Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matheology � 261
Replies: 7   Last Post: May 10, 2013 11:39 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Graham Cooper

Posts: 4,227
Registered: 5/20/10
Re: Matheology § 261
Posted: May 10, 2013 7:57 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On May 10, 11:10 am, Zeit Geist <tucsond...@me.com> wrote:
> ...
> I somewhat agree with the above assessment by G & N.  Finding the solution and
> correcting the problem by avoidance are two different procedures.
> ...
> When Hilbert sought to formalize set theory, and thus all of mathematics, the project
> did not include all of logic but only that was mathematical.  This set, U, constructed
> from unions of powersets of union of powersets of unions of powersets of ... and then
> the union of all of that, must be everything "producable" from those operations.
> Since U is "producable", U must be a set. Hence, we can take the powerset of U and
> "produce" something not in U.


this is a naive copycat proof of |PS(N)| > |N|

before you said such a proof is irrelevant.

CANTORS POWERSET PROOF

| CARDINALITY | > | INFINITY |

IF SET1 has 1 - then MYSET skips 1
or
IF SET1 skips 1 - then MYSET has 1

AND
IF SET2 has 2 - then MYSET skips 2
or
IF SET2 skips 2 - then MYSET has 2

AND
IF SET3 has 3 - then MYSET skips 3
or
IF SET3 skips 3 - then MYSET has 3

AND
IF SET4 has 4 - then MYSET skips 4
or
IF SET4 skips 4 - then MYSET has 4
...






>
> Does this mean there is a problem with the theory? Not really, what is says is
> that U can not be treated as a set.  The problem only arises, when we treat U as
> A set.


Is there a predicate that defines U?

E(U) A(S) SeU

Can you formulaically infer values of set membership of U?


Herc
--
www.BLoCKPROOG.com




Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.