On Sunday, August 9, 2015 at 2:57:20 AM UTC+5:30, Marko Rauhamaa wrote:
Marko Rauhamaa :
Steven D'Aprano :
The contemporary standard approach is from Zermelo-Fraenkel set
theory: define 0 as the empty set, and the successor to n as the
union of n and the set containing n:
0 = {}
On 2015-07-24, Paul Rubin no.email@nospam.invalid wrote:
Grant Edwards invalid@invalid.invalid writes:
You can always pick out the topologist at a conference: he's the one
trying to dunk his coffee cup in his doughnut.
Did you hear about the idiot topologist? He couldn't tell his butt
from
On 24/07/2015 15:13, Grant Edwards wrote:
On 2015-07-24, Paul Rubin no.email@nospam.invalid wrote:
Grant Edwards invalid@invalid.invalid writes:
You can always pick out the topologist at a conference: he's the one
trying to dunk his coffee cup in his doughnut.
Did you hear about the idiot
Grant Edwards invalid@invalid.invalid writes:
Did you hear about the idiot topologist? He couldn't tell his butt
from a hole in the ground, but he *could* tell his butt from two
holes in the ground.
Wow. Now I know _two_ topologist jokes. The girls are going to be
impressed!
I got it
Chris Angelico ros...@gmail.com:
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
taking a left turn at Jupiter... we can predict exactly what angle to
fire the rockets at in order to get where we want to
On 2015-07-23, Marko Rauhamaa ma...@pacujo.net wrote:
Chris Angelico ros...@gmail.com:
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
taking a left turn at Jupiter... we can predict exactly what angle to
On Fri, Jul 24, 2015 at 7:59 AM, Marko Rauhamaa ma...@pacujo.net wrote:
Laura Creighton l...@openend.se:
In a message of Fri, 24 Jul 2015 00:29:28 +0300, Marko Rauhamaa writes:
At the time I was in college I heard topology was very fashionable
among mathematicians. That was because it was one
On 2015-07-23 22:50, Mark Lawrence wrote:
On 23/07/2015 22:29, Marko Rauhamaa wrote:
Chris Angelico ros...@gmail.com:
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
taking a left turn at Jupiter... we can
In a message of Thu, 23 Jul 2015 23:01:51 +0100, MRAB writes:
And an Apple engineer would suggest buying a new car that runs only on
its manufacturer's brand of fuel. :-)
Before you do that, read this:
http://teslaclubsweden.se/test-drive-of-a-petrol-car/
(ps, if you can read Swedish, the
On 23/07/2015 22:29, Marko Rauhamaa wrote:
Chris Angelico ros...@gmail.com:
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
taking a left turn at Jupiter... we can predict exactly what angle to
fire the
Ian Kelly ian.g.ke...@gmail.com:
Gravity existed before Newton, but the *theory* of gravity did not, so
he composed the theory?
Ironically, gravity is maybe the least well understood phenomenon in
modern physics.
Marko
--
https://mail.python.org/mailman/listinfo/python-list
On 23/07/2015 23:01, MRAB wrote:
On 2015-07-23 22:50, Mark Lawrence wrote:
On 23/07/2015 22:29, Marko Rauhamaa wrote:
Chris Angelico ros...@gmail.com:
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
In a message of Fri, 24 Jul 2015 00:29:28 +0300, Marko Rauhamaa writes:
Chris Angelico ros...@gmail.com:
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
taking a left turn at Jupiter... we can predict
Laura Creighton l...@openend.se:
In a message of Fri, 24 Jul 2015 00:29:28 +0300, Marko Rauhamaa writes:
At the time I was in college I heard topology was very fashionable
among mathematicians. That was because it was one of the last
remaining research topics that didn't yet have an application.
On Fri, Jul 24, 2015 at 7:50 AM, Mark Lawrence breamore...@yahoo.co.uk wrote:
Heard the one about the three engineers in the car that breaks down?
The chemical engineer suggests that they could have contaminated fuel. They
should try and get a sample and get someone to take it to a lab for
On Thursday, July 23, 2015 at 12:28:19 PM UTC+5:30, Gregory Ewing wrote:
Rustom Mody wrote:
Ive known good ones) most practicing-mathematicians proceed on the
assumption
that they *discover* math and not that they *invent* it.
For something purely abstract like mathematics, I don't
On Friday, July 24, 2015 at 2:59:41 AM UTC+5:30, Marko Rauhamaa wrote:
Chris :
Fortunately, we don't need to completely understand it. New Horizons
reached Pluto right on time after a decade of flight that involved
taking a left turn at Jupiter... we can predict exactly what angle to
On Thursday, July 23, 2015 at 7:08:10 PM UTC-5, Grant Edwards wrote:
You can always pick out the topologist at a conference:
he's the one trying to dunk his coffee cup in his
doughnut.
[Hey, how often do you get to use a topology joke.]
Don't sale yourself short Grant. You get extra bonus
Grant Edwards invalid@invalid.invalid writes:
You can always pick out the topologist at a conference: he's the one
trying to dunk his coffee cup in his doughnut.
[Hey, how often do you get to use a topology joke.]
Did you hear about the idiot topologist? He couldn't tell his butt from
a hole
On Thursday, July 23, 2015 at 9:03:15 PM UTC-5, Paul Rubin wrote:
Did you hear about the idiot topologist? He couldn't tell his butt from
a hole in the ground, but he *could* tell his butt from two holes in the
ground.
