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Author : Fulvia Skof
Publisher :
ISBN 13 : 9788847018372
Total Pages : 204 pages
Book Rating : 4.0/5 (183 download)
Download or read book Giuseppe Peano Between Mathematics and Logic written by Fulvia Skof and published by . This book was released on 2011-05-03 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fulvia Skof
Publisher : Springer Science & Business Media
ISBN 13 : 8847018366
Total Pages : 198 pages
Book Rating : 4.8/5 (47 download)
Download or read book Giuseppe Peano between Mathematics and Logic written by Fulvia Skof and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.
Author : Giuseppe Peano
Publisher : Toronto: University of Toronto Press
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)
Download or read book Selected Works of Giuseppe Peano written by Giuseppe Peano and published by Toronto: University of Toronto Press. This book was released on 1973 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Kennedy
Publisher : Springer Science & Business Media
ISBN 13 : 9400989849
Total Pages : 238 pages
Book Rating : 4.4/5 (9 download)
Download or read book Peano written by H. Kennedy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.
Author : Roman Murawski
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)
Download or read book Giuseppe Peano written by Roman Murawski and published by . This book was released on 1985 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hubert C. Kennedy
Publisher :
ISBN 13 : 9781487589172
Total Pages : 262 pages
Book Rating : 4.5/5 (891 download)
Download or read book Selected Works of Giuseppe Peano written by Hubert C. Kennedy and published by . This book was released on 1973 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decade before 1900, the Italian mathematician Giuseppe Peano was one of the most original and influential pioneers of modern mathematical logic. He made significant contributions to the development of the foundations of mathematics and the axiomatic method (for example, his postulates for the natural numbers), dimension theory (including the space-filling curve), measure theory, vector analysis, differential equations, and the rigorization of analysis. Several of Peano's works have been translated into other languages; here for the first time is a generous selection of works translated into English. Fifteen articles, one booklet, and parts of two books and one monograph, published between 1883 and 1921, chosen with the interests of mathematicians and logicians in mind, are included. Each selection is preceded by an introductory note. The volume also contains a biographical sketch, a chronological list of Peano's publications (larger by one fifth than any previously published list), and a bibliography on the life and work of Peano. This selection will appeal especially to historians of mathematics and logic, but also to those mathematicians and logicians who wish to know more about how their subject came to be.
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.L/5 ( download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giuseppe Peano
Publisher : Springer Science & Business Media
ISBN 13 : 1461221323
Total Pages : 160 pages
Book Rating : 4.4/5 (612 download)
Download or read book Geometric Calculus written by Giuseppe Peano and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calcolo Geometrico, G. Peano's first publication in mathematical logic, is a model of expository writing, with a significant impact on 20th century mathematics. Kannenberg's lucid and crisp translation, Geometric Calculus, will appeal to historians of mathematics, researchers, graduate students, and general readers interested in the foundations of mathematics and the development of a formal logical language. The book has never been reprinted in its entirety, and only two chapters have ever been translated into English. Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic.
Author : Lukas M. Verburgt
Publisher : Bloomsbury Publishing
ISBN 13 : 1350228869
Total Pages : 321 pages
Book Rating : 4.3/5 (52 download)
Download or read book Aristotle's Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Author : Anton Dumitriu
Publisher : Routledge
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (97 download)
Download or read book History of Logic written by Anton Dumitriu and published by Routledge. This book was released on 1977 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1977. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Frédéric Brechenmacher
Publisher : Birkhäuser
ISBN 13 : 3319400827
Total Pages : 316 pages
Book Rating : 4.3/5 (194 download)
Download or read book Images of Italian Mathematics in France written by Frédéric Brechenmacher and published by Birkhäuser. This book was released on 2016-10-13 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another. The focus is above all on the Peninsula’s influence on French mathematicians, counterbalancing the historically predominant perception that French mathematics was a model for Italian mathematicians. In the process, the book details a subtle network of relations between the two countries, where mathematical exchanges fit into the changing and evolving framework of Italian political and academic structures. It reconsiders the issue of nationalities in all of its complexity, an aspect often neglected in research on the history of mathematics. The works in this volume are selected contributions from a conference held in Lille and Lens (France) in November 2013 on Images of Italian Mathematics in France from Risorgimento to Fascism. The authors include respected historians of mathematics, philosophers of science, historians, and specialists for Italy and intellectual relations, ensuring the book will be of great interest to their peers.
