Ars combinatoria [.].
Leibniz, Gottfried Wilhelm.
Verlag: Frankfurt, Heinrich Christoph Cröcker, 1690.
Gebraucht
Hardcover
Verkäufer
Antiquariat INLIBRIS Gilhofer Nfg. GmbH, Vienna, A, Österreich
Verkäuferbewertung 5 von 5 Sternen
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Beschreibung
Beschreibung:
4to. (3), 78 pp. With an engraved plate bound as a frontispiece. Contemporary marbled boards. Second edition of Leibniz's groundbreaking work on combinatorics. It was first published in 1666 as "Dissertatio de arte combinatoria", expanded from the author's thesis "Disputatio arithmetica de complexionibus", with which he earned the venia legendi. This unauthorized re-release, produced 24 years later, caused Leibniz to respond with corrections in the Acta Eruditorum of 1691. Both editions are extremely rare; NUC lists no more than two copies of the present one. - This is Leibniz's earliest work in combinatorics, the branch of mathematics concerned with the study of finite or countable discrete structures. It thus constitutes an early and important contribution to the scientific foundations of modern computer engineering. "In this treatise, Leibniz undertook that part of his grand plan that aimed at achieving a complete set of possible connections of terms, and the mathematical conception of this problem he named 'ars combinatoria' - a name that would stick" (cf. Cantor). This early work of Leibniz is all the more remarkable for the "very modest specialized knowledge that he then possessed [and which] is reflected in the 'Dissertatio de arte combinatoria'" (DSB). - Somewhat browned throughout as common due to paper. Trimmed rather closely, with some professional remarginings at the top edge near the end of the book and repairs to the gutter of the title page (loss of a few letters at the very left, some unobtrusively supplied). A single copy in auction records (1998: Reiss 65, lot 583: 65,000 DM). Apart from the frontispiece, VD 17 cites 33 numbered plates - in apparent error, for no known copy contains more than this single plate. - VD 17, 12:194409W. Poggendorff I, 1413. DSB VIII, 153 & 160. Cantor III, 43-45. NDB XIV, 122. Cf. Ravier 6. Bestandsnummer des Verkäufers 47278
Bibliografische Details
Titel: Ars combinatoria [.].
Verlag: Frankfurt, Heinrich Christoph Cröcker, 1690.
Einband: Hardcover
Beste Suchergebnisse beim ZVAB
Ars Combinatoria, in qua ex arithmeticæ fundamentis complicationum ac transpositionum doctrina novis præceptis exstruiter, & usus ambarum per universum scientiarum orbem ostenditur; nova etiam artis meditandi.
Verlag:
Frankfurt Christopher Cröker, 1690
Gebraucht
Softcover
Anbieter: Shapero Rare Books, London, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Second edition; 4to (18.5 x 14.5 cm); engraved frontispiece, tables in the text, decorative initials, typographic headpiece, contents faintly toned but overall clean; early 19th century half vellum with marbled boards, manuscript title to spine, small bookplate of the same period in the upper left corner of the front pastedown, the name scratched out and the number '192' in manuscript, calf a little toned, boards rubbed with wear at the edges, very good, unsophisticated condition; 78pp. Second edition of Leibniz's groundbreaking early work on combinatorics, a highly original proposal in logic and mathematical philosophy expanded from his thesis Disputatio arithmetica de complexionibus and first published with the title Dissertatio de arte combinatoria in 1666. Both editions of the text are rare in commerce, with only one copy of each noted in auction records over the last two decades. Leibniz's Arte Combinatoria is concerned with two issues, the development of a system of symbols denoting human concepts so that they could be symbolically manipulated 'to discover new truths and find proofs for the old ones', and a 'meta-science' for 'investigating the various methods and procedures (deductive and inductive, empirical and logical) internal to each scientific field' (Mugnai, Leibniz: Dissertation on Combinatorial Art, Oxford University Press, 2020). These would remain major pre-occupations for Leibniz throughout his life. Though the book made Leibniz famous among European intellectuals it was written before he had thoroughly studied mathematics. He responded to this unauthorised edition with a note in the scientific journal Acta Erudatorium, writing that though the text was 'not sufficiently polished' it contained '"many new meditations" he did not regret concerning "the art of discovery" and the "excellent" idea of an alphabet of human thoughts' (Mugnai). Artikel-Nr. 114780
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