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Originally posted by XtraTL
reply to post by djeminy
I'm not sure what is so special about the facts you quote that they should not be taught in Universities. We teach them pretty well at the University I am at.
All of the facts are trivialities to do with the decimal expansion of rational numbers. If you google it, you will find it is not a secret, and certainly taught at many Universities.
Or maybe you think that you can patent the actual numbers you have in your list, and then universities won't be able to teach about them.
(As a friend of mine jokes, "there are many copyright and illegal whole numbers".)
We may just have to agree to disagree. Your proofs aren't proving anything, and although I think mine are pretty good, you are stubborn enough not to move your position
It is not that I don't get the concept of infinity, it is that you say infinity cannot be reached. I say it can. I do not know how, or when but it must exist somewhere at sometime, perhaps at all time. BUT, that must mean we can treat it as a plane, no? Try proving to me that 0 exists--it too is a concept that many people mistreat and misunderstand.
Well this may be a horrible example, but remember, we are dealing with indeterminates. So let us say that 1/0=∞. It is a vertical line and has a slope, also of some undefined amount. But then, rearrange the equation and you get 1/∞=0. Unless you would like to dispute this by saying 1/0 equals 1(0r). That is among the same principle you are using
don't think he is confused at all, I think that must be you. Or perhaps a little bit of everyone, myself included. You keep saying ∞ is not a number so don't treat it like one. So you cannot conclude 1=2 by this logic. We are saying that you cannot treat ∞ as a number either, but yet you can still use it in some numerical sense like 1/∞=0. Now here is a question for you... You say that 1/∞=.0r1, right? Then obviously 2/∞=.0r2? Or do you keep true to your sense of ∞ here and say that 2/∞=.0r1 in which case, you are saying 2=1.
Originally posted by s12345
No 1/0 is just undefined on your calculator in actual fact in mathematics it is infinity as 0 goes an infinite amount of times into 1, or any other number for that fact.
0/anything is 0.edit on 19-3-2012 by s12345 because: (no reason given)
1/x has an asymptote at zero because the value of x can never actually be infinity.
If you do not know what you are talking about please do not confuse the discussion.
Infinity is not a number.
Mathematics is based on formal rules that govern the subject. When a list of formal rules applies to a type of object (e.g., "a number") those rules must always apply — no exceptions!
What makes infinity different is this: "there is no number greater than infinity". You can write down the formula in a lot of different ways, but here's one way: 1 + infinity = infinity . If you add one to infinity, you still have infinity; you don't have a bigger number. If you believe that, then infinity is not a number.
Since infinity does not follow the rules laid down for numbers, it cannot be a number.
There is no such point to where you can not divide it further in math theory.
In reality, it depends on what you are talking about...and in reality things are finite, not infinite.
Originally posted by OccamAssassin
reply to post by MeesterB
Does 0.9r = 1 ?