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Tuesday, July 13, 2010

Grice on the null-set

Oddly, Grice used the null set symbol only once in "Reply to Richards". The proof editors at the Clarendon Press misinterpreted Grice's handwriting and had it as the Greek letter phi.

From an online source:

"The null set symbol (Ø) first appeared in
N. Bourbaki,
Éléments de mathématique Fasc.1: Les structures fondamentales de l'analyse; Liv.1: Theorie de ensembles. (Fascicule de resultants) (1939)."

"certaines propriétés... ne sont vraies pour aucun élément de E... la partie qu’elles définissent est appelée la partie vide de E, et designée par la notation Ø." (p. 4.)"

"André Weil (1906-1998) says in his autobiography that he was responsible for the symbol: "Wisely, we had decided to publish an installment establishing the system of notation for set theory, rather than wait for the detailed treatment that was to follow: it was high time to fix these notations once and for all, and indeed the ones we proposed, which introduced a number of modifications to the notations previously in use, met with general approval. Much later, my own part in these discussions earned me the respect of my daughter Nicolette, when she learned the symbol Ø for the empty set at school and I told her that I had been personally responsible for its adoption. The symbol came from the Norwegian alphabet, with which I alone among the Bourbaki group was familiar."

"The citation above is from page 114 of André Weil's The Apprenticeship of a Mathematician, Birkhaeuser Verlag, Basel-Boston-Berlin, 1992. Translated from the French."

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