Leibniz on Binary
Leibniz on Binary

Author: Lloyd Strickland

Publisher: MIT Press

Published: 2022-10-25

Total Pages: 243

ISBN-13: 0262372126

DOWNLOAD EBOOK

The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language.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of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language.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

Author: Lloyd Strickland

Publisher: MIT Press

Published: 2022-11-15

Total Pages: 243

ISBN-13: 0262544342

DOWNLOAD EBOOK

The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language.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of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language.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

Author: Gottfried Wilhelm Freiherr von Leibniz

Publisher:

Published: 2022

Total Pages:

ISBN-13: 9780262372138

DOWNLOAD EBOOK

"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
Leibniz

Author: George MacDonald Ross

Publisher: Oxford University Press, USA

Published: 1984

Total Pages: 136

ISBN-13:

DOWNLOAD EBOOK

Leven en werk van de Duitse natuurkundige en wijsgeer Gottfried Wilhelm Leibniz (1646-1716).

Randomness and Complexity
Randomness and Complexity

Author: Cristian Calude

Publisher: World Scientific

Published: 2007

Total Pages: 466

ISBN-13: 9812770828

DOWNLOAD EBOOK

The book is a collection of papers written by a selection of eminent authors from around the world in honour of Gregory Chaitin's 60th birthday. This is a unique volume including technical contributions, philosophical papers and essays.

Protogaea
Protogaea

Author: Gottfried Wilhelm Leibniz

Publisher: University of Chicago Press

Published: 2008-09-15

Total Pages: 216

ISBN-13: 0226112977

DOWNLOAD EBOOK

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.

The Meaning of Proofs
The Meaning of Proofs

Author: Gabriele Lolli

Publisher: MIT Press

Published: 2022-09-27

Total Pages: 177

ISBN-13: 0262371049

DOWNLOAD EBOOK

Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative. Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is not the mere manipulation of formulas.

Gottfried Wilhelm Leibniz
Gottfried Wilhelm Leibniz

Author: Marcelo Dascal

Publisher: Springer Science & Business Media

Published: 2007-05-16

Total Pages: 568

ISBN-13: 1402052286

DOWNLOAD EBOOK

Remembered mainly as a logician and mathematician, Leibniz also endeavored to resolve political and religious conflicts of his day by bringing opponents into negotiation. The dialectical Leibniz who emerges from the texts here translated, commented, and interpreted is certainly not the familiar one. The book sheds new light on the familiar, yet incomplete image of Leibniz, providing further reason for cherishing and cultivating the heritage of a truly great man.