Leibniz on Binary

Leibniz on Binary PDF Author: Lloyd Strickland
Publisher: MIT Press
ISBN: 0262544342
Category : Mathematics
Languages : en
Pages : 243

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Book Description
The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.

Leibniz on Binary

Leibniz on Binary PDF Author: Lloyd Strickland
Publisher: MIT Press
ISBN: 0262544342
Category : Mathematics
Languages : en
Pages : 243

Get Book Here

Book Description
The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.

Leibniz on Binary

Leibniz on Binary PDF Author: Gottfried Wilhelm Freiherr von Leibniz
Publisher:
ISBN: 9780262372138
Category : Binary system (Mathematics)
Languages : en
Pages :

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Book Description
"Among his extraordinary mathematical and philosophical achievements, Gottfried Wilhelm Leibniz (1646-1716) invented binary arithmetic, the representational basis for today's world of digital computing and communications. This book will be the first to make a selection of his writings available in English. Strickland and Lewis provide an accessible introduction to Leibniz through some twenty mostly unpublished manuscripts dealing with binary notation, algorithms for binary arithmetic, and related topics. The book includes an introduction analyzing the history of the binary system and Leibniz's claim to priority and short introductions to each of the chapters"--

Leibniz on Binary

Leibniz on Binary PDF Author: Lloyd Strickland
Publisher: MIT Press
ISBN: 0262372126
Category : Mathematics
Languages : en
Pages : 243

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Book Description
The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.

The Early Mathematical Manuscripts of Leibniz

The Early Mathematical Manuscripts of Leibniz PDF Author: Gottfried Wilhelm Freiherr von Leibniz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 250

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Book Description


Confessio Philosophi

Confessio Philosophi PDF Author: Gottfried Wilhelm Leibniz
Publisher: Yale University Press
ISBN: 0300138393
Category : Philosophy
Languages : la
Pages : 220

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Book Description
This volume contains papers that represent Leibniz's early thoughts on the problem of evil, centring on a dialogue, the Confessio philosophi, in which he formulates a general account of God's relation to sin and evil that becomes a fixture in his thinking. How can God be understood to be the ultimate cause, asks Leibniz, without God being considered as the author of sin, a conclusion incompatible with God's holiness? Leibniz's attempts to justify the way of God to humans lead him to deep discussion of related topics: the nature of free choice, the problems of necessitarianism and fatalism, the nature of divine justice and holiness. All but one of the writings presented here are available in English for the first time.

The I Ching

The I Ching PDF Author: Cary F. Baynes
Publisher: [Princeton, N.J.] : Princeton University Press
ISBN:
Category : Body, Mind & Spirit
Languages : en
Pages : 814

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Book Description
A classic book of Chinese philosophy.

Ideas That Created the Future

Ideas That Created the Future PDF Author: Harry R. Lewis
Publisher: MIT Press
ISBN: 026236221X
Category : Computers
Languages : en
Pages : 518

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Book Description
Classic papers by thinkers ranging from from Aristotle and Leibniz to Norbert Wiener and Gordon Moore that chart the evolution of computer science. Ideas That Created the Future collects forty-six classic papers in computer science that map the evolution of the field. It covers all aspects of computer science: theory and practice, architectures and algorithms, and logic and software systems, with an emphasis on the period of 1936-1980 but also including important early work. Offering papers by thinkers ranging from Aristotle and Leibniz to Alan Turing and Nobert Wiener, the book documents the discoveries and inventions that created today's digital world. Each paper is accompanied by a brief essay by Harry Lewis, the volume's editor, offering historical and intellectual context.

Leibniz: Philosophical Essays

Leibniz: Philosophical Essays PDF Author: Gottfried Wilhelm Leibniz
Publisher: Hackett Publishing
ISBN: 1603849580
Category : Philosophy
Languages : en
Pages : 386

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Book Description
Although Leibniz's writing forms an enormous corpus, no single work stands as a canonical expression of his whole philosophy. In addition, the wide range of Leibniz's work--letters, published papers, and fragments on a variety of philosophical, religious, mathematical, and scientific questions over a fifty-year period--heightens the challenge of preparing an edition of his writings in English translation from the French and Latin.

Sleight of Mind

Sleight of Mind PDF Author: Matt Cook
Publisher: MIT Press
ISBN: 0262542293
Category : Mathematics
Languages : en
Pages : 369

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Book Description
This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.

Protogaea

Protogaea PDF Author: Gottfried Wilhelm Leibniz
Publisher: University of Chicago Press
ISBN: 0226112977
Category : Science
Languages : en
Pages : 216

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Book Description
Protogaea, an ambitious account of terrestrial history, was central to the development of the earth sciences in the eighteenth century and provides key philosophical insights into the unity of Gottfried Wilhelm Leibniz’s thought and writings. In the book, Leibniz offers observations about the formation of the earth, the actions of fire and water, the genesis of rocks and minerals, the origins of salts and springs, the formation of fossils, and their identification as the remains of living organisms. Protogaea also includes a series of engraved plates depicting the remains of animals—in particular the famous reconstruction of a “fossil unicorn”—together with a cross section of the cave in which some fossil objects were discovered. Though the works of Leibniz have been widely translated, Protogaea has languished in its original Latin for centuries. Now Claudine Cohen and Andre Wakefield offer the first English translation of this central text in natural philosophy and natural history. Written between 1691 and 1693, and first published after Leibniz’s death in 1749, Protogaea reemerges in this bilingual edition with an introduction that carefully situates the work within its historical context.