> On 1 Jul 2018, at 01:07, Russell Standish <[email protected]> wrote:
>
> On Thu, Jun 28, 2018 at 09:45:35AM +0200, Bruno Marchal wrote:
>>
>> The quantum vacuum is not vacuum at all. Then there are as many notion of
>> nothing than there are notions of thing. If the thing are number, the
>> nothing is the number zero. If the things are sets, the nothing is the empty
>> set, etc. Nothing has no meaning in the absolute, but make sense when we are
>> precise on which things we are talking about. That is why theories of
>> nothing, everything and things are the same thing.
>
> Interesting. I might quote this in an argument I'm having with a
> friend. You could just as easily say there are many different notions
> of "everything", and in a sense nothing is the complement, or dual of
> everything.
You need to be very careful. Such a complement of a set will not be a set in
most set theories. The “complement of the empty set is the universe of all set,
which is not a set, but a class, and will not obey to most axioms of set
theory.
>
> For anything one can say about everything, the opposite is true of nothing.
>
> eg if everything has property A, nothing does not have property A
Every set x verify x=x, but then the nothing can no more be payed by the empty
set { }, because obviously { } = { }.
Or you mean the set of everything has property A, but then it has no notion of
property applicable to it, or with a lot of caution, like in the reflection
principles in set theory.
>
> Mind, my friend would argue that everything and nothing are ineffable,
> and have no properties.
That can make sense, at least for the “everything”. But this is vague, and can
also be like new-age bs. I don’t know of course.
Bruno
>
> --
>
> ----------------------------------------------------------------------------
> Dr Russell Standish Phone 0425 253119 (mobile)
> Principal, High Performance Coders
> Visiting Senior Research Fellow [email protected]
> Economics, Kingston University http://www.hpcoders.com.au
> ----------------------------------------------------------------------------
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