Author : Roman Murawski
Publisher : BRILL
ISBN 13 : 9042030917
Total Pages : 327 pages
Book Rating : 4.0/5 (42 download)
Download or read book Essays in the Philosophy and History of Logic and Mathematics written by Roman Murawski and published by BRILL. This book was released on 2015-06-29 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.
Author : Paola Cantù
Publisher : Springer Nature
ISBN 13 : 3031421906
Total Pages : 333 pages
Book Rating : 4.0/5 (314 download)
Download or read book Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle written by Paola Cantù and published by Springer Nature. This book was released on 2024-01-23 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.
Author : Howard Bloom
Publisher : Prometheus Books
ISBN 13 : 1616145528
Total Pages : 555 pages
Book Rating : 4.6/5 (161 download)
Download or read book The God Problem written by Howard Bloom and published by Prometheus Books. This book was released on 2012-08-30 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: God’s war crimes, Aristotle’s sneaky tricks, Einstein’s pajamas, information theory’s blind spot, Stephen Wolfram’s new kind of science, and six monkeys at six typewriters getting it wrong. What do these have to do with the birth of a universe and with your need for meaning? Everything, as you’re about to see. How does the cosmos do something it has long been thought only gods could achieve? How does an inanimate universe generate stunning new forms and unbelievable new powers without a creator? How does the cosmos create? That’s the central question of this book, which finds clues in strange places. Why A does not equal A. Why one plus one does not equal two. How the Greeks used kickballs to reinvent the universe. And the reason that Polish-born Benoît Mandelbrot—the father of fractal geometry—rebelled against his uncle. You’ll take a scientific expedition into the secret heart of a cosmos you’ve never seen. Not just any cosmos. An electrifyingly inventive cosmos. An obsessive-compulsive cosmos. A driven, ambitious cosmos. A cosmos of colossal shocks. A cosmos of screaming, stunning surprise. A cosmos that breaks five of science’s most sacred laws. Yes, five. And you’ll be rewarded with author Howard Bloom’s provocative new theory of the beginning, middle, and end of the universe—the Bloom toroidal model, also known as the big bagel theory—which explains two of the biggest mysteries in physics: dark energy and why, if antimatter and matter are created in equal amounts, there is so little antimatter in this universe. Called "truly awesome" by Nobel Prize–winner Dudley Herschbach, The God Problem will pull you in with the irresistible attraction of a black hole and spit you out again enlightened with the force of a big bang. Be prepared to have your mind blown. From the Hardcover edition.
Author : Mark Zegarelli
Publisher : John Wiley & Sons
ISBN 13 : 0471799416
Total Pages : 384 pages
Book Rating : 4.4/5 (717 download)
Download or read book Logic For Dummies written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2006-11-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.
Author : Francesca Boccuni
Publisher : Taylor & Francis
ISBN 13 : 1000508110
Total Pages : 419 pages
Book Rating : 4.0/5 (5 download)
Download or read book Origins and Varieties of Logicism written by Francesca Boccuni and published by Taylor & Francis. This book was released on 2021-11-29 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics—neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition—which define the prospects of logicism in the years to come. This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.
Author : Johan van Benthem
Publisher : MIT Press
ISBN 13 : 9780262720243
Total Pages : 390 pages
Book Rating : 4.7/5 (22 download)
Download or read book Language in Action written by Johan van Benthem and published by MIT Press. This book was released on 1995 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.
