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

Topic: Matheology § 295
Replies: 24   Last Post: Jun 30, 2013 3:32 PM

Advanced Search

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

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 295
Posted: Jun 30, 2013 3:27 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <50612434-27a6-4f1f-9f35-d0fcf2667944@googlegroups.com>,
mueckenh@rz.fh-augsburg.de wrote:

> On Saturday, 29 June 2013 23:30:13 UTC+2, Virgil wrote:

> > > Actually, Cantor made no assumptions when he constructed the finite
> > > cardinals in his 1895 article. And Cantor often emphasized that he did
> > > not need axioms. (A very sober attitude that I have to applaude to!)

> > You mean that Cantor did not assume that natural numbers existed?
> Just the contrary. Cantor knew that natural numbers exist.

Anything he claimed to know must either be assumed by him or proved by
him from other assumptions.

> To know that, one
> does not need axioms unless being a jerk, Bourbakist, or matheologian, or a
> cross-breed of these species.

To know things without evidence or proof of their truth requires one to
be either a god, or someone like WM.
> Regards, WM

> > > But the letter which fom quoted from, Cantor to Hilbert on 27 Jan. 1900,
> > > > written from Berlin to Göttingen and extending over several pages, one
> > > of the > most remarkable letters to Hilbert and one the most important
> > > in the > collection of Cantor letters edited by Meschkowski and Nilson,
> > > as they write > themselves on p. 428 of their voluminous book of Cantor
> > > letters (Springer, > Berlin 1991), ... this letter contains Cantor's
> > > reference to several classes > of axioms.


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

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2015. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.