Originally posted by AlphaNumeric
Wow, 62% of the forum either don't know maths enough or are immune to logic. And I used to think people on here were bright........
Even more now.
Originally posted by AlphaNumeric
Wow, 62% of the forum either don't know maths enough or are immune to logic. And I used to think people on here were bright........
My faith in humanity is dropping as it rises I think.Originally posted by Crispy Pigeon
75% now.
With a logical argument like that, I can't beleive I didn't see it before! Can I change my vote to "No", now that I've read such airtight reasoning?Originally posted by FordPrefect
1 != 0.9999999999999r
0.9999999999999r = ~1 tho.
Originally posted by AlphaNumeric in 0.999r
Several Proofs*
1)
Okay, if its not 10, then there's a number between 9.9r and 10 surely? What is it I bet you can't think of one
2)
We all "know" 1/3 = 0.333333r
Multiple both sides by 3
1 = 0.999999r
3)
1-0.999... = 1 - 0.9 - 0.099... = 0.1 - 0.099...
1-0.999... = 1 - 0.99 - 0.009... = 0.01 - 0.009...
1-0.999... = 1 - 0.999 - 0.0009... = 0.001 - 0.0009...
and so on.
Since subtracting a positive quantity from a number makes it smaller, obviously:
0.1 - 0.099... < 0.1
0.01 - 0.009... < 0.01
etc.
Putting it together, we've got
1-0.999... < 0.1
1-0.999... < 0.01
1-0.999... < 0.001
and so on ad infinitum. So we see the first digit must be zero, the second digit must be zero, the third must be zero, and continuing in fact -- hence all digits must be zero. So we've established 1-0.999... = 0.000... = 0
But if 1-0.999...=0 , then we must have 1=0.999... -- at least if we want basic rules of algebra to hold.
4)
0.99... + 0.99... = ?
It's got to be either 1.99... or 2. So, either
0.99... + 0.99... = 1.99...
0.99... + 0.99... = 1 + 0.99...
0.99... = 1
or,
0.99... + 0.99... = 2
2*0.99... = 2*1
0.99... = 1
5)
1/9 = .11111....
2/9 = .22222....
3/9 = .33333....
....
8/9 = .88888....
9/9 = 1 = .99999....
6)
x = .9(repeat)
10*x=9.9(repeat)
10*x-x=9
x=1
7)
9+ 0.9 + 0.09 + 0.009 + .....
=
9/(1-0.1) = 9/0.9 = 10
(Gauss' Formula)
If you dispute these then I suggest you do a degree in maths. Without sounding smart arse (I'm drunk, I'm not going to sugar coat it) I'm clever than you at maths (you being 99.99999% of this forum) and take my word for it, 0.9r = 1
* Several being more than 5, and being those thought up by the cleverest maths people ever to grace the earth. Compared to them, you, and everyone else on this forum (inc me, Growse, Rich_L, Peter Griffin and all the others who are good at maths are nothing but amateurs! You can't comprehend their brilliance!)
Faith? Things we've defined don't need "faith", its like my parents saying "Are you sure you're called George. We did name you George, but are you sure?". They called me George, I'm George. You could argue otherwise, but since by definition, I'm George, it'd be a mute point.Originally posted by Gilly
Your faith, if you will.
Originally posted by nige
This thread is a waste of time and effort, and has by design already detracted into a handbags match. Shame, I would have quite enjoyed going at the philosophical side of this argument.
How can you say a defenition is wrong to those who made it (not saying I'm one of them!).Originally posted by Gilly
Hardly the same. It'd be like you coming on here and doing it, surely? Given that this is a place for discussion and sharing of views, whereas the workplace is a place for work.
Simply because you chose this as your vocation doesn't make your opinions any more valid than anyone elses, and yes, that includes those that do not agree with you.
Originally posted by w11tho
How can you say a defenition is wrong
Originally posted by AlphaNumeric
/makes list of illogical minded people who like to make comments about things they do not understand.
1 is 1, 1.0 is 1.0Originally posted by memphisto
no
1 =1 nothing else = 1