2=1 ?!?!?!
Maths and statistics discussion, revision, exam and homework help.
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Re: 2=1 ?!?!?!Ah, but the beauty of the concept (of infinity) is that for every row there is a row above it, and hence there is no last row; there are only rows 100% filled.(Original post by Micky76)
Yes but my initial assumption is that
which doesn't completely disprove my formula. However, as hassi stated that it cant be directly used as a number has clarified things a bit. Impressive animation, I do agree with how you stated that there is no last row, so in this example, technically there is no 'last' 1 in 0.00....01 as it is at infinity. Just help infinity get up, it will be an eight :P.
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Re: 2=1 ?!?!?!But the assumption is wrong...? Also, hassi94 said infinity and things like 1/inf can't be directly used as numbers. However,(Original post by Micky76)
Yes but my initial assumption is that
which doesn't completely disprove my formula. However, as hassi stated that it cant be directly used as a number has clarified things a bit.
does not go into this category and it can perfectly be used in algebraic manipulations...
Or perhaps I misinterpreted your post? -
Re: 2=1 ?!?!?!1/infinity =! zero.(Original post by Micky76)
I have read it before. From the proofs there that I understand, they all seem to omit 1/infinity. I have thought about this before, it just leads me to the concept of some infinities being smaller or greater than other infinities. Ill explain mathematically;


In general,

Just my thoughts, I have far to little knowledge to go into this idea, Cantor spent a lifetime on it and didn't find it. But anyways, up for another debate today about this?
If you're talking about a limit i.e:
lim x-> infinity 1/x ; that is = 0. -
Re: 2=1 ?!?!?!I have realised that my assumption is wrong, and hence also the formula I posted. It isn't so hard to think of the concept of infinity in this context especially looking at the animation posted by aznkid66, but I really do find it hard to express these thoughts in words.(Original post by Lord of the Flies)
But the assumption is wrong...? Also, hassi94 said infinity and things like 1/inf can't be directly used as numbers. However,
does not go into this category and it can perfectly be used in algebraic manipulations...
Or perhaps I misinterpreted your post? -
Re: 2=1 ?!?!?!(Original post by TLHroolz)
Explain:
a=b
a^2=ab
2a^2=a^2+ab
2a^2-2ab=a^2-ab
2(a^2-ab)=(a^2-ab)
2=1
?????
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Re: 2=1 ?!?!?!Yes you can divide by zero but the problem is that it always gives the same value infinity,so in algebraic manipulations it isn't advised to divide by 0 or you will get 2=1 because in reality the 2=1 should be infinity=infinity after dividing by 0.(Original post by ben-smith)
I divide by zero but, then again, I do live on the Riemann sphere.Last edited by Dalek1099; 30-06-2012 at 23:08. -
Re: 2=1 ?!?!?!Therefore:(Original post by Dalek1099)
Yes you can divide by zero but the problem is that it always gives the same value 0,so in algebraic manipulations it isn't advised to divide by 0 or you will get 2=1 because in reality the 2=1 should be 0=0 after dividing by 0.
Either way we reach nonsense, because what you said is nonsense.Code:1/0 = 0 {Multiply by 0} 1 = 0 {If 1/0 * 0 = 1} 0 = 0 {If 1/0 * 0 = 0, in which the standard relationship between multiplication and division doesn't hold, and we aren't talking about the same function} -
Re: 2=1 ?!?!?!Your right I got it slightly mixed up dividing by zero actually equals infinity because 1/0.1=10 1/0.01=100 1/0=infinity(Original post by Fallen)
Therefore:
Either way we reach nonsense, because what you said is nonsense.Code:1/0 = 0 {Multiply by 0} 1 = 0 {If 1/0 * 0 = 1} 0 = 0 {If 1/0 * 0 = 0, in which the standard relationship between multiplication and division doesn't hold, and we aren't talking about the same function}
It is also important to remember that 0 doesn't obey the rules of normal numbers that why 2x=x (/x)=2=1 where as for any other number it works,dividing by zero. -
Re: 2=1 ?!?!?!HahahahahahahHAHAHA.(Original post by Dalek1099)
Your right I got it slightly mixed up dividing by zero actually equals infinity because 1/0.1=10 1/0.01=100 1/0=infinity
It is also important to remember that 0 doesn't obey the rules of normal numbers that why 2x=x (/x)=2=1 where as for any other number it works,dividing by zero.
Ha.
Go to bed.