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Science Forum Index » Mathematics Forum » Common properties of an element?
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| Mark |
 Posted: Thu May 01, 2008 7:33 am |
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If we have the multiset A = {x,y}, then it is easy to see that x and y can
have something in common.
If we have the multiset A = {x}, is it possible for x to have anything in
common with itself?
Does the question make any sense?
Will x have nothing in common with itself?
Will x have everything in common with itself? |
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| Mariano Suárez-Alvarez |
| Posted: Thu May 01, 2008 7:33 am |
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On 1 mayo, 10:10, "Mark" <u...@home.com> wrote:
Quote: "Tim Little" <t...@soprano.little-possums.net> wrote in message
news:slrng1jeql.89t.tim@soprano.little-possums.net...
On 2008-05-01, Mark <u...@home.com> wrote:
Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim
I can't. I'm just checking to see if anyone else can.
Pick an x (anything: for example, the computer screen
you are reading this) and consider the set A = { x }.
This of *any* property of x. Now: does it have that
property in common with itself?
-- m |
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| Tim Little |
| Posted: Thu May 01, 2008 7:45 am |
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On 2008-05-01, Mark <user@home.com> wrote:
Quote: Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Quote: Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim |
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| Mark |
| Posted: Thu May 01, 2008 8:10 am |
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"Tim Little" <tim@soprano.little-possums.net> wrote in message
news:slrng1jeql.89t.tim@soprano.little-possums.net...
Quote: On 2008-05-01, Mark <user@home.com> wrote:
Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim
I can't. I'm just checking to see if anyone else can. |
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| Mark |
| Posted: Thu May 01, 2008 9:23 am |
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"Mariano Suárez-Alvarez" <mariano.suarezalvarez@gmail.com> wrote in message
news:6bb51d07-1ddd-4281-8430-bf30e99f8830@a23g2000hsc.googlegroups.com...
Quote: On 1 mayo, 10:10, "Mark" <u...@home.com> wrote:
"Tim Little" <t...@soprano.little-possums.net> wrote in message
news:slrng1jeql.89t.tim@soprano.little-possums.net...
On 2008-05-01, Mark <u...@home.com> wrote:
Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim
I can't. I'm just checking to see if anyone else can.
Pick an x (anything: for example, the computer screen
you are reading this) and consider the set A = { x }.
This of *any* property of x. Now: does it have that
property in common with itself?
-- m
Can an element x have anything in common with itself? |
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| Mariano Suárez-Alvarez |
| Posted: Thu May 01, 2008 10:16 am |
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Guest
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On May 1, 11:23 am, "Mark" <u...@home.com> wrote:
Quote: "Mariano Suárez-Alvarez" <mariano.suarezalva...@gmail.com> wrote in message
news:6bb51d07-1ddd-4281-8430-bf30e99f8830@a23g2000hsc.googlegroups.com...
On 1 mayo, 10:10, "Mark" <u...@home.com> wrote:
"Tim Little" <t...@soprano.little-possums.net> wrote in message
news:slrng1jeql.89t.tim@soprano.little-possums.net...
On 2008-05-01, Mark <u...@home.com> wrote:
Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim
I can't. I'm just checking to see if anyone else can.
Pick an x (anything: for example, the computer screen
you are reading this) and consider the set A = { x }.
This of *any* property of x. Now: does it have that
property in common with itself?
-- m
Can an element x have anything in common with itself?
Tim and I, in our posts, have, essentially, asked you
to name *one* property that any x (you can pick
absolutely anything for x) does not have in common with
itself.
You have not even tried to answer.
-- m |
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| Mariano Suárez-Alvarez |
| Posted: Thu May 01, 2008 10:36 am |
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Guest
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On May 1, 5:21 pm, "Mark" <u...@home.com> wrote:
Quote: "Mariano Suárez-Alvarez" <mariano.suarezalva...@gmail.com> wrote in message
news:4e3c8129-0136-4b46-8c05-f96486900341@26g2000hsk.googlegroups.com...
