On Sun, 2016-08-21 at 16:56 -0400, Dianne Skoll wrote:
> On Sun, 21 Aug 2016 21:22:38 +0200
> Damian wrote:
>
> >
> > >
> > > So we define set B as everything in the universe that is not in
> > > set
> > > A. So set B is an infinite set, everything in the universe EXCEPT
> > > apples and orange
Dianne Skoll wrote on 22/08/16 8:56 AM:
> And... why can't a set contain itself?
>
It can't in standard modern set theory (ZFC), through the foundation axioms,
also known as the axiom of regularity
https://en.wikipedia.org/wiki/Axiom_of_regularity
which is a formulation that allows set theory t
On Sun, 21 Aug 2016 21:22:38 +0200
Damian wrote:
> > So we define set B as everything in the universe that is not in set
> > A. So set B is an infinite set, everything in the universe EXCEPT
> > apples and oranges.
> There is no such set B, as it would contain itself.
And... why can't a set con
On Sun, 21 Aug 2016 09:47:45 -0700
Marc Perkel wrote:
> So we define set B as everything in the universe that is not in set A.
That's a very specific kind of infinite set. It's the complement of a finite
set.
Try this one on for size:
Consider the set A of all positive integral powers of pi
On Sunday 21 August 2016 at 21:22:38, Damian wrote:
> Am 21.08.2016 um 18:47 schrieb Marc Perkel:
> > Actually - you can match an infinite set. And maybe this is what it's
> > hard for some people to wrap their head around.
> >
> > Suppose set A contains 2 items, apples and oranges.
> > So we def
Am 21.08.2016 um 18:47 schrieb Marc Perkel:
> Actually - you can match an infinite set. And maybe this is what it's
> hard for some people to wrap their head around.
>
> Suppose set A contains 2 items, apples and oranges.
> So we define set B as everything in the universe that is not in set A.
>
Actually - you can match an infinite set. And maybe this is what it's
hard for some people to wrap their head around.
Suppose set A contains 2 items, apples and oranges.
So we define set B as everything in the universe that is not in set A.
So set B is an infinite set, everything in the universe