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 2022-05-18, 13:36 #23 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 5×1,303 Posts The truth about 1+2+3+...=-1_12 Nice vid. https://www.youtube.com/watch?v=YuIIjLr6vUA Supersums, Zeta and Eta functions, are also included for some extra spice.
2022-05-20, 02:14   #24
paulunderwood

Sep 2002
Database er0rr

101738 Posts

Quote:
 Originally Posted by retina Good job. Now we have two answers. A > B, and B > A Anyone want to speculate now that A = B?
https://en.wikipedia.org/wiki/Schr%C...nstein_theorem

2022-05-20, 02:40   #25
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

5·1,303 Posts

Quote:
 Originally Posted by paulunderwood https://en.wikipedia.org/wiki/Schr%C...nstein_theorem
Good job.

Although that says that |A| = |B|. Which is what VBCurtis suggested up thread.

Last fiddled with by retina on 2022-05-20 at 02:41 Reason: Linky

 2022-05-20, 14:42 #26 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 5×1,303 Posts 2^∞ = 0 The infinite product of 2×2×2×2×2×2×2... = 0 If we set p = 2×2×2×2×2×2×2... we can see that 2×2×2×2×2×2×2... = 2×p Leading to p = 2×p Subtract p from both side; 0 = p Giving 2×2×2×2×2×2×2... = 0 Sadly the Mersenne number 2^∞-1 = -1, and therefore isn't prime.
2022-05-20, 16:15   #27
paulunderwood

Sep 2002
Database er0rr

4,219 Posts

Quote:
 Originally Posted by retina The infinite product of 2×2×2×2×2×2×2... = 0 If we set p = 2×2×2×2×2×2×2... we can see that 2×2×2×2×2×2×2... = 2×p Leading to p = 2×p Subtract p from both side; 0 = p Giving 2×2×2×2×2×2×2... = 0 Sadly the Mersenne number 2^∞-1 = -1, and therefore isn't prime.
$2^{\aleph_0} - 1 = \aleph_1$ and I am not sure primeness is defined for these.

2022-05-21, 01:26   #28
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

5×1,303 Posts

Quote:
 Originally Posted by paulunderwood 2^{aleph_0} - 1 = aleph_1 ...
I showed my working to arrive at the real answer of 0.

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