On 23.06.2016 14:08, Antoon Pardon wrote:
Op 23-06-16 om 13:45 schreef Chris Angelico:
On Thu, Jun 23, 2016 at 7:23 PM, Antoon Pardon
<antoon.par...@rece.vub.ac.be> wrote:
I don't care. In modern mathematics, zero is usaly defined as the
empty set. The empty set contains nothing, but it isn't nothing
itself. Otherwise the empty set would be the same as the set
containing the empty set, since they both would contain the same,
being nothing.
Zero is *the cardinality of* the empty set. The set containing the
empty set has a cardinality of 1.
In modern set theory where the integers are defined as specific kind
of sets, zero *is* the empty set.


Modes are like waves. If one wave arrives being "modern", lets watch out for the next.

There not just one set-theory, math is neither revealed nor received on some mount - even if the notion of truth has some theological connotations ;)
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