Re: 2^ aleph_x =/= aleph(x+1) !! aleph = beth !!

LOL !!!

so you all actually insist that 2^aleph_x =/=
aleph_(x+1) and i am " confused with the beth
numbers.

but APPARENTLY you guys are unaware that :

from the axiom of choice and the generalized
continuum hypothesis it follow that :

THE SEQUENCE OF BETH NUMBERS EQUALS THE SEQUENCE OF
ALEPH NUMBERS !!!!

thus 2^beth_x = beth_(x+1) and THUS 2^aleph_x =
aleph_(x+1)


aha !!

take that.


who is confused now !!!???

so its not me taking sugar every morning.

take your meds dennis, until you see AC and GCH imply
aleph = beth => 2^aleph_x = aleph_(x+1)

tommy1729

btw inaccessible cardinals like beth_beth_beth_3 cannot be proven to exist ( having the properties they should have ) in zf.

tommy1729
.

Relevant Pages

  • Re: 2^ aleph_x =/= aleph(x+1) !! aleph = beth !!
    ... from the axiom of choice and the generalized ... THE SEQUENCE OF BETH NUMBERS EQUALS THE SEQUENCE OF ... btw you dont know what is an inaccessible cardinal, either, and they can be proved to exist in zfc, and of course not in zf, as the notation has no meaning if you cannot well-order R for instance ...
    (sci.math)
  • Re: 2^ aleph_x =/= aleph(x+1) !! aleph = beth !!
    ... THE SEQUENCE OF BETH NUMBERS EQUALS THE SEQUENCE OF ... But GCH is not a part of ZFC. ...
    (sci.math)
  • Re: Indicate missing number in a sequence
    ... Don Guillett ... Microsoft MVP Excel ... "Beth" wrote in message ... sequence number? ...
    (microsoft.public.excel.misc)
  • Re: 2^ aleph_x =/= aleph(x+1) !! aleph = beth !!
    ... from the axiom of choice and the generalized continuum hypothesis it follow that: ... THE SEQUENCE OF BETH NUMBERS EQUALS THE SEQUENCE OF ALEPH NUMBERS!!!! ... We're all aware that this is what GCH says. ...
    (sci.math)