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Lot 158
BOOLE, GEORGE. 1815-1864. An Investigation of the Laws of Thought. London: Walton and Maberly. Cambridge: Macmillan, 1854.
4 June 2014, 13:00 EDT
New YorkSold for US$1,750 inc. premium
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BOOLE, GEORGE. 1815-1864.
An Investigation of the Laws of Thought. London: Walton and Maberly. Cambridge: Macmillan, 1854.
8vo. [4], vi, [4], 424 pp. Errata leaf at front following "Note on Prop. H." Without ad pages. Period pebbled brown cloth, spine gilt-lettered. Title-page linen-backed covering an old ink-stamp.
Provenance: Liverpool Free Public Library (bookplate at end, withdrawal stamp, spine numbering).
FIRST EDITION, ONE OF THE TWO FOUNDATIONAL WORKS OF BOOLEAN ALGEBRA. "Boole invented the first practical system of logic in algebraic form, which enabled more advances in logic to be made in the decades of the nineteenth century than in the twenty-two centuries preceding. Boole's work led to the creation of set theory and probability theory in mathematics, to the philosophical work of Peirce, Russell, Whitehead, and Wittgenstein, and to computer technology via the master's thesis of Claude Shannon [see lot 162], who recognized that the true/false values in Boole's two-valued logic were analogous to the open and closed states of electric circuits.
"'Since Boole showed that logics can be reduced to very simple algebraic systems—known today as Boolean Algebras—it was possible for Babbage and his successors to design organs for a computer that could perform the necessary logical tasks ... [Boole's] remark about a "special law to which the symbols of quantity are not subject" is very important: this law in effect is that x2=x for every x in his system. Now in numerical terms this equation or law has as its only solution 0 and 1. This is why the binary system plays so vital a role in modern computers: their logical parts are in effect carrying out binary operations....' (Goldstine 37-38)"(Origins of Cyberspace 224). Norman 266.
8vo. [4], vi, [4], 424 pp. Errata leaf at front following "Note on Prop. H." Without ad pages. Period pebbled brown cloth, spine gilt-lettered. Title-page linen-backed covering an old ink-stamp.
Provenance: Liverpool Free Public Library (bookplate at end, withdrawal stamp, spine numbering).
FIRST EDITION, ONE OF THE TWO FOUNDATIONAL WORKS OF BOOLEAN ALGEBRA. "Boole invented the first practical system of logic in algebraic form, which enabled more advances in logic to be made in the decades of the nineteenth century than in the twenty-two centuries preceding. Boole's work led to the creation of set theory and probability theory in mathematics, to the philosophical work of Peirce, Russell, Whitehead, and Wittgenstein, and to computer technology via the master's thesis of Claude Shannon [see lot 162], who recognized that the true/false values in Boole's two-valued logic were analogous to the open and closed states of electric circuits.
"'Since Boole showed that logics can be reduced to very simple algebraic systems—known today as Boolean Algebras—it was possible for Babbage and his successors to design organs for a computer that could perform the necessary logical tasks ... [Boole's] remark about a "special law to which the symbols of quantity are not subject" is very important: this law in effect is that x2=x for every x in his system. Now in numerical terms this equation or law has as its only solution 0 and 1. This is why the binary system plays so vital a role in modern computers: their logical parts are in effect carrying out binary operations....' (Goldstine 37-38)"(Origins of Cyberspace 224). Norman 266.