From: Pip Cet <pipcet@gmail.com>
To: herring@lanl.gov
Cc: cpitclaudel@gmail.com, emacs-devel@gnu.org
Subject: Re: Making 'eq' == 'eql' in bignum branch
Date: Wed, 29 Aug 2018 13:15:27 +0000 [thread overview]
Message-ID: <CAOqdjBe=4iiCFMDPRFJWS=XPOag-14T8Q6Fnsb0bVJzHStAKqg@mail.gmail.com> (raw)
In-Reply-To: <352c998a64c646b983a131039e9c732b@lanl.gov>
On Wed, Aug 29, 2018 at 3:42 AM Herring, Davis <herring@lanl.gov> wrote:
> > Signed infinities are convenient symbols, but they're not numbers; I
> > recall the horrified reaction of a mathematician when I told her about
> > IEEE infinities (she thought I was making it up about NaNs).
>
> Of course +/-inf are numbers.
I'm sorry I made a tangential mathematical statement; while I think
it's correct that the usual definition of "number" excludes infinities
(but not numbers that happen to be infinite), you are perfectly
correct that it's okay to redefine the term as you see fit. To get
this back to Emacs matters, `numberp' is fine as it is.
> They're not real numbers, but neither are complex numbers, split-complex numbers, dual numbers, p-adic numbers, quaternions, octonions, sedenions, hyperreal numbers, or (please no) surreal numbers. With all due respect to your mathematician friend, she has no exclusive claim over the definition (such as it is) of "number" (and I'm a bit surprised if she hadn't heard of at least one of the extended real lines I linked).
She has; she simply has a different definition of "number" (and no
doubt the three of us have three different definitions of the term).
> NaN, on the other hand, is of course a floating-point value that explicitly claims not to be a number. I'm not sure whether to believe it; it seems very useful that the operations on floating-point "numbers" are closed, but that depends on NaN being one of them...
Four definitions!
For those not familiar with APL, JavaScript is a popular language that
has Math.min() = Infinity.
next prev parent reply other threads:[~2018-08-29 13:15 UTC|newest]
Thread overview: 281+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-04-21 14:15 Using the GNU GMP Library for Bignums in Emacs Siraphob (Ben) Phipathananunth
2018-04-21 14:34 ` Eli Zaretskii
2018-04-21 15:01 ` Siraphob (Ben) Phipathananunth
2018-04-21 15:23 ` Paul Eggert
2018-04-21 15:36 ` Eli Zaretskii
2018-04-21 15:40 ` Siraphob (Ben) Phipathananunth
2018-04-21 15:54 ` Eli Zaretskii
2018-04-21 16:08 ` Paul Eggert
2018-04-26 3:17 ` Tom Tromey
2018-04-26 3:33 ` Stefan Monnier
2018-04-27 15:56 ` Richard Stallman
2018-04-27 16:08 ` Stefan Monnier
2018-04-21 22:42 ` Richard Stallman
2018-04-22 2:48 ` dancol
2018-04-22 13:00 ` Philipp Stephani
2018-04-22 17:43 ` Paul Eggert
2018-04-22 18:04 ` Daniel Colascione
2018-04-22 18:34 ` Clément Pit-Claudel
2018-04-23 3:39 ` Richard Stallman
2018-04-22 8:00 ` Siraphob (Ben) Phipathananunth
2018-04-22 9:06 ` Paul Eggert
2018-04-23 5:19 ` Helmut Eller
2018-04-23 8:39 ` Andreas Schwab
