Mathematicians read this entry
Writing about web page http://www.guardian.co.uk/Columnists/Column/0,,1803028,00.html
The webpage above is a fairly simple article in the Guardian about why 0.9 recurring is equal to 1. The good bit is the comments below.
A few samples:
OK if .99 is equal to one, give her teacher 99 pounds (GBP) and get her to give you 100, not an infinite number of times, but a million will do nicely.
You need to find a better maths teacher. "Another way of proving this, suggested by my daughter's maths teacher, is this. Think of two numbers, x=0.9 recurring and y=1 Can you think of a number that is higher than x but less than y? No, you can't." Yes, I can. x + (y–x) Teachers eh?
All a bit of bollocks really – as usual, when you get what looks like a paradox, it's because your starting conditions are incorrect – in this case it's because infinitely recurring numbers don't actually exist.
I for one will take Mr PikeBishop’s common sense mathmatics over any amount of pointy headed clatrap from some four–eyes who’s probably working on a thesis about “lesbian algebra” (grant aided no doubt).
Isn't maths great?! I like how this discussion stayed on topic & relatively rhetoric free!
Rhetoric free, until you remember how the genocidal and racist policies of Israel are denying all those innocent Palestinian children the chance to learn anything about maths at all!
Tallisker, Wikipedia Schmickipedia, I’m sorry but I simply don’t approve of any of this “fannying about” with our British numbers. In the world of business one plus one equals two and we seem to get along well enough. Now maybe I don’t have a degree–level course in formal logic and set theory, but I know how many beans make five!
The industrial revolution was based on sleeves up gumption, not the latest fashionable nonsense. Oh and by the way I think you'll find that the calculus wasn't invented till 1972, by an Englishman as it happens, although I suppose we're not meant to take pride in our country's achievements these days.
Dude, calculus is not the "latest fashionable nonsense", it is there since the ancient greeks…
Mathematics is a discipline which is centrally concerned with the pure logical examination and definition of concepts. The mere fact that it is mathematically sensible to separately describe 0.9 recurring and 1 prove that they are different.
And most surreal of all…
So I will have to just accept that we have agreed to differ – you at ground level with only a coloring book to your name, peering into crevices, and I, in a box on the shoulders of Robert Hooke with a vast array of luminescent and florescent crayons but (I think you implied) not knowing where I put my spectacles. I can only claim that it might appear so from way down there but . . .