This sounds more like a riddle than a joke. So in other
words: the message
On Jul 22, 2015 9:46 PM, Steven D'Aprano
steve+comp.lang.pyt...@pearwood.info wrote:
On Thursday 23 July 2015 04:09, Rustom Mody wrote:
tl;dr To me (as unprofessional a musician as mathematician) I find it
arbitrary that Newton *discovered* gravity whereas Beethoven *composed*
the 9th
On Fri, Jul 24, 2015 at 6:59 AM, Marko Rauhamaa ma...@pacujo.net wrote:
Ian Kelly ian.g.ke...@gmail.com:
Gravity existed before Newton, but the *theory* of gravity did not, so
he composed the theory?
Ironically, gravity is maybe the least well understood phenomenon in
modern physics.
Rustom Mody wrote:
Ive known good ones) most practicing-mathematicians proceed on the assumption
that they *discover* math and not that they *invent* it.
For something purely abstract like mathematics, I don't
see how there's any distinction between discovering and
inventing. They're two words
On Thursday, July 23, 2015 at 12:28:19 PM UTC+5:30, Gregory Ewing wrote:
Rustom Mody wrote:
Ive known good ones) most practicing-mathematicians proceed on the
assumption
that they *discover* math and not that they *invent* it.
For something purely abstract like mathematics, I don't
Steven D'Aprano st...@pearwood.info:
I think that we can equally choose the natural numbers to be
axiomatic, or sets to be axiomatic and derive natural numbers from
them. Neither is more correct than the other.
Mathematicians quit trying to define what natural numbers mean and just
chose a
One way to look at this is to see that arithmetic is _behaviour_.
Like all behaviours, it is subject to reification:
see: https://en.wikipedia.org/wiki/Reification
and especially as it is done in the German language, reification has
this nasty habit of turning behaviours (i.e. things that are
On Thu, 23 Jul 2015 02:58 am, Steven D'Aprano wrote:
1. We have reason to expect that the natural numbers are absolutely
fundamental and irreducible
That's wrong. If we had such a reason, we could state it: the reason we
expect natural numbers are irreducible is ... and fill in the blank.
On Wednesday, July 22, 2015 at 11:22:57 PM UTC+5:30, Oscar Benjamin wrote:
On Wed, 22 Jul 2015 at 18:01 Steven D'Aprano st...@pearwood.info wrote:
I think that the critical factor there is that it is all in the past tense.
Today, I believe, the vast majority of mathematicians fall into
Nice Thanks for that Laura!
I am reminded of
| The toughest job Indians ever had was explaining to the whiteman who their
| noun-god is. Repeat. That's because God isn't a noun in Native America.
| God is a verb!
From http://hilgart.org/enformy/dma-god.htm
On Wednesday, July 22, 2015 at
In a message of Wed, 22 Jul 2015 10:49:13 -0700, Rustom Mody writes:
Nice Thanks for that Laura!
I am reminded of
| The toughest job Indians ever had was explaining to the whiteman who their
| noun-god is. Repeat. That's because God isn't a noun in Native America.
| God is a verb!
From
On Wed, 22 Jul 2015 11:34 pm, Rustom Mody wrote:
On Tuesday, July 21, 2015 at 4:09:56 PM UTC+5:30, Steven D'Aprano wrote:
We have no reason to expect that the natural numbers are anything less
than absolutely fundamental and irreducible (as the Wikipedia article
above puts it). It's
Steven D'Aprano st...@pearwood.info writes:
That's wrong. If we had such a reason, we could state it: the reason
we expect natural numbers are irreducible is ... and fill in the
blank. But I don't believe that such a reason exists (or at least, as
far as we know).
However, neither do we have
On Wed, 22 Jul 2015 at 18:01 Steven D'Aprano st...@pearwood.info wrote:
I think that the critical factor there is that it is all in the past tense.
Today, I believe, the vast majority of mathematicians fall into two camps:
(1) Those who just use numbers without worrying about defining them
On Wednesday, July 22, 2015 at 11:18:23 PM UTC+5:30, Paul Rubin wrote:
Remember also that in ultrafinitism, Peano Arithmetic goes from 1 to
88 (due to Shachaf on irc #haskell). ;-)
No No No
Its 42; Dont you know?
--
https://mail.python.org/mailman/listinfo/python-list
On Tuesday, July 21, 2015 at 4:09:56 PM UTC+5:30, Steven D'Aprano wrote:
We have no reason to expect that the natural numbers are anything less than
absolutely fundamental and irreducible (as the Wikipedia article above
puts it). It's remarkable that we can reduce all of mathematics to
On Thu, Jul 23, 2015 at 11:44 AM, Dennis Lee Bieber
wlfr...@ix.netcom.com wrote:
On Thu, 23 Jul 2015 03:21:24 +1000, Steven D'Aprano st...@pearwood.info
declaimed the following:
Are tomatoes red?
In answer I offer a novel: /Fried Green Tomatoes at the Whistle Stop
Cafe/ (and lots of
On Thursday 23 July 2015 03:48, Paul Rubin wrote:
Steven D'Aprano st...@pearwood.info writes:
That's wrong. If we had such a reason, we could state it: the reason
we expect natural numbers are irreducible is ... and fill in the
blank. But I don't believe that such a reason exists (or at
On Thursday 23 July 2015 04:09, Rustom Mody wrote:
tl;dr To me (as unprofessional a musician as mathematician) I find it
arbitrary that Newton *discovered* gravity whereas Beethoven *composed*
the 9th symphony.
Newton didn't precisely *discover* gravity. I'm pretty sure that people
before
On 22/07/2015 19:14, Laura Creighton wrote:
I don't suppose anybody could spare a bit of time for something that is
slightly more important IMHO, like getting the core workflow going?
I'm fairly well convinced that the vast majority of people here aren't
in the slightest bit interested in
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