Leibniz on Binary

Leibniz on Binary
Author: Lloyd Strickland
Publisher: MIT Press
Total Pages: 243
Release: 2022-10-25
Genre: Mathematics
ISBN: 0262372126

The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language.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of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language.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
Total Pages: 243
Release: 2022-11-15
Genre: Mathematics
ISBN: 0262544342

The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language.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of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language.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

Leibniz
Author: George MacDonald Ross
Publisher: Oxford University Press, USA
Total Pages: 136
Release: 1984
Genre: Biography & Autobiography
ISBN:

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

Protogaea

Protogaea
Author: Gottfried Wilhelm Leibniz
Publisher: University of Chicago Press
Total Pages: 216
Release: 2008-09-15
Genre: Science
ISBN: 0226112977

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.

Randomness and Complexity

Randomness and Complexity
Author: Cristian Calude
Publisher: World Scientific
Total Pages: 466
Release: 2007
Genre: Science
ISBN: 9812770828

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.

The Meaning of Proofs

The Meaning of Proofs
Author: Gabriele Lolli
Publisher: MIT Press
Total Pages: 177
Release: 2022-09-27
Genre: Mathematics
ISBN: 0262371049

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.

Ideas That Created the Future

Ideas That Created the Future
Author: Harry R. Lewis
Publisher: MIT Press
Total Pages: 518
Release: 2021-02-02
Genre: Computers
ISBN: 026236221X

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.