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# .999... is equal to 1

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 Voting Style: Open Point System: 7 Point Started: 9/18/2008 Category: Science Updated: 8 years ago Status: Post Voting Period Viewed: 3,101 times Debate No: 5431
Debate Rounds (3)

17 comments have been posted on this debate. Showing 1 through 10 records.
Posted by jmlandf 9 years ago
Well I'm not changing it. I was propossing it as a hypothetical way to argue or possibly one contention not the entirety of the debate. I even make reference in the debate it is about a theoritical number closest to 1 and if you'd like you could quote it to combat the .777... or .888... because they are all the same concept. It is just one argument for the resolution. I must, in the debate context, defend my position with all possible arguments.
Posted by Biowza 9 years ago
Man jmlandf, you need to learn how to debate with semantics man. You don't change the debate in the middle, because you say you weren't clear. A proper semantics debate is a play on words or a careful disection of the resolution, you're just saying 'I was unclear in the resolution, so here is a new one'.
Posted by Lightkeeper 9 years ago
Hmmm... Not sure where you get the "0.888" (decimal). I thought the argument was about 0.999...
If you want to argue that your original proposition that 0.999... is not equal to 1 was not based on a DECIMAL number 0.999.... then go for it. I suggest you will have difficulties and it will look like a cheap cop-out. It may look like you deliberately ommitted to specify what system you are using in your original proposition. I dare say that, in absence of any specific stipulation to the contrary, any number expressed (orally or in writing) in today's society (anywhere in the world) will be assumed to be an expression in the decimal system.
Posted by jmlandf 9 years ago
Yes but .888... (decimal) does not equal 1 and the debate does not define whether the .999... is actually being reported via decimal (10 base). Could I not argue that .999... does not equal one solely on this ground as no mention is made in the Definitions or Resolution that base 10 is used when expressing the decimal.
Posted by Lightkeeper 9 years ago
Yes, if the resolution was "0.777... in octal = 1 in octal" it would still be valid, as per my proof below (see my previous post)

I mentioned octal because you mentioned octal in your debate when dealing with different number systems. What I have posted below shows proof that 0.99.... (decimal), if expressed in octal (0.77...) still equals ONE.

To an extent you are right... 0.999... equalling ONE is a result of the decimal system. But so what? The proposition you are arguing against is that the DECIMAL expression 0.99...recurring is equal to the DECIMAL expression "1".

You see, it so happens that 0.777... in octal is a similar represenation to 0.999.. in decimail. But even if the representation did not exist in octal, that would not negate the argument that 0.999... rec in Decimal is equal to 1 in decimal.
Posted by jmlandf 9 years ago
If the resolution said x=.777... would that be valid? Notice you mentioned the octal, because you felt it was a requirement for x-.777... to be valid. At the very least you should vote for me because no mention of base 10 is made, perhaps I intended to start the debate with base (octal), in which case .999... doesn't even come close to equaling 10. In fact .999... only comes close to equaling 1 in one of the infinite numbering systems that could be used.
Posted by Lightkeeper 9 years ago
x=0.7777...
8x=7.7777...
8x-x=7
7x=7
x=1

Isn't this how it looks in Octal?
Posted by knick-knack 9 years ago
How many of these debates are there going to be?
Posted by TheSkeptic 9 years ago
Haha I can't believe he even started this debate.
Posted by Lightkeeper 9 years ago
*points at Biowza*
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