8vo, pp. 32, ; a very good copy, sewn as issued, paper back strip mostly split, number stamp to the head of the title page.
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Die Axiome der Wahrscheinlichkeitsrechnung.
Rare first edition of this doctoral dissertation on the solution of Hilbert’s sixth problem, written under the supervision of David Hilbert. The problem posed tried to axiomatize those branches of science in which mathematics is prevalent. Broggi here aims to establish a system with which to prove the consistency, completeness and the mutual independence of the axioms, following the model of Hilbert’s geometry.
Broggi (1880-1865) is one of the neglected figures in modern mathematical economics, an eminent academician, he held office in various seats at different institutions, producing numerous works.
Schneider, Entwicklung der Wahrscheinlichkeitstheorie, 367 ff.
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A PRESENTATION COPYFROM HERSCHEL TO LACROIX HERSCHEL, John F.W.
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Presentation copy of one of Herschel’s earliest papers, an offprint from the Philosophical Transactions inscribed by the author to Silvestre Lacroix. Though the majority of his scientific celebrity was founded on his later work in astronomy, John Herschel’s (1792–1871) early promotion of continental analysis proved a significant contribution to British mathematics. With fellow undergraduates at Cambridge, principally Charles Babbage and George Peacock, Herschel established in 1811 the Analytical Society, which proved instrumental in ending the isolation of the Cambridge curriculum from continental mathematics and promoting the work of European mathematicians. First among these was Silvestre Lacroix (1765–1843), to whom this copy is inscribed, and whose Traité du calcul différentiel et du calcul integral was translated by Herschel in the same year.
MOORE, George Edward (1873-1958), philosopher.
Autograph testimonial signed (‘G. E. Moore’) for Alice Ambrose.