Re: Is the empty set a number?
- From: Golden Boar <goldenboar@xxxxxxxxxxx>
- Date: Mon, 28 Apr 2008 18:13:07 -0700 (PDT)
On 7 Apr, 16:46, jonas.thornv...@xxxxxxxxxxx wrote:
On 7 Apr, 17:36, jonas.thornv...@xxxxxxxxxxx wrote:
Isthe empty seta number?
I am also wondering ifthe empty setisn't a missnaming?
For all i know {3}-{3}={} or it could be {3}-{3}=
All this leaves me with one question what is the set when there is no
values, and i must say it leaves me abit cofuseed, is there really an
empty set?
If so what is actually the set, i always thought the group initself
was the set.
And there is no member in the group, there is no group and no set, so
what is actuallythe empty set.
JT
I have also been thinking about this recently. Here's my thoughts.
If nothing exists, it is only possible to create a set which contains
nothing, and a set which contains all things.
If nothing exists, then nothing is all things, and the set which
contains nothing is equal to the set which contains all things.
Let nothing exist.
There is a set A that contains nothing. A = {}
There is a set B that contains all things. B = {...}
There is a set C that contains A and B. C = {A,B} = {{},{...}}
The set C is the set of constructible sets if nothing exists.
A = B = {}
C = {A,B} = {{},{}} = {{}}
If nothing exists, it is only possible to construct a single unique
set.
Given that an element is anything, then nothing is not an element, and
there cannot be a set that contains nothing.
Given that all things are elements, then there can be a set that
contains all things.
Given that nothing is all things, then the set of all things is
nothing.
So, let nothing exist.
There is a set A which is the set of all things.
There is a set B which is the set of constructible sets when nothing
exists.
A = {...} = {}
B = {A} = {{...}} = {{}}
Therefore, the empty set is the unique element of the set of
constructible sets when nothing exists.
We can use sets A and B above for the basis of number systems and
geometry.
The empty set is a virtual point.
The set of constructible sets when nothing exists is a point.
A point is the set of virtual points.
A set of points between 2 points is a line segment.
A line segment can be used as a number line.
.
- References:
- Is the empty set a number?
- From: jonas . thornvall
- Re: Is the empty set a number?
- From: jonas . thornvall
- Is the empty set a number?
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