A question of numbers (one for the maths fans)

When is 1, objective?

Not when you unfold it.

actually in this case Rat all "..." means is that the digit is repeated indefinitely. So 9.999... - 0.999... actually is a valid notation.

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Aslan is not a Tame Lion

I don't have a problem with god's existence as a subjective concept. that would amount to refusing to even accept sentences with the word god as being meaningfull ,like (statement: I believe in god. anser: you make no sense). I don't think anybody would go that far. except that you do. you're like (statement: 9.999... -0.999... = 9 answer: your math makes no sense).

we all agree that the symbol for one, 1, stands for there being one item, object, whatever. Like when you're a kid, and the elementary teacher in the first grade teaches you how to add by using boxes. You have three boxes. Add two boxes. You now have five boxes. That's how one is objective. In fact, the whole number system is objective. Try looking at Galileo's paradox, which I posted just a short while ago. Totally objective--you can't escape the logic inherent in math.

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All a man's knowledge comes from his experiences

Then a circle becomes a line. But so long as it's a circle, it goes on for forever.

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All a man's knowledge comes from his experiences

Why would that be a problem? Π for instance is a way of representing a never ending never repeating number with a finite symbol. do you see a problem with that?Edited by fallacycop, : No reason given.

I understand it, really I do. It's a way of looking at it.But I don't completely agree with it.My reasoning is, that if a number never ends in an equation, then you can't logically get to the next number. Taking an finite symbol to "represent" infinity is taking a huge risk, and a leap of faith. It works in the formulas, but is it really correct?I have seen people reason away 2+2=4, why can't what I am saying have some validity to it?I think that is why infinity is looked upon as a concept. There seems to be a lot of debate about it, even in wikipedia.What is the square root of 0.999... ? Is it 1? The square root of 1 is 1.Edited by riVeRraT, : No reason given.

choosing to use the number to represent a distance is completely besides the point here. we are talking about pure math here.

All that means is the pie can never be fully resolved in a 10 based number system. That doesn't mean that Π can't be resolved.For practicle purposes, say like in construction, 3.141 is good enough to build even the tallest building.But what if we are trying to calculate something on the other side of the universe? The next universe?

No, jar was talking about parellel lines meeting.

Just because you can pick any point to start and stop, doesn't mean it goes on forever. Eventually you go over yourself.If it went on forever, then you could take an infinite line and make any size circle out of it. But if you travel down an infinate line, you never go over it twice.

On my Ti-86, the square root of 0.999999999999 (at which point the calculator recognizes that the number is forever repeating), it is 1. However, it refuses to turn the same number into 1 when asked to turn the number into a fraction.

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All a man's knowledge comes from his experiences

There may very well be a point to what you are saying. But if there is, you have not made it yet. where is the beef of your logic? we say that 1.0 is a way of representing a number, and that 0.999... is another way of representing that same number. Just as 1/3 is a way of representing a number a and 0.333... is another way of representing the same number. you seem to have objections to the former but not to the latter. why is that?

let's take this number. 3.12341234123412341234123412341234123412341234 ad infinitem.
let's subtract it by 1.23352335233523352335233523352335233523352335233523352335 ad infitem.Or, we can just write it as 3.1234 - 1.2335, and write the repeat symbol over it.So it's 1.8899, with the 8899 having an (overscore?) written over it.
Nothign logically wrong with it. I mean, after all, 1 is really just 1.000000000000000000000000000000000000000000000 ad infitem, and zero is recognized as a number, right?

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All a man's knowledge comes from his experiences