no time connected, at every moment there are an equal amount of nines after the decimal point (an infinite amount).
0.(9) isn't a point on the line between 0 --- 1 that gradually keeps going more and more to the right, it is already at the absolute right point, i.e. 1.
On the notion that mathematics are flawed: yes, there are many irregularities. For instance, there are a couple of regular discrete functions that cannot be derived. I'll have to dig into the library to find examples, but they exist. But for the most part, mathematics work. And in fact mathematics work quite aptly in the whole 0.(9) = 1 debacle. We hold ourselves to a set of axioms, by which our mathematical system works. To say that mathematics are flawed because you cannot grasp the concept of infinity (which, in fact, does exist in our galaxy, unlike Subway claims) is silly.
God, what a geeky thread. I love it. :)Quote:
Originally Posted by adit_ya_sharma
Just started taking a class on propositional/predicate logic as part of my pre-reqs for a masters in CS, so all this talk of proofs etc. is like being trapped in one of those nightmares where you show up to an exam and you haven't studied (and yes, I am naked).
I think the way to solve this out is to realize that the symbol 1 is actually a representative of a concept, not an object in and of itself: its existence comes only through its application. There is no "1," only "1 paperclip." When used in mathematical formulas, it is actually a variable representing an object with that property "1".
Therefore, we should compute equivalence in the case as being the state in which two variable carry the same value within a function, not if they are comprised of the same form (which is what the first proofs prove). As with any variable, it is possible for x and y to carry the same value within a function without disproving each other's existence, is it not?
Can an expression be written where F(1) != F(.9999...)? If so, then it is false. Otherwise this is indeed <whips out text book, flips though pages> a tautology.
Its nothing to do with time, it is about the amount of digits in the number.Quote:
Originally Posted by wouter999
Its not just a long list of nines it is a never ending list of nines.
Where? If you think quantum mechanics is a reality, and quantum mechanics is currently the most proven theory, than there simply can't be anything infinite as there's a smallest possible unit while at the same time entropy makes it impossible for you to get more energy than what's already there and the limit of speed will always limit your maximum lengths, so you get always a finite amount of whatever you look at. Well, you could say that there's no end to time, but time is an illusion anyway, only moments exist.Quote:
Originally Posted by wouter999
Fredi
1 / 2 = .5 * 2 = 1
1 / 3 = .333~ * 3 = 1
1 / 4 = .25 * 4 = 1
1 / 5 = .2 * 5 = 1
1 / 6 = 0.16666666666666666666666666666667 * 6 = 1
1 / 7 = 0.14285714285714285714285714285714 * 7 = 1
1 / 8 = 1.25 * 8 = 1
1 / 9 = 0.11111111111111111111111111111111~ * 9 = 1
1 / 10 = .1 * 10 = 1
the same issue comes up at 1/9.
way too much math for a coffee lounge IMO...
:p
Well, I've asked random four or five times now, but he still refuses to respond.
"What are your problems with the proofs at the beginning of the thread anyway?"
Anyone who still thinks 0.999... does not equal 1, then you have a simple task in front of you. Two proofs that show 0.999... = 1 are at the beginning of the thread. If they are flawed, then you should be able to point out the flaw in both of them. If they aren't flawed, then 0.999... = 1.
You talk as if the speed of light is a proven fact. Sure Einstein was super smart but then explain to me how gps would work using Einstein's theory. It doesn't, instead scientists have to use a different theory (of which I've forgotten the name) which came out a bit before Einstein's theory of relativity. Until we come out with a theory that can be use to explain everything then nothing should be taken as fact because in this other theory, the speed of light is not the cosmic speed barrier. It's just another issue dealing with infinity. Something about when you approach the speed of light your energy increases to infinity or something like that. So you can't say that there is no infinity when your claim includes infinity in it.Quote:
Originally Posted by Subway
I was under the impression that 1 = 1. and .999... = .999...
Or at least this is to be assumed for every-day math.
It approaches the speed of light, but it's never at exactly the speed of light as long as you use finite energy and as you don't have infinite energy, you never have to deal with infinity.Quote:
Originally Posted by swak
Fredi
1/3=.333~Quote:
Originally Posted by ViRGo_RK
2/3=.666~
3/3=.999~
3/3=1
so .999~ == 1