- #1

- 78

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So, here goes...

(moderator's note: I've removed someone asserting that 0.999... is not equal to one, along with the followups)

decimals of fractions never accurately equal those fractions. for example .111111111111111...never fully equals 1/9 (which applies directly to a certain proof) but for practical purposes you can assume it does.

.999999.... never equals one. (i still find it hard to believe that saying that warrants an infraction). as the decimal points increase onto infinity the space between 1 and .9999... becomes smaller, but the two never do connect to equal the exact same number. there is an infinite number of spaces to which decimals can extend (as noted by pie), so there is no reason for .999999999.... ever to change to one.

you can argue that .9999999 REPRESENTS one in the language system you happen to be using, but .99999... will never actually equal one in real life.

let's say you want to count all of the entities (particles, doodads, whatever) in the universe in relation to the whole. we will represent the whole with 1. once you have accounted for every item within the universe, lets represent each such item with a 9 after the decimal point, you have counted the whole of it and achieved accounting for 1 universe. since the universe expands on forever, the actual ability to do such a thing does not exist. therefore you can continue on counting 9's in .99999... without ever actually achieving 1.

If you were to say otherwise you would have to also say that infinity is impossible, and ergo pie would be impossible (along with other things). as it is a fact that the 9's after the decimal point can go on into infinity it is also a fact that .999... never equals one except for practical purposes in which such fine details are not important.

and as for that argument by Hurkyl that i'm "spreading misinformation"

and spreading misinformation? so, you're saying that the losing party to any argument is "spreading misinformation"? how ever is one to have conversations on topics if one is to always be correct (i'm not saying i'm wrong by arguing this by the way), when being incorrect is "spreading misinformation"?

who is the owner of this forum? i would very much like to take this up with them.