Boole georg (2 Ergebnisse)

(London, Richard and John E. Taylor, 1844). 4to. No wrappers as extracted from "Philosophical Transactions" 1844 - Part II. Pp. 225-282. Clean and fine. First appearance of Boole's main paper on the Calculus.George Boole is mostly known for his "An Investigation on the Laws of Thought" 1854 and his developments of a form of symbolic logic, called Boolean Algebra. But he also did importent work on the Calculus, Differential Equations and the Theory of probabilities.In 1843 the schoolmaster Boole finished a lengthy paper on differential equations, combining an exponential substitution and variation of parameters with the separation of symbols method. The paper was too long for the Cambridge Mathematical Journal. Gregory, and later De Morgan, encouraged him to submit it to the Royal Society. The first referee rejected Boole's paper, but the second recommended it for the Gold Medal for the best mathematical paper written in the years 1841 - 1844, and this recommendation was accepted. In 1844 the Royal Society published Boole's paper (the paper offered), and awarded him the Gold Medal, the first Gold Medal awarded by the Society to a mathematician.…

Cambridge, Macmillan, Barclay, and Macmillan, 1848. No wrappers as extracted from "The Cambridge and Dublin Mathematical Journal. Edited by W. Thomson." Vol. III. Pp. 183-198. Having the titlepage (2) pp. to the entire volume. First printing of this major paper in the founding of mathematical logic and pure mathematics. The paper offered here is a continuation of Boole's "The Mathematical Analysis of Logic"(1847), pioneering the assimilation of logic to mathematics.Boole showed that how mathematical techniques could be applied to the study of logic, and as such he laid the foundations for the axiomatic and deductive treatment og logic, the Boolean algebra, which find imortent applications in both probability theory and computing. This mathematication of logic was undertaken by Frege and brought to a climax by Whitehead and Russell. Boolean algebra was used for this purpose.Boole's work contains what Bertrand Russell called the greatest discovery of the nineteenth century: the nature of pure mathematics.…