2018-04-23 14:36 ` Paul Eggert
2018-04-23 19:22 ` Helmut Eller
2018-04-23 20:26 ` Paul Eggert
2018-04-23 3:36 ` Richard Stallman
2018-04-22 12:43 ` Helmut Eller
2018-04-22 17:47 ` Paul Eggert
2018-04-23 3:39 ` Richard Stallman
2018-04-23 4:41 ` Paul Eggert
2018-04-24 2:54 ` Richard Stallman
2018-04-24 2:54 ` Richard Stallman
2018-04-24 4:35 ` Paul Eggert
2018-04-24 5:45 ` Helmut Eller
2018-06-03 23:44 ` Jefferson Carpenter
2018-04-25 1:05 ` Richard Stallman
2018-04-25 1:19 ` Paul Eggert
2018-04-25 22:40 ` Richard Stallman
2018-04-25 23:29 ` Paul Eggert
2018-04-30 3:07 ` Richard Stallman
2018-04-30 5:00 ` Michael Welsh Duggan
2018-04-30 12:34 ` Stefan Monnier
2018-05-01 3:01 ` Richard Stallman
2018-04-30 7:04 ` Paul Eggert
2018-05-01 3:01 ` Richard Stallman
2018-05-01 21:45 ` Paul Eggert
2018-05-03 3:34 ` Richard Stallman
2018-05-03 5:53 ` Paul Eggert
2018-05-03 6:26 ` Helmut Eller
2018-05-03 17:49 ` Eli Zaretskii
2018-05-03 18:26 ` Paul Eggert
2018-05-04 4:26 ` Richard Stallman
2018-05-05 5:03 ` Ken Raeburn
2018-05-06 3:12 ` Richard Stallman
2018-05-07 17:24 ` Ken Raeburn
2018-05-08 1:55 ` Richard Stallman
2018-05-07 18:40 ` Andreas Schwab
2018-05-03 18:51 ` Helmut Eller
[not found] ` <83sh78o6af.fsf@gnu.org>
2018-05-03 20:30 ` Helmut Eller
2018-05-03 21:48 ` Paul Eggert
2018-05-04 4:22 ` Richard Stallman
2018-04-23 3:03 ` Stefan Monnier
2018-07-05 21:29 ` Tom Tromey
2018-07-05 21:53 ` John Wiegley
2018-07-06 20:43 ` Tom Tromey
2018-07-06 21:00 ` Paul Eggert
2018-07-07 4:27 ` Tom Tromey
2018-07-07 4:53 ` Paul Eggert
2018-07-07 6:20 ` Tom Tromey
2018-07-07 6:38 ` Paul Eggert
2018-07-09 5:37 ` Tom Tromey
2018-07-09 16:22 ` Paul Eggert
2018-07-09 22:56 ` Tom Tromey
2018-07-09 23:02 ` Paul Eggert
2018-07-09 23:13 ` Tom Tromey
2018-07-10 4:01 ` Tom Tromey
2018-07-10 13:46 ` Tom Tromey
2018-07-08 15:59 ` Tom Tromey
2018-07-09 5:43 ` Tom Tromey
2018-07-10 4:10 ` Stefan Monnier
2018-07-07 23:43 ` Richard Stallman
2018-07-08 4:58 ` Paul Eggert
2018-07-08 22:55 ` Richard Stallman
2018-07-08 5:01 ` Tom Tromey
2018-07-08 22:55 ` Richard Stallman
2018-07-09 5:39 ` Tom Tromey
2018-07-09 20:15 ` Stefan Monnier
2018-07-09 23:25 ` Paul Eggert
2018-07-10 3:41 ` Stefan Monnier
2018-07-10 5:32 ` Helmut Eller
2018-07-10 13:54 ` Stefan Monnier
2018-07-10 16:01 ` Paul Eggert
2018-07-10 16:48 ` Helmut Eller
2018-07-10 17:45 ` Paul Eggert
2018-07-10 19:14 ` Helmut Eller
2018-07-11 1:31 ` Stefan Monnier
2018-07-11 5:59 ` Helmut Eller
2018-07-11 14:23 ` Stefan Monnier
2018-07-11 2:04 ` Tom Tromey
2018-07-11 2:36 ` Paul Eggert
2018-07-10 20:33 ` Stefan Monnier
2018-07-11 1:52 ` Tom Tromey
2018-07-11 2:35 ` Paul Eggert
2018-07-11 3:16 ` Stefan Monnier
2018-07-11 3:30 ` Paul Eggert
2018-07-11 3:42 ` Stefan Monnier
2018-07-11 22:48 ` Richard Stallman
2018-07-12 4:51 ` Tom Tromey
2018-07-12 23:35 ` Richard Stallman
2018-07-15 15:02 ` Stefan Monnier
2018-07-18 10:20 ` Paul Eggert
2018-07-18 13:17 ` Stefan Monnier
