• 1 Vote(s) - 5 Average
• 1
• 2
• 3
• 4
• 5
 [MO] Is there a tetration for infinite cardinalities? (Question in MO) sheldonison Long Time Fellow Posts: 641 Threads: 22 Joined: Oct 2008 12/02/2014, 02:35 PM (12/01/2014, 11:55 PM)tommy1729 Wrote: 2^^w = the first inaccessible ordinal. This is because 2^x = x is not accessible and 2^^w is the smallest such x. w^^w = 2^(ln(w) 2^^w) = 2^^w = the first inaccessible ordinal. 2^^(2^^w) = the second inaccessible ordinal. 2^^(2^^w) = 2^^(w^^w) = w^^(w^^w). Pentation w^^^w = the w th inaccessible ordinal. nice - Sheldon « Next Oldest | Next Newest »

 Messages In This Thread [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by Gottfried - 11/30/2014, 10:37 AM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by MphLee - 11/30/2014, 09:38 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by tommy1729 - 12/01/2014, 11:55 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by sheldonison - 12/02/2014, 02:35 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by MphLee - 12/02/2014, 02:40 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by tommy1729 - 12/04/2014, 12:08 AM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by MphLee - 12/04/2014, 09:31 AM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by tommy1729 - 12/04/2014, 01:20 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by MphLee - 12/06/2014, 02:26 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by tommy1729 - 12/07/2014, 05:32 PM RE: [MO] Is there a tetration for infinite cardinalities? (Question in MO) - by MphLee - 12/28/2014, 10:22 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Kneser method question tommy1729 9 1,370 02/11/2020, 01:26 AM Last Post: sheldonison A Notation Question (raising the highest value in pow-tower to a different power) Micah 8 3,753 02/18/2019, 10:34 PM Last Post: Micah Math overflow question on fractional exponential iterations sheldonison 4 4,371 04/01/2018, 03:09 AM Last Post: JmsNxn [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 1,426 03/20/2018, 12:16 AM Last Post: tommy1729 Sexp redefined ? Exp^[a]( - 00 ). + question ( TPID 19 ??) tommy1729 0 1,798 09/06/2016, 04:23 PM Last Post: tommy1729 Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 5,630 05/06/2014, 09:47 PM Last Post: tommy1729 Another question! JmsNxn 4 4,641 08/27/2013, 06:57 PM Last Post: JmsNxn Very curious question JmsNxn 3 4,102 08/20/2013, 08:56 PM Last Post: JmsNxn Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*... Gottfried 5 7,525 07/17/2013, 09:46 AM Last Post: Gottfried Question about curvature tommy1729 0 1,849 12/15/2012, 11:38 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)