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 2022-05-18, 13:36 #23 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 6,689 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

3×1,499 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

150418 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 6,689 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

3·1,499 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

6,689 Posts

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

2022-09-25, 13:08   #29
MPrimeFinder

"Anonymous"
Sep 2022
finding m52

3·7 Posts

Quote:
 Originally Posted by VBCurtis Sure! They look like exactly the same size of infinity to me.
Infinity is just a variable, so 2∞ and even ∞∞ (∞2) exist.

2022-09-25, 16:47   #30
xilman
Bamboozled!

"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across

101101100101002 Posts

Quote:
 Originally Posted by paulunderwood $2^{\aleph_0} - 1 = \aleph_1$ and I am not sure primeness is defined for these.
And do you believe in the CH?

2022-09-25, 17:30   #31
lavalamp

Oct 2007
Manchester, UK

101010111012 Posts

Quote:
 Originally Posted by xilman And do you believe in the CH?
Yes, it is the 4th letter of the Welsh alphabet, and appears twice in church, although I don't go there myself.

 2022-09-25, 17:36 #32 PhilF     "6800 descendent" Feb 2005 Colorado 2·32·41 Posts Yes, I believe in hydrocarbons, although you're going to have to include some O's with your CH's.
2022-09-25, 18:42   #33
paulunderwood

Sep 2002
Database er0rr

3×1,499 Posts

Quote:
 Originally Posted by xilman And do you believe in the CH?
Wasn't that conundrum settled by Paul Cohen. It had something to do with the ZFC axioms. The whole notion drove Cantor to the sanatorium.

Last fiddled with by paulunderwood on 2022-09-25 at 18:52

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