mersenneforum.org  

Go Back   mersenneforum.org > Fun Stuff > Puzzles

Reply
 
Thread Tools
Old 2022-05-18, 13:36   #23
retina
Undefined
 
retina's Avatar
 
"The unspeakable one"
Jun 2006
My evil lair

3×31×71 Posts
Default 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.
retina is offline   Reply With Quote
Old 2022-05-20, 02:14   #24
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

5·857 Posts
Default

Quote:
Originally Posted by retina View Post
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
paulunderwood is offline   Reply With Quote
Old 2022-05-20, 02:40   #25
retina
Undefined
 
retina's Avatar
 
"The unspeakable one"
Jun 2006
My evil lair

3·31·71 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
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
retina is offline   Reply With Quote
Old 2022-05-20, 14:42   #26
retina
Undefined
 
retina's Avatar
 
"The unspeakable one"
Jun 2006
My evil lair

660310 Posts
Default 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.
retina is offline   Reply With Quote
Old 2022-05-20, 16:15   #27
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

5×857 Posts
Default

Quote:
Originally Posted by retina View Post
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.
paulunderwood is offline   Reply With Quote
Old 2022-05-21, 01:26   #28
retina
Undefined
 
retina's Avatar
 
"The unspeakable one"
Jun 2006
My evil lair

3×31×71 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
2^{aleph_0} - 1 = aleph_1 ...
I showed my working to arrive at the real answer of 0.
retina is offline   Reply With Quote
Old 2022-09-25, 13:08   #29
MPrimeFinder
 
Sep 2022

2 Posts
Default

Quote:
Originally Posted by VBCurtis View Post
Sure! They look like exactly the same size of infinity to me.
Infinity is just a variable, so 2∞ and even ∞∞ (∞2) exist.
MPrimeFinder is offline   Reply With Quote
Old 2022-09-25, 16:47   #30
xilman
Bamboozled!
 
xilman's Avatar
 
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across

2×34×71 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
\[2^{\aleph_0} - 1 = \aleph_1\] and I am not sure primeness is defined for these.
And do you believe in the CH?
xilman is offline   Reply With Quote
Old 2022-09-25, 17:30   #31
lavalamp
 
lavalamp's Avatar
 
Oct 2007
Manchester, UK

3×457 Posts
Default

Quote:
Originally Posted by xilman View Post
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.
lavalamp is offline   Reply With Quote
Old 2022-09-25, 17:36   #32
PhilF
 
PhilF's Avatar
 
"6800 descendent"
Feb 2005
Colorado

52×29 Posts
Default

Yes, I believe in hydrocarbons, although you're going to have to include some O's with your CH's.
PhilF is offline   Reply With Quote
Old 2022-09-25, 18:42   #33
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

10000101111012 Posts
Default

Quote:
Originally Posted by xilman View Post
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
paulunderwood is offline   Reply With Quote
Reply

Thread Tools


All times are UTC. The time now is 05:41.


Sun Oct 2 05:41:23 UTC 2022 up 45 days, 3:09, 0 users, load averages: 1.43, 1.13, 1.04

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