Dissertatio De Arte Combinatoria In Qua Ex Arithmeticae Fundamentis

Author : Gottfried Wilhelm Leibniz
Publisher : Hachette Livre - Bnf
Page : 86 pages
File Size : 49,5 Mb
Release : 2012-03
Category : Mathematics
ISBN : 2012657354

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Dissertatio de Arte Combinatoria, In Qua, Ex Arithmeticae Fundamentis, by Gottfried Wilhelm Leibniz Pdf

Dissertatio de arte combinatoria , in qua, ex arithmeticae fundamentis, complicationum ac transpositionum doctrina novis praeceptis exstruitur et usus ambarum per universum scientiarum orbem ostenditur... Autore Gottfredo Guilielmo Leibnuzio,...Date de l'edition originale : 1666Ce livre est la reproduction fidele d'une oeuvre publiee avant 1920 et fait partie d'une collection de livres reimprimes a la demande editee par Hachette Livre, dans le cadre d'un partenariat avec la Bibliotheque nationale de France, offrant l'opportunite d'acceder a des ouvrages anciens et souvent rares issus des fonds patrimoniaux de la BnF.Les oeuvres faisant partie de cette collection ont ete numerisees par la BnF et sont presentes sur Gallica, sa bibliotheque numerique.En entreprenant de redonner vie a ces ouvrages au travers d'une collection de livres reimprimes a la demande, nous leur donnons la possibilite de rencontrer un public elargi et participons a la transmission de connaissances et de savoirs parfois difficilement accessibles.Nous avons cherche a concilier la reproduction fidele d'un livre ancien a partir de sa version numerisee avec le souci d'un confort de lecture optimal. Nous esperons que les ouvrages de cette nouvelle collection vous apporteront entiere satisfaction.Pour plus d'informations, rendez-vous sur www.hachettebnf.frhttp://gallica.bnf.fr/ark:/12148/bpt6k625780

Author : Massimo Mugnai,Han van Ruler
Publisher : Oxford University Press
Page : 240 pages
File Size : 42,5 Mb
Release : 2020-05-28
Category : Philosophy
ISBN : 9780192575104

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Leibniz: Dissertation on Combinatorial Art by Massimo Mugnai,Han van Ruler Pdf

Leibniz published the Dissertation on Combinatorial Art in 1666. This book contains the seeds of Leibniz's mature thought, as well as many of the mathematical ideas that he would go on to further develop after the invention of the calculus. It is in the Dissertation, for instance, that we find the project for the construction of a logical calculus clearly expressed for the first time. The idea of encoding terms and propositions by means of numbers, later developed by Kurt Gödel, also appears in this work. In this text, furthermore, Leibniz conceives the possibility of constituting a universal language or universal characteristic, a project that he would pursue for the rest of his life. Mugnai, van Ruler, and Wilson present the first full English translation of the Dissertation, complete with a critical introduction and a comprehensive commentary.

Author : Gottfried Wilhelm Freiherr von Leibniz
Publisher : Cambridge University Press
Page : 528 pages
File Size : 50,8 Mb
Release : 1996-11-07
Category : Mathematics
ISBN : 0521576601

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Leibniz: New Essays on Human Understanding by Gottfried Wilhelm Freiherr von Leibniz Pdf

In the New Essays on Human Understanding, Leibniz argues chapter by chapter with John Locke's Essay Concerning Human Understanding, challenging his views about knowledge, personal identity, God, morality, mind and matter, nature versus nurture, logic and language, and a host of other topics. The work is a series of sharp, deep discussions by one great philosopher of the work of another. Leibniz's references to his contemporaries and his discussions of the ideas and institutions of the age make this a fascinating and valuable document in the history of ideas. The work was originally written in French, and the version by Peter Remnant and Jonathan Bennett, based on the only reliable French edition (published in 1962), first appeared in 1981 and has become the standard English translation. It has been thoroughly revised for this series and provided with a new and longer introduction, a chronology on Leibniz's life and career and a guide to further reading.

Author : Craig Bauer
Publisher : CRC Press
Page : 718 pages
File Size : 49,8 Mb
Release : 2020-05-14
Category : Mathematics
ISBN : 9780429682896

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Discrete Encounters by Craig Bauer Pdf

Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated

Author : Lutz Geldsetzer,Richard L. Schwartz
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 40,5 Mb
Release : 2012-11-30
Category : Philosophy
ISBN : 9789400753013

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Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements by Lutz Geldsetzer,Richard L. Schwartz Pdf

This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.

Author : Robin Wilson,John J. Watkins
Publisher : OUP Oxford
Page : 392 pages
File Size : 45,9 Mb
Release : 2013-06-27
Category : Mathematics
ISBN : 9780191630637

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Combinatorics: Ancient & Modern by Robin Wilson,John J. Watkins Pdf

Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.

Author : Michael L. O'Leary
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 45,8 Mb
Release : 2015-10-21
Category : Mathematics
ISBN : 9781118547915

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A First Course in Mathematical Logic and Set Theory by Michael L. O'Leary Pdf

A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.

