Associate
- Joined
- 6 Oct 2004
- Posts
- 1,509
- Location
- Behind you!
Omicron said:Because your intuition leads you the wrong way. We aren't dealing with infinity in the sense that 0.9r is an infinite quantity. I don't think anyone would argue with the fact it's less than something like 1.1, and more than 0.
There are loads and loads of ideas in maths which deal with infinities. I don't know how old you are, but A Level students meet the idea of infinite sums when dealing with certain geometric series. If you include the idea of limits, you can derive integration which is the foundation of so much of engineering, maths and physics. Then in the opposite direction you've differentiation, dealing with things going to zero, and you've even more of maths, physics and engineering. Considering we design 100 story buildings, computers, planes, power stations, launch satellites and (try to ) predict the weather using those ideas based on the concept of infinity and completeness, obviously something is going right or we'd be unable to do those things.
If you're a pure mathematician, the kind which scare most sane people, you can even start talking about how there are infinitely many different infinities. Sounds crazy I know, but if you follow certain ideas to their logical conclusion, it's an indisputable fact, unless you dispute things like 1+1=2 and 1>0 which I think we can all agree on
If you want more reading on how we CAN deal with infinities, have a gander here
http://en.wikipedia.org/wiki/Countability
http://en.wikipedia.org/wiki/Aleph_number
http://en.wikipedia.org/wiki/Limit_(mathematics)
http://en.wikipedia.org/wiki/Completeness
I don't mean to sound rude, but it does seem terribly like you're just sticking with a preconceived notion you have about something which when you boil it down, you don't actually understand or know much about. I wouldn't pretend to know more than a professional programmer when it came to C, C++, Perl, VB or whatever because I've not learnt much about those things, so unless you're a mathematician by profession (or very least, degree, but then you wouldn't be making the errors you are) it's hard to make comments on material well estabilished in concrete and proven logic for at least 100 years.
Heh well frankly the links you've posted are too complicated for me. So I suppose you're right that my statements are based on assumptions. Nevertheless i'm too stubborn to give in that easily My assumptions are every bit as valid as anyone elses untill proven, and from what I've read there, no-ones proven 0.9 recurring equals 1.
Just to be difficult I will refuse to accept inifinity as a calculable number untill I see it proven before my eyes in understandable terms. Alternatively I would accpt proof that 0.9 recurring = 1 providing you use a formula that makes sense. But when i see a formula that makes a number equal to a compeltely different number alarm bells go off. Unless you can prove otherwise i would say that points to a mathematical error rather than a universal proof.
Last edited: