{"product_id":"leibniz-on-binary-isbn-9780262544344","title":"Leibniz on Binary","description":"\u003cb\u003eThe first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThe polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the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of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language.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.\u003cbr\u003e \u003cbr\u003eAs 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.List of Figures ix\u003cbr\u003eAbbreviations x\u003cbr\u003ePreface xi\u003cbr\u003eAcknowledgments xiii\u003cbr\u003eIntroduction 1\u003cbr\u003e1 Notes on Algebra, Arithmetic, and Geometric Series (October 1674) 27\u003cbr\u003e2 The Series of All Numbers, and on Binary Progression (before 15\/25 March 1679) 31\u003cbr\u003e3 Binary Progression (before 15\/25 March 1679) 35\u003cbr\u003e4 Geometric Progressions and Positional Notation (before 15\/25 March 1679) 41\u003cbr\u003e5 Binary Arithmetic Machine (before 15\/25 March 1679) 45\u003cbr\u003e6 On the Binary Progression (15\/25 March 1679) 47\u003cbr\u003e7 Attempted Expression of the Circle in Binary Progression (c. 1679) 61\u003cbr\u003e8 Sedecimal Progression (1679) 63\u003cbr\u003e9 Binary Progression Is for Theory, Sedecimal for Practice (c. 1679) 69\u003cbr\u003e10 On the Organon or the Great Art of Thinking (first half [?] of 1679) 71\u003cbr\u003e11 Binary Ancestral Calculations (early 1680s [?]) 71\u003cbr\u003e12 Sedecimal on an Envelope (c. 1682-1685) 77\u003cbr\u003e13 Remarks on Weigel (1694- mid-March 1695) 79\u003cbr\u003e14 Leibniz to Duke Rudolph August (7\/17-8\/18 May 1696) 87\u003cbr\u003e15 A Wonderful Expression of All Numbers by 1 and 0 Representing the Origin of Things from God and Nothing, or the Mystery of Creation (7\/17 May 1696) 89\u003cbr\u003e16 Wonderful Origin of All Numbers from 1 and 0, Which Serves as a Beautiful Representation of the Myster of Creation, since Everything Arises from God and Nothing Else (8\/18 May 1696) 93\u003cbr\u003e17 Leibniz to Duke Rudolph August (2\/12 January 1697) 99\u003cbr\u003e18 Duke Rudolph August to Johann Urban Müller (5\/15 January 1697) 105\u003cbr\u003e19 Leibniz to Claudio Filippo Grimaldi (mid-January-early-February 1697) 107\u003cbr\u003e20 Periods (May 1698-first half of January 1701) 121\u003cbr\u003e21 Leibniz to Philippe Naudé (15 January 1701) 121\u003cbr\u003e22 Leibniz to Joachim Bouvet (15 February 1701) 125\u003cbr\u003e23 Essays on a New Science of Numbers (26 February 1701) 135\u003cbr\u003e24 Binary Addition (spring-fall 1701 [?]) 145\u003cbr\u003e25 Periods in Binary (spring-fall 1701) 149\u003cbr\u003e26 Periods and Powers (mid-to-late June 1701 [?]) 151\u003cbr\u003e27 Demonstration That Columns of Sequences Exhibiting Powers of Arithmetic Progressions, or Numbers Composed from These, Are Periodic (November 1701) 157\u003cbr\u003e28 Joachim Bouvet to Leibniz (4 November 1701) 161\u003cbr\u003e29 Leibniz to Bouvet (early April [?] 1703) 177\u003cbr\u003e30 Explanation of Binary Arithmetic, Which Uses Only the Digits 0 and 1, with Some Remarks on Its Usefulness, and on the Light It Throws on the Ancient Chinese Figures of Fuxi (7 April 1703) 189\u003cbr\u003e31 Leibniz to César Caze (23 June 1705) 199\u003cbr\u003e32 On Binary (late June 1705) 205\u003cbr\u003eBibliography 213\u003cbr\u003eIndex 225\"A wonderful book that explains both the significance and scope of Leibniz’ binary arithmetic using original sources. The authors' clear exposition makes the genesis of binary arithmetic accessible to everyone.\"\u003cbr\u003e\u003cb\u003e—Bharath Sriraman, Professor of Mathematics, University of Montana - Missoula; Editor of \u003ci\u003eThe Handbook of the Mathematics of the Arts and Sciences, Springer Nature\u003cbr\u003e\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Strickland and Lewis present Leibniz’s development of binary through lovingly typeset translations of his papers, notes and letters, together with a contextual narrative that is both well-researched and quite enjoyable.”\u003cbr\u003e\u003cb\u003e—Simson Garfinkel, co-author of \u003ci\u003eThe Computer Book: From the Abacus to Artificial Intelligence, 250 Milestones in the History of Computing\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e \u003cbr\u003e“\u003ci\u003eLeibniz on Binary\u003c\/i\u003e enhances our understanding of how binary arithmetic was developed and sheds light on the intellectual workings of one of the inventors of the modern age.”\u003cbr\u003e\u003cb\u003e—Jim Waldo, Gordon McKay Professor of the Practice of Computer Science and CTO, John A. Paulson School of Engineering and Applied Sciences, Harvard University\u003c\/b\u003e\u003cbr\u003e \u003cbr\u003e“A fascinating read for anyone interested in how rationality combined with religious passion. This eminently readable translation highlights bold connections of newly invented binary algorithms with mechanization of thought, Chinese hexagrams, and creation out of nothing.​”\u003cbr\u003e \u003cb\u003e—Slava Gerovitch, MIT, author of\u003c\/b\u003e \u003ci\u003e\u003cb\u003eFrom Newspeak to Cyberspeak: A History of Soviet Cybernetics\u003cbr\u003e\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e“This book is a model of how the history of computer science and mathematics should be written. Leibniz pointed out the importance of putting ourselves into the place of others, and here we get to put ourselves into the shoes of Leibniz himself, as we're treated to dozens of his private notes, carefully translated into idiomatic English and thoroughly explained.”\u003cbr\u003e\u003cb\u003e—Don Knuth, Professor Emeritus of The Art of Computer Programming, Stanford University\u003c\/b\u003eLloyd Strickland is Professor of Philosophy and Intellectual History at Manchester Metropolitan University, UK. He is the author of \u003ci\u003eLeibniz and the Two Sophies\u003c\/i\u003e, \u003ci\u003eLeibniz’s Monadology\u003c\/i\u003e, and various other books.\u003cbr\u003e \u003cbr\u003eHarry Lewis is Gordon McKay Research Professor of Computer Science at Harvard University. He is the coauthor of \u003ci\u003eBlown to Bits: Your Life, Liberty, and Happiness after the Digital Explosion\u003c\/i\u003e, coeditor of \u003ci\u003eWhat Is College For?\u003c\/i\u003e, and editor of \u003ci\u003eIdeas That Created the Future\u003c\/i\u003e (MIT Press).","brand":"The MIT Press","offers":[{"title":"Default Title","offer_id":46301184131301,"sku":"NP9780262544344","price":35.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780262544344.jpg?v=1767731297","url":"https:\/\/k12savings.com\/products\/leibniz-on-binary-isbn-9780262544344","provider":"K12savings","version":"1.0","type":"link"}