Author : Walter Karban
Publisher : BoD – Books on Demand
Page : 242 pages
File Size : 42,7 Mb
Release : 2021-03-26
Category : Social Science
ISBN : 9783903051140

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Paradoxical World of Networks by Walter Karban Pdf

More than two decades ago, global networks promised great freedom for individual and economic developments and set out to revolutionize the world of communication and information. A critical look at developments since then, however, makes one suspect that a trend has emerged that paradoxically turns the promised freedoms into captivity. The world of communication and information has changed significantly and is on a continuing struggle for credibility. This book identifies principles and reasons that reinforce this view, as well as possible approaches to turn the interconnectedness of the world into a positive force; intended as a contribution to the discourse to lead us into the future. Many philosophical considerations, questions, and problems that have been posited and problems that have accompanied people on their way for thousands of years are also applicable to the modern world. The rapidly changing world meets the human being, who has always asked the same questions.

Author : Stuart Glennan,Phyllis Illari
Publisher : Routledge
Page : 474 pages
File Size : 40,6 Mb
Release : 2017-07-06
Category : Philosophy
ISBN : 9781317552291

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The Routledge Handbook of Mechanisms and Mechanical Philosophy by Stuart Glennan,Phyllis Illari Pdf

Scientists studying the burning of stars, the evolution of species, DNA, the brain, the economy, and social change, all frequently describe their work as searching for mechanisms. Despite this fact, for much of the twentieth century philosophical discussions of the nature of mechanisms remained outside philosophy of science. The Routledge Handbook of Mechanisms and Mechanical Philosophy is an outstanding reference source to the key topics, problems, and debates in this exciting subject and is the first collection of its kind. Comprising over thirty chapters by a team of international contributors, the Handbook is divided into four Parts: Historical perspectives on mechanisms The nature of mechanisms Mechanisms and the philosophy of science Disciplinary perspectives on mechanisms. Within these Parts central topics and problems are examined, including the rise of mechanical philosophy in the seventeenth century; what mechanisms are made of and how they are organized; mechanisms and laws and regularities; how mechanisms are discovered and explained; dynamical systems theory; and disciplinary perspectives from physics, chemistry, biology, biomedicine, ecology, neuroscience, and the social sciences. Essential reading for students and researchers in philosophy of science, the Handbook will also be of interest to those in related fields, such as metaphysics, philosophy of psychology, and history of science.

Author : Massimo Mugnai,Han van Ruler
Publisher : Oxford University Press, USA
Page : 320 pages
File Size : 46,6 Mb
Release : 2020-03-05
Category : Mathematics
ISBN : 9780198837954

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Leibniz: Dissertation on Combinatorial Art by Massimo Mugnai,Han van Ruler Pdf

Leibniz published the Dissertation on Combinatorial Art in 1666. This book contains the seeds of Leibniz's mature thought, as well as many of the mathematical ideas that he would go on to further develop after the invention of the calculus. It is in the Dissertation, for instance, that we find the project for the construction of a logical calculus clearly expressed for the first time. The idea of encoding terms and propositions by means of numbers, later developed by Kurt G�del, also appears in this work. In this text, furthermore, Leibniz conceives the possibility of constituting a universal language or universal characteristic, a project that he would pursue for the rest of his life. Mugnai, van Ruler, and Wilson present the first full English translation of the Dissertation, complete with a critical introduction and a comprehensive commentary.

Author : Frank Perlin
Publisher : BRILL
Page : 686 pages
File Size : 51,8 Mb
Release : 2020-03-02
Category : History
ISBN : 9789004414921

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City Intelligible by Frank Perlin Pdf

Perlin conjoins philosophical and socio-cultural anthropologies to derive universal foundations of human reason in terms of which cultural difference may both logically and historically be understood. Global commodification before industrialisation offers abundant evidence for the translatability of all cultures.

Author : Anonim
Publisher : Unknown
Page : 450 pages
File Size : 41,6 Mb
Release : 1936
Category : Electronic journals
ISBN : STANFORD:36105008354768

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The Journal of Symbolic Logic by Anonim Pdf

Includes lists of members.

Author : Anonim
Publisher : Unknown
Page : 1038 pages
File Size : 46,8 Mb
Release : 1976
Category : Philosophy
ISBN : STANFORD:36105008480829

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Studia Leibnitiana by Anonim Pdf

Author : Library of Congress,American Library Association. Committee on Resources of American Libraries. National Union Catalog Subcommittee
Publisher : Unknown
Page : 712 pages
File Size : 43,8 Mb
Release : 1974
Category : Catalogs, Union
ISBN : UOM:39015082987267

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The National Union Catalog, Pre-1956 Imprints by Library of Congress,American Library Association. Committee on Resources of American Libraries. National Union Catalog Subcommittee Pdf

Author : Alonzo Church
Publisher : Unknown
Page : 106 pages
File Size : 47,8 Mb
Release : 1936
Category : Logic, Symbolic and mathematical
ISBN : UOM:39015017386791

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A Bibliography of Symbolic Logic by Alonzo Church Pdf