In logic, Richard's paradox is a semantical antinomy of set theory and natural language first described by the French mathematician Jules Richard in which year, Kurt Gödel specifically cites Richard's antinomy as a semantical analogue to his syntactical incompleteness result?
Kurt Gödel Kurt Friedrich Gödel ( , ; ] ; April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher. Considered along with Aristotle, Alfred Tarski and Gottlob Frege to be one of the most significant logicians in history, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell, Alfred North Whitehead, and David Hilbert were analyzing the use of logic and set theory to understand the foundations of mathematics pioneered by Georg Cantor.
Pocket set theory Pocket set theory (PST) is an alternative set theory in which there are only two infinite cardinal numbers, ℵ (aleph-naught, the cardinality of the set of all natural numbers) and "c" (the cardinality of the continuum). The theory was first suggested by Rudy Rucker in his "Infinity and the Mind". The details set out in this entry are due to the American mathematician Randall M. Holmes.