The ambiguity created by the following question: Does a set that is defined as "all sets that do not include themselves" include itself as a member? Russell's paradox motivated Bertrand Russell to create a new theory of sets.
Articles on KurzweilAI.net that refer to Russell's ParadoxThe Paradigms and Paradoxes of Intelligence, Part 1: Russell's Paradox By Ray Kurzweil
The Paradigms and Paradoxes of Intelligence, Part 2: The Church-Turing Thesis By Ray Kurzweil
The Age of Spiritual Machines: Glossary By Ray Kurzweil
The Age of Intelligent Machines: Footnotes By Ray Kurzweil
The Age of Intelligent Machines, Chapter Three: Mathematical Roots By Ray Kurzweil