Marty,
On 07 Jun 2009, at 02:03, Brent Meeker wrote:
m.a. wrote:
*Okay, so is it true to say that things written in EXTENSION are
never
in formula style but are translated into formulas when we put them
into INTENSION form? You can see that my difficulty with math
arises from an
: Re: The seven step-Mathematical preliminaries 2
m.a. wrote:
*Okay, so is it true to say that things written in EXTENSION are never
in formula style but are translated into formulas when we put them
into INTENSION form? You can see that my difficulty with math
arises from an inability
Bruno,
Yes, this seems very clear and will be helpful to refer back to if
necessary. m.a.
- Original Message -
From: Bruno Marchal marc...@ulb.ac.be
To: everything-list@googlegroups.com
Sent: Sunday, June 07, 2009 4:33 AM
Subject: Re: The seven step-Mathematical
: Bruno Marchal
To: everything-list@googlegroups.com
Sent: Wednesday, June 03, 2009 1:15 PM
Subject: Re: The seven step-Mathematical preliminaries 2
? ? A =
? ? B =
A ? ? =
B ? ? =
N ? ? =
B ? ? =
? ? B
: The seven step-Mathematical preliminaries 2
∅ ∪ A =
∅ ∪ B =
A ∪ ∅ =
B ∪ ∅ =
N ∩ ∅ =
B ∩ ∅ =
∅ ∩ B =
∅ ∩ ∅ =
∅ ∪ ∅ =
http://iridia.ulb.ac.be/~marchal/
--~--~-~--~~~---~--~~
You received
Marty, Kim,
I realize that, now, the message I have just sent does not have the
right symbols. Apparently my computer does not understand the
Thunderbird!
From now on I will use capital words for the mathematical symbols.
And I will write mathematical expression in bold.
For examples:
To: everything-list@googlegroups.com
Sent: Wednesday, June 03, 2009 1:15 PM
Subject: Re: The seven step-Mathematical preliminaries 2
∅ ∪ A =
∅ ∪ B =
A ∪ ∅ =
B ∪ ∅ =
N ∩ ∅ =
B ∩ ∅ =
∅ ∩ B =
∅ ∩ ∅ =
∅ ∪ ∅ =
---
To unsubscribe from this group, send email
, 2009 1:15 PM
Subject: Re: The seven step-Mathematical preliminaries 2
∅ ∪ A =
∅ ∪ B =
A ∪ ∅ =
B ∪ ∅ =
N ∩ ∅ =
B ∩ ∅ =
∅ ∩ B =
∅ ∩ ∅ =
∅ ∪ ∅ =
---
To unsubscribe from this group, send email to
everything-list+unsubscr...@googlegroups.com
For more options, visit
If it helps, here's a screenshot of how the symbols are supposed to look:
http://img34.imageshack.us/img34/3345/picture2uzk.png
From: marc...@ulb.ac.be
To: everything-list@googlegroups.com
Subject: Re: The seven step-Mathematical preliminaries 2
Date: Sat, 6 Jun 2009 22:36:01 +0200
Marty,
Bruno
Marchal
To: everything-list@googlegroups.com
Sent: Saturday, June 06, 2009 4:36 PM
Subject: Re: The seven step-Mathematical preliminaries 2
We do have problem of symbols, with the mail. I don't see any rectangle in
the message below!
Take it easy and . We will go very slowly
To: everything-list@googlegroups.com
Sent: Wednesday, June 03, 2009 1:15 PM
Subject: Re: The seven step-Mathematical preliminaries 2
=== Intension and extension
In the case of finite and little set we have seen that we can define them
: The seven step-Mathematical preliminaries 2
We do have problem of symbols, with the mail. I don't see any
rectangle in the message below!
Take it easy and . We will go very slowly. It will also be the exam
periods. There is no rush ...
Have a good holiday
Bruno
- Original Message
expression just slip out from my
mind. smaller than is much better! Thanks for helping,
Bruno
- Original Message -
From: Bruno Marchal
To: everything-list@googlegroups.com
Sent: Wednesday, June 03, 2009 1:15 PM
Subject: Re: The seven step-Mathematical preliminaries 2
On this date, you made the following correction: You cannot write D = 4*x
..., But you wrote D= 4*x in the exercise just above it. I don't get
the distinction between your use of the equation and mine.
- Original Message -
From: Bruno Marchal
Exercise 2: I will
m.a. wrote:
*Bruno,*
* I've encountered some difficulty with the examples below.
You say that in extension describes exhaustion or
quasi-exhaustion. And you give the example: **B = {3, 6, 9, 12, ...
99}.*
* Then you define in intension with exactly the same type
Bruno,
When I tried to copy the symbols from the URL cited below, I
found that my email server was not able to reproproduce the intersection or the
union symbol. See below:
From: Bruno Marchal
To: everything-list@googlegroups.com
∅ ∪ A = I see two
Okay, so is it true to say that things written in EXTENSION are never in
formula style but are translated into formulas when we put them into INTENSION
form? You can see that my difficulty with math arises from an inability to
master even the simplest definitions.marty a.
-
m.a. wrote:
*Okay, so is it true to say that things written in EXTENSION are never
in formula style but are translated into formulas when we put them
into INTENSION form? You can see that my difficulty with math
arises from an inability to master even the simplest definitions.
10:03 AM
Subject: Re: The seven step-Mathematical preliminaries 2
Hi Marty,
On 05 Jun 2009, at 00:30, m.a. wrote:
Bruno,
I don't have dyslexia
Good news.
but my keyboard doesn't contain either the UNION symbol or the INTERSECTION
symbol
On Thu Jun 4 1:15 , Bruno Marchal sent:
Very good answer, Kim,
Just a few comments. and then the sequel.
Exercice 4: does the real number square-root(2) belongs to {0, 1, 2,
3, ...}?
No idea what square-root(2) means. When I said I was innumerate I wasn't
kidding! I
could of
Hi Marty,
On 04 Jun 2009, at 01:11, m.a. wrote:
Bruno,
I stopped half-way through because I'm not at all sure of
my answers and would like to have them confirmed or corrected, if
necessary, rather than go on giving wrong answers. marty a.
No problem.
Exercise 1: Could
On Thu, Jun 4, 2009 at 7:28 AM, kimjo...@ozemail.com.au
kimjo...@ozemail.com.au wrote:
On Thu Jun 4 1:15 , Bruno Marchal sent:
Very good answer, Kim,
Just a few comments. and then the sequel.
Exercice 4: does the real number square-root(2) belongs to {0, 1, 2,
3, ...}?
No idea what
Hi Kim,
On 04 Jun 2009, at 14:28, kimjo...@ozemail.com.au wrote:
OK - I find this quite mind-blowing; probably because I now
understand it for the first
time in my life. So how did it get this rather ridiculous name of
square root? What's it
called in French?
Racine carrée.
Very good answer, Kim,
Just a few comments. and then the sequel.
Exercice 4: does the real number square-root(2) belongs to {0, 1, 2,
3, ...}?
No idea what square-root(2) means. When I said I was innumerate I
wasn't kidding! I could of course look
it up or ask my mathematics teacher
@googlegroups.com
Sent: Wednesday, June 03, 2009 1:15 PM
Subject: Re: The seven step-Mathematical preliminaries 2
=== Intension and extension
Before defining intersection, union and the notion of subset, I would like
to come back on the ways we can define some
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