2018-07-27 21:14 ` Making 'eq' == 'eql' in bignum branch Paul Eggert
2018-07-28 14:26 ` Stefan Monnier
2018-07-29 3:34 ` Paul Eggert
2018-07-29 4:09 ` Stefan Monnier
2018-07-29 14:35 ` Eli Zaretskii
2018-07-30 17:07 ` Stefan Monnier
2018-07-30 18:49 ` Eli Zaretskii
2018-07-30 20:10 ` Stefan Monnier
2018-07-30 21:58 ` Paul Eggert
2018-07-31 2:38 ` Eli Zaretskii
2018-07-31 7:10 ` Paul Eggert
2018-07-31 16:12 ` Eli Zaretskii
2018-07-31 22:44 ` Paul Eggert
2018-08-01 5:51 ` Eli Zaretskii
2018-08-01 6:43 ` Paul Eggert
2018-08-01 8:53 ` Eli Zaretskii
2018-08-03 7:40 ` Paul Eggert
2018-08-03 7:55 ` Eli Zaretskii
2018-08-10 11:12 ` Pip Cet
2018-08-10 15:15 ` Stefan Monnier
2018-08-10 15:43 ` Pip Cet
2018-08-10 15:55 ` Stefan Monnier
2018-08-10 16:52 ` John Yates
2018-08-10 19:45 ` Eli Zaretskii
2018-08-10 20:48 ` Paul Eggert
2018-08-10 7:05 ` Elias Mårtenson
2018-08-10 8:02 ` Paul Eggert
[not found] ` <<83d0v4p1si.fsf@gnu.org>
2018-07-31 15:08 ` Drew Adams
2018-07-31 16:24 ` Eli Zaretskii
2018-07-31 22:21 ` Paul Eggert
2018-08-20 0:04 ` Stefan Monnier
2018-08-20 1:33 ` Paul Eggert
2018-08-20 15:20 ` Stefan Monnier
2018-08-20 6:35 ` Pip Cet
2018-08-20 7:05 ` Paul Eggert
2018-08-20 7:19 ` Pip Cet
2018-08-20 7:27 ` Paul Eggert
2018-08-20 8:49 ` Andy Moreton
2018-08-20 16:03 ` Paul Eggert
2018-08-20 16:41 ` Andy Moreton
2018-08-20 16:51 ` Paul Eggert
2018-08-20 16:58 ` Andy Moreton
2018-08-20 19:50 ` Pip Cet
2018-08-20 21:54 ` Andy Moreton
2018-08-21 3:38 ` Richard Stallman
2018-08-20 17:23 ` Eli Zaretskii
2018-08-20 17:35 ` Paul Eggert
2018-08-20 15:13 ` Eli Zaretskii
2018-08-20 15:26 ` Stefan Monnier
2018-08-20 16:19 ` Eli Zaretskii
2018-08-21 15:01 ` Robert Pluim
2018-08-21 19:09 ` Robert Pluim
2018-08-21 19:35 ` Paul Eggert
2018-08-22 8:26 ` Lars Ingebrigtsen
2018-08-22 13:22 ` Herring, Davis
2018-08-22 13:28 ` Lars Ingebrigtsen
2018-08-22 13:55 ` Paul Eggert
2018-08-22 20:01 ` Stefan Monnier
2018-08-23 8:13 ` Robert Pluim
2018-08-23 13:45 ` Eli Zaretskii
2018-08-23 14:48 ` Robert Pluim
2018-08-23 18:43 ` Stefan Monnier
2018-08-24 9:51 ` Robert Pluim
2018-08-25 17:59 ` Stefan Monnier
2018-08-20 16:01 ` Paul Eggert
2018-08-20 16:26 ` Eli Zaretskii
2018-08-21 3:37 ` Richard Stallman
2018-08-20 15:12 ` Eli Zaretskii
2018-08-20 15:26 ` Lars Ingebrigtsen
2018-08-20 16:18 ` Eli Zaretskii
2018-08-22 19:59 ` Stefan Monnier
2018-08-21 3:38 ` Richard Stallman
2018-08-25 23:27 ` Paul Eggert
2018-08-26 12:45 ` Tramp and fixnum (was: Making 'eq' == 'eql' in bignum branch) Michael Albinus
2018-08-26 15:34 ` Paul Eggert
2018-08-26 16:06 ` Eli Zaretskii
2018-08-26 16:44 ` Tramp and fixnum Michael Albinus
2018-08-28 4:47 ` Tramp and fixnum (was: Making 'eq' == 'eql' in bignum branch) Paul Eggert
2018-08-26 16:49 ` Tramp and fixnum Michael Albinus
2018-08-28 4:48 ` Paul Eggert
2018-08-28 11:50 ` Michael Albinus
2018-08-28 14:33 ` Michael Albinus
2018-08-28 15:18 ` Paul Eggert
2018-08-29 8:09 ` Michael Albinus
