On 06 Jan 2015, at 18:36, John Clark wrote:
On Tue, Jan 6, 2015 at 5:19 AM, Bruno Marchal <marc...@ulb.ac.be>
wrote:
> That would made "existence" into a property, which is something
usually avoided
If it's not a property then existence and non-existence have no
consequences,
No, all logicians have agreed that "existence" is a logical symbol.
In our finitist context ExP(x) can be seen as an abbreviation of
P(0) v P(1) v P(2) v P(3), v ...
That is existence is an infinite disjunction (like AxP(x) is
equivalent with an infinite conjunction).
Of course existence and non existence have still consequences. Ex
(prime-number(x)), for example, and
~Ex(prime(x) & even(x) and x > 2), ...
Philosophers knows that to make existence into a property re-introduce
essentialism and category confusion. It is a rare point where all
analytical (and even non analytical) philosophers agree, and logicians
agree.
Bruno
so why all the passion over the God exists/doesn't-exist debate, or
the why does the universe exist debate? It doesn't matter if God, or
anything else for that matter, exists or not.
> Of course, not everything exists. Some thing does not exist, like
a couple of non null integers x y verifying
2 *( y^2) = x^2.
The integers that solve that equation have the same property that
the largest prime number does, the property of non-existence.
John K Clark
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