Set theory

We mentioned previously that certain paradoxes in set theory arose shortly after Cantor's works were published.

The above argument, known as Russell's Paradox, was discovered by Bertrand Russell in 1901. Set theory itself began a few decades earlier with the work of George Cantor.

The serious study of models of axiomatic set theories depends heavily on methods from mathematical logic which are outside the scope of these Notes.

The one thing that all alternative set theories have in common is the fact that they are alternatives to ZF or ZFC.