[FOM] FOM Digest, Vol 115, Issue 15

[Richard Pollack]

Am I right to recall that the book by Wilder, "Foundations of Analysis"
also runs along these (Re: Wildberger on Foundations) lines?

Ricky

On Tue, Jul 17, 2012 at 12:02 PM, <fom-request at cs.nyu.edu> wrote:

> Send FOM mailing list submissions to
>         fom at cs.nyu.edu
>
> To subscribe or unsubscribe via the World Wide Web, visit
>         http://www.cs.nyu.edu/mailman/listinfo/fom
> or, via email, send a message with subject or body 'help' to
>         fom-request at cs.nyu.edu
>
> You can reach the person managing the list at
>         fom-owner at cs.nyu.edu
>
> When replying, please edit your Subject line so it is more specific
> than "Re: Contents of FOM digest..."
>
>
> Today's Topics:
>
>    1. Re: Wildberger on Foundations (Arnon Avron)
>
>
> ----------------------------------------------------------------------
>
> Message: 1
> Date: Tue, 17 Jul 2012 14:05:39 +0300
> From: aa at tau.ac.il (Arnon Avron)
> To: Foundations of Mathematics <fom at cs.nyu.edu>
> Subject: Re: [FOM] Wildberger on Foundations
> Message-ID: <20120717110539.GF10421 at localhost.localdomain>
> Content-Type: text/plain; charset=us-ascii
>
> On Wed, Jul 11, 2012 at 12:51:02PM -0400, joeshipman at aol.com wrote:
>
> > In his discussion with me, he asks for examples of texts where the
> > modern framework of Analysis is developed completely rigorously from
> > first principles.
> >
> > Can anyone suggest some source books that might satisfy his request?
>
> Here are two books which were used as the main textbooks in undergrduate
> courses I took about 40 years ago in Tel-Aviv university, and come
> close to this ideal:
>
> G. M. Fikhtengol'ts: The fundamentals of Mathematical Analysis
>
>   This is the book from which I have learned Analysis. It
>   starts with a rigorous  introduction of the real numbers as
>   Dedekind cuts, and continue to provide rigorous definitions and proofs
>   in both of its two comprehensive volumes. It does not provide a list of
>   "basic principles", though.
>
> J. Dugundji: Topology
>
>    This book is not a book in analysis. However, it is relevant here
>   because it is almost fully self-contained. It starts from elementary
>   set theorys, and it  even provides a full list of axioms (GB in an
>   informal form).
>
> And I should mention of course also Feferman's classic book on the
> number systems.
>
>
> Arnon Avron
>
>
>
>
> ------------------------------
>
> _______________________________________________
> FOM mailing list
> FOM at cs.nyu.edu
> http://www.cs.nyu.edu/mailman/listinfo/fom
>
>
> End of FOM Digest, Vol 115, Issue 15
> ************************************
>



-- 
Ricky Pollack
Professor Emeritus Mathematics
Courant Institute of Mathematical Sciences/NYU
 Office: Room 522, Warren Weaver Hall (Courant
             Institute).
Phone (office): 212-998-3167
Phone (mobile): 646-734-0138
Fax: 212-995-4121
Mailing Address: 251 Mercer Street,
                    New York, NY 10012, U.S.A.
Email: pollack at cims,nyu.edu
homepage url:
    http://math.nyu.edu/faculty/pollack/index.html
-------------- next part --------------
An HTML attachment was scrubbed...
URL: </pipermail/fom/attachments/20120717/a934bcdc/attachment.html>