On May 1, 11:23 am, "Mark" <u...@home.com> wrote:
"Mariano Suárez-Alvarez" <mariano.suarezalva...@gmail.com> wrote in
message
news:6bb51d07-1ddd-4281-8430-bf30e99f8830@a23g2000hsc.googlegroups.com...
On 1 mayo, 10:10, "Mark" <u...@home.com> wrote:
"Tim Little" <t...@soprano.little-possums.net> wrote in message
news:slrng1jeql.89t.tim@soprano.little-possums.net...
On 2008-05-01, Mark <u...@home.com> wrote:
Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim
I can't. I'm just checking to see if anyone else can.
Pick an x (anything: for example, the computer screen
you are reading this) and consider the set A = { x }.
This of *any* property of x. Now: does it have that
property in common with itself?
-- m
Can an element x have anything in common with itself?
Tim and I, in our posts, have, essentially, asked you
to name *one* property that any x (you can pick
absolutely anything for x) does not have in common with
itself.
You have not even tried to answer.
That's because that is the question which I have asked and you just repeated
my question in a more formal way.
I gave Tim an answer.
-- m
(Please try to quote properly the messages you
are replying to: it is otherwise impossible
to see what you are responding to.)
Pick an x. For example, let x be Napoleon.
Can you think of any property of Napoleon?
For example: Napoleon has the property of
being (of having been, to be precise...) French.
Now, either Napoleon shares the property of
being French with himself or he doesn't?
Which is it?
-- m |
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| Mark |
| Posted: Thu May 01, 2008 3:21 pm |
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Guest
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"Mariano Suárez-Alvarez" <mariano.suarezalvarez@gmail.com> wrote in message
news:4e3c8129-0136-4b46-8c05-f96486900341@26g2000hsk.googlegroups.com...
On May 1, 11:23 am, "Mark" <u...@home.com> wrote:
Quote: "Mariano Suárez-Alvarez" <mariano.suarezalva...@gmail.com> wrote in
message
news:6bb51d07-1ddd-4281-8430-bf30e99f8830@a23g2000hsc.googlegroups.com...
On 1 mayo, 10:10, "Mark" <u...@home.com> wrote:
"Tim Little" <t...@soprano.little-possums.net> wrote in message
news:slrng1jeql.89t.tim@soprano.little-possums.net...
On 2008-05-01, Mark <u...@home.com> wrote:
Does the question make any sense?
Does make a lot of sense to me, but maybe I'm just misreading.
Will x have everything in common with itself?
Can you think of any property at all that x does not have in common
with itself?
- Tim
I can't. I'm just checking to see if anyone else can.
Pick an x (anything: for example, the computer screen
you are reading this) and consider the set A = { x }.
This of *any* property of x. Now: does it have that
property in common with itself?
-- m
Can an element x have anything in common with itself?
Tim and I, in our posts, have, essentially, asked you
to name *one* property that any x (you can pick
absolutely anything for x) does not have in common with
itself.
You have not even tried to answer.
That's because that is the question which I have asked and you just repeated
my question in a more formal way.
I gave Tim an answer.
-- m |
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| porky_pig_jr@my-deja.com |
| Posted: Thu May 01, 2008 4:25 pm |
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Guest
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On May 1, 8:33 am, "Mark" <u...@home.com> wrote:
Quote: If we have the multiset A = {x,y}, then it is easy to see that x and y can
have something in common.
If we have the multiset A = {x}, is it possible for x to have anything in
common with itself?
Why are you calling A a 'multiset' rather than a regular set? Any
particular reason? Do you belong to some kind of a secret society of
multisetters?
Quote: Does the question make any sense?
Yes, the question makes lots of sense. See below.
Quote: Will x have nothing in common with itself?
Let's define 'nothing' as a null set, {}, then {x} = {x} U {}. Seems
like the answer is YES!
Quote: Will x have everything in common with itself?
There is no "everything", at least in ZF framework. "There is no
universe". Therefore the answer is NO. |
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