…is always light

# Tag Archives: emptyness

## Do we need a new ”set” – going beyond the empty set

I have to correct some things I’ve written about the empty set.

Let’s start. Let A = {0}. Now A \ {0} = {} = Ø.

That is: We get the empty set. Let’s go beyond that.

I’ve written in this blog earlier ”emptyness can be created, ‘nothing’ can’t be created; nothing is from which the creation begins”.

At the beginning of this post, we created emptyness, we got the empty set as a result. By the means of the set theory we can’t get rid of the empty set. It’s as empty space as we can get. Also, in the poetic thought of mine I’ve written, that emptyness can be created, ‘nothing’ can’t be created.

So, we can’t get to this ‘nothing’, we can just see, that it is a ”state” that is ”before” the empty set, for the sake of perfectness. 🙂

A symbol to this ”state” could be

The order: ‘nothing’ → emptyness → something.

This new “collection of nothing” can’t be considered really a set; it actually doesn’t exist, but still, it is there — at least it was… Perhaps it will be… Somewhere…

## Nothing, emptyness and creation – just a thought

‘Nothing’ ”exists” before existence. Emptyness can be created; ‘nothing’ can’t be created; it is from which the creation begins.

When the creation starts from ‘nothing’, the result should be as pure as possible; especially as a result no evil should come into existence.

Image courtesy of dan at FreeDigitalPhotos.net

When I was young, about 22 years old, I got inspiration from mathematics to write a book about ‘nothing’… I guess I won’t see the day in this life when I write a book on anything…

Things that got me inspired at the first place on ‘nothing’ were real number epsilon and the experience of seeing some philosophical deepness in the concept of limit. It is often the apparently irrelevant details that catch my attention…

The thought above (on ‘nothing’) is just some kind of hmm.. poetry…

An e-book, that you might be interested in:

## About zero and the empty set

If zero (0) is added to any real number a, as a result we get a: a + 0 = a. What now was added to a? Nothing? I would say wrong. In some sense.

Namely from our friend, the set theory, point of view set A = {0} is not empty, there is something, namely number zero. If one would say, that 0 is nothing, in set A weren’t anything. In our case there clearly now is something, element 0.

Somehow philosophically 0 isn’t in same extent ”nothing”, that it would lead from view of set theory as the only element in the set to same state as the empty set ({} or ∅), that is so empty, that there simply is nothing; the empty set is more ”nothing” than 0. As  a number, zero is considered as neutral element in some cases. But it obviously is more… What?

As to empty set, more philosophical question is, does the empty set contain itself – and is it then empty.

Emptyness and nothingness have their differences.

Let us imagine an empty room where there is four walls and a roof. Emptyness gives there space. And also this emptyness, space, has many meanings; if the room has only little space you would probably feel quite uncomfortable there.

In music the fact the there isn’t a note is known as pause. In this case emptyness in the notes gives rhythm to the music, without this non-existence of a note (nothingness from point view of sound?) we would’n have music as we know it.

In speech silence, a pause, can give one some kind of power to the speech itself.

Emptyness and nothingness really are powerful from their beings!

I consider ”nothing” as something that doesn’t exist. Still it does.

Update! (16/5/2016)

In order to express all this more precisely zero is interpreted as an positive integer, but not genuinely positive integer; ”nothing” can’t be a positive integer. As to 0 + a = a, to number a is added an positive integer – something else than ”nothing”. This makes me consider the empty set being ”more nothing” than number zero. In this particular case to a is added a neutral element zero – not ”nothing”, in some sense…

It seems we’re pushing the limits of semantics of ”nothing” to new boundaries… Anyway it is essentially something else than ”emptyness”. See my post on creation.

The question now is: Is the rank of {} zero (0)? Do we need to “divide” zero; do we need a new “zero”?