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?
Richard's paradox In logic, Richard's paradox is a semantical antinomy of set theory and natural language first described by the French mathematician Jules Richard in 1905. The paradox is ordinarily used to motivate the importance of distinguishing carefully between mathematics and metamathematics. Kurt Gödel specifically cites Richard's antinomy as a semantical analogue to his syntactical incompleteness result in the introductory section of "On Formally Undecidable Propositions in Principia Mathematica and Related Systems I". The paradox was also a motivation of the development of predicative mathematics.
Matheme The matheme (from Greek: μάθημα "lesson") is a concept introduced in the work of the 20th century French psychoanalyst Jacques Lacan. The term matheme 'occurred for the first time in the lecture Lacan delivered on November 4, 1971...Between 1972 and 1973 he gave several definitions of it, passing from the use of the singular to the use of the plural and back again'.