1. Cf. Jac.B. Werke 1, pp. 235–301.
2. Eventually Daniel’s cousin Nicolaus I Bernoulli was appointed to this chair on April 8, 1722.
3. The book appeared anonymously under the title Ars Cogitandi erotematica cum Praeludio Philosophiae in usum Philosophiae Tyronum, Basileae 1715.
4. As Daniel Bernoulli refers repeatedly to them in his paper, the medieval mnemonic names of the moods, originating with Peter of Spain, are worth recalling here: 1st figure: Barbara, Celarent, Darii, Ferio 2nd figure: Cesare, Camestres, Festino, Baroco 3rd figure: Darapti, Felapton, Disamis, Datisi, Bocardo, Ferison 4th figure: Barbari, Calentes, Dibatis, Fespamo, Fresisom. This classification can be found, for instance, on pp. 148–156 of Zwinger’s Ars Cogitandi.
5. A. Arnauld, P. Nicole, La Logique ou l’art de penser, Paris 1662. Jacob Bernoulli seems to have studied the following Latin edition of the «Logique de Port-Royal»: Logica sive Ars Cogitandi in qua praeter vulgares regulas plura nova habentur ad rationem dirigendam utilia. Editio optima & ultima, Lugduni Batavorum, apud Jacobum Gaai, 1682.