Date: Apr 5, 2013 10:12 AM
Author: Tanu R.
Subject: Math on planet earth
As an aside

One way to define infinite sets is:

Removing finite sets from infinite sets does not modify

the cardinality of these infinite sets.

Another way to define infinite sets is:

There are proper subsets of infinite sets that have the

the same cardinality of these supersets.

The axiom of infinity defines that infinite sets exist in

math that is established under acception of this axiom.

In this math infinite sets not only are not required to be

constructed from finitely (or infinitely) many operations

on finite sets but this is also not possible.

This includes in the reverse way that infinite sets cannot

be modified in their cardinality by applying finitely many

finite operations on these infinite sets.

In this way finite and infinite sets are cleanly and consistently

separated from each another so there are no contradictions.