BERNOULLI, Jacob (1654-1705). Ars Conjectandi, opus posthumum. Accedit tractatus de seriebus infinitis, et epistola gallicè scripta de ludo pilae reticularis, edited by Nicholas Bernoulli, Basle: impensis Thurnisiorum, 1713, 4°, FIRST EDITION, folding page of woodcut diagrams, 2 folding letterpress tables, woodcut title device, some woodcut diagrams in text, woodcut decorations and initials (X1r and X2v slightly soiled, lower margin of 2C4 torn with loss to the last two catch-numerals, and with neat, old repair, d3 with small piece torn from corner of lower margin), contemporary red boards (spine faded and scuff-marked, corners rubbed, old ink stain on upper cover). [Brunet I, 803; Dibner 110; Horblit 12; Honeyman 291; Norman 216; PMM 179; Sparrow 21]

细节
BERNOULLI, Jacob (1654-1705). Ars Conjectandi, opus posthumum. Accedit tractatus de seriebus infinitis, et epistola gallicè scripta de ludo pilae reticularis, edited by Nicholas Bernoulli, Basle: impensis Thurnisiorum, 1713, 4°, FIRST EDITION, folding page of woodcut diagrams, 2 folding letterpress tables, woodcut title device, some woodcut diagrams in text, woodcut decorations and initials (X1r and X2v slightly soiled, lower margin of 2C4 torn with loss to the last two catch-numerals, and with neat, old repair, d3 with small piece torn from corner of lower margin), contemporary red boards (spine faded and scuff-marked, corners rubbed, old ink stain on upper cover). [Brunet I, 803; Dibner 110; Horblit 12; Honeyman 291; Norman 216; PMM 179; Sparrow 21]

拍品专文

A FINE COPY in modest binding and with no indications of institutional ownership. Jacob Bernoulli's posthumous treatise, the title of which refers in a literal sense to the "casting" of dice, was edited by his nephew, and to this day provides the basis, not so much for gambling methods, as insurance, statistics, mathematical heredity tables, and even opinion polls. The work is divided into four parts, the first a commentary on Huygens's De ratiociniis in aleae ludo (1657), the second a treatise on permutations and combinations (the former Bernoulli's own term), the third an application of the theory of combinations to various games of chance, and the final, more discursive part a philosophical consideration of probability as a measurable degree of certainty, necessity and chance, of moral versus mathematical expectation, and of a priori and a posteriori probability.