2018-08-26 16:34 ` Making 'eq' == 'eql' in bignum branch Tom Tromey
2018-08-26 16:59 ` Stefan Monnier
2018-08-26 20:19 ` Alan Mackenzie
2018-08-26 20:31 ` Stefan Monnier
2018-08-27 2:31 ` Eli Zaretskii
2018-08-27 4:45 ` Stefan Monnier
2018-08-27 5:10 ` Paul Eggert
2018-08-27 14:59 ` Eli Zaretskii
2018-08-27 15:18 ` Stefan Monnier
2018-08-27 15:37 ` Eli Zaretskii
2018-08-27 15:47 ` Stefan Monnier
2018-08-27 18:57 ` Paul Eggert
2018-08-26 20:45 ` Richard Stallman
2018-08-26 22:10 ` Clément Pit-Claudel
2018-08-27 0:23 ` Paul Eggert
2018-08-27 22:50 ` Richard Stallman
2018-08-28 1:44 ` Paul Eggert
2018-08-28 14:12 ` Tom Tromey
2018-08-28 21:30 ` Richard Stallman
2018-08-28 22:03 ` Clément Pit-Claudel
2018-08-29 22:10 ` Richard Stallman
2018-08-28 18:03 ` Clément Pit-Claudel
2018-08-29 3:53 ` Stefan Monnier
2018-08-29 18:49 ` Clément Pit-Claudel
2018-08-28 1:33 ` Lars Ingebrigtsen
2018-08-28 2:25 ` Pip Cet
2018-08-28 3:45 ` Paul Eggert
2018-08-28 7:34 ` Ken Raeburn
2018-08-28 9:11 ` Helmut Eller
2018-08-28 12:15 ` Stefan Monnier
2018-08-28 18:00 ` Clément Pit-Claudel
2018-08-28 22:57 ` Pip Cet
2018-08-29 3:42 ` Herring, Davis
2018-08-29 5:40 ` Helmut Eller
2018-08-29 13:15 ` Pip Cet [this message]
2018-08-31 19:59 ` Alan Mackenzie
2018-08-31 20:30 ` Clément Pit-Claudel
2018-08-31 21:58 ` Alan Mackenzie
2018-09-01 1:26 ` Herring, Davis
2018-08-31 21:15 ` Stefan Monnier
2018-09-01 1:05 ` Herring, Davis
2018-09-02 10:57 ` Alan Mackenzie
2018-09-04 6:14 ` Herring, Davis
2018-09-01 4:47 ` Clément Pit-Claudel
2018-08-29 3:22 ` Elias Mårtenson
2018-08-29 18:56 ` Clément Pit-Claudel
2018-08-29 19:30 ` Stefan Monnier
2018-08-31 0:09 ` Stefan Monnier
2018-09-01 2:32 ` Richard Stallman
2018-08-31 16:41 ` Paul Eggert
2018-08-28 21:25 ` Richard Stallman
2018-08-30 19:13 ` Johan Bockgård
2018-08-30 21:14 ` Clément Pit-Claudel
2018-08-30 21:35 ` Tom Tromey
2018-08-30 21:56 ` Clément Pit-Claudel
2018-08-20 15:37 ` Stefan Monnier
2018-08-20 16:23 ` Eli Zaretskii
2018-08-20 16:12 ` Paul Eggert
2018-08-20 17:21 ` Helmut Eller
2018-08-20 14:02 ` Stefan Monnier
2018-07-18 15:55 ` Using the GNU GMP Library for Bignums in Emacs Eli Zaretskii
2018-07-18 21:42 ` Paul Eggert
2018-07-22 12:06 ` Ken Raeburn
2018-07-22 16:44 ` Paul Eggert
2018-08-01 7:57 ` Paul Eggert
2018-08-01 11:59 ` Eli Zaretskii
2018-08-02 2:06 ` Paul Eggert
2018-08-02 13:49 ` Eli Zaretskii
2018-07-22 19:57 ` Achim Gratz
2018-04-21 16:46 ` Markus Triska
2018-04-21 17:09 ` Eli Zaretskii
2018-04-21 17:27 ` Markus Triska
2018-04-21 18:37 ` Paul Eggert
2018-04-21 22:42 ` Richard Stallman
2018-04-22 2:43 ` Eli Zaretskii
2018-04-23 3:34 ` Richard Stallman
2018-04-23 4:21 ` Paul Eggert
2018-04-23 13:13 ` Stefan Monnier
2018-04-24 2:54 ` Richard Stallman
2018-04-24 4:34 ` Paul Eggert
2018-04-25 1:05 ` Richard Stallman
2018-04-23 15:18 ` Eli Zaretskii
2018-04-24 18:56 ` Emanuele Santoro
2018-04-26 15:52 ` Glenn Morris
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