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Author : N. I. Styazhkin
Publisher : MIT Press (MA)
ISBN 13 : 9780262690492
Total Pages : 333 pages
Book Rating : 4.97/5 ( download)
Download or read book History of Mathematical Logic from Leibnitz to Peano written by N. I. Styazhkin and published by MIT Press (MA). This book was released on 1975-06-01 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 333 pages
Book Rating : 4.84/5 ( download)
Download or read book History of Mathematical Logic from Leibniz to Peano written by and published by . This book was released on 1969 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolai Ivanovitch Stiajkin
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.75/5 ( download)
Download or read book History of Mathematical Logic from Leibniz to Peano written by Nikolai Ivanovitch Stiajkin and published by . This book was released on 1969 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roman Murawski
Publisher : BRILL
ISBN 13 : 9042030917
Total Pages : 327 pages
Book Rating : 4.16/5 ( 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 : Jean van Heijenoort
Publisher : Harvard University Press
ISBN 13 : 9780674324497
Total Pages : 684 pages
Book Rating : 4.98/5 ( download)
Download or read book From Frege to Gödel written by Jean van Heijenoort and published by Harvard University Press. This book was released on 1967 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.
Author : Fulvia Skof
Publisher : Springer Science & Business Media
ISBN 13 : 8847018366
Total Pages : 198 pages
Book Rating : 4.65/5 ( 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 : P. H. Nidditch
Publisher : Burns & Oates
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.01/5 ( download)
Download or read book The Development of Mathematical Logic written by P. H. Nidditch and published by Burns & Oates. This book was released on 1998 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a clear and straightforward summary of the history of formal logic from the time of Aristotle to that of Godel. Nidditch discusses the four main trends at the root of modern logic: Aristotle's theory of the syllogism; the idea of a universal language; the idea of the parts of mathematics forming deductive systems; and the discoveries in mathematics in the early nineteenth century. He goes on to outline the chief ideas and theories of the main writers on mathematical logic, including Jevons, Peirce, Boole, Russell, and Whitehead. The text is easy to read and gives the beginning student a valuable perspective on mathematical logic.
Author : Zoran Ognjanović
Publisher : Springer
ISBN 13 : 3319470124
Total Pages : 215 pages
Book Rating : 4.22/5 ( download)
Download or read book Probability Logics written by Zoran Ognjanović and published by Springer. This book was released on 2016-10-24 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning. The authors' primary interest is mathematical techniques for infinitary probability logics used to obtain results about proof-theoretical and model-theoretical issues such as axiomatizations, completeness, compactness, and decidability, including solutions of some problems from the literature. An extensive bibliography is provided to point to related work, and this book may serve as a basis for further research projects, as a reference for researchers using probability logic, and also as a textbook for graduate courses in logic.
Author : H. Kennedy
Publisher : Springer Science & Business Media
ISBN 13 : 9400989849
Total Pages : 238 pages
Book Rating : 4.49/5 ( 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 : Jean van Heijenoort
Publisher : Harvard University Press
ISBN 13 : 0674257243
Total Pages : 684 pages
Book Rating : 4.45/5 ( download)
Download or read book From Frege to Gödel written by Jean van Heijenoort and published by Harvard University Press. This book was released on 2002-01-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege’s Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege’s book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim’s theorem, and he and Fraenkel amend Zermelo’s axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter’s famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.
