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Author : Julius König
Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 download)
Download or read book Neue Grundlagen der Logik, Arithmetik und Mengenlehre written by Julius König and published by . This book was released on 1914 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gyula Kőnig
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.4/5 (869 download)
Download or read book Neue Grundlagen der Logik written by Gyula Kőnig and published by . This book was released on 1914 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 259 pages
Book Rating : 4.:/5 (64 download)
Download or read book Neue Grundlagen der Logik, Arithmetik, und Mengenlehre written by and published by . This book was released on 1914 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf Carnap
Publisher : Courier Corporation
ISBN 13 : 048614349X
Total Pages : 272 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Symbolic Logic and Its Applications written by Rudolf Carnap and published by Courier Corporation. This book was released on 2012-07-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.
Author : Paolo Mancosu
Publisher : OUP Oxford
ISBN 13 : 0191021997
Total Pages : 632 pages
Book Rating : 4.1/5 (91 download)
Download or read book The Adventure of Reason written by Paolo Mancosu and published by OUP Oxford. This book was released on 2014-01-09 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
Author : Rod G. Downey
Publisher : World Scientific
ISBN 13 : 981444927X
Total Pages : 346 pages
Book Rating : 4.8/5 (144 download)
Download or read book Proceedings of the 12th Asian Logic Conference, Wellington, New Zealand, 15-20 December 2011 written by Rod G. Downey and published by World Scientific. This book was released on 2013 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference is one of the largest meetings, and this volume represents work presented at, and arising from the 12th meeting. It collects a number of interesting papers from experts in the field. It covers many areas of logic.
Author : Jan von Plato
Publisher : Springer Nature
ISBN 13 : 3030971341
Total Pages : 221 pages
Book Rating : 4.0/5 (39 download)
Download or read book Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics written by Jan von Plato and published by Springer Nature. This book was released on 2022-05-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains English translations of Gödel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics. It also comprises most of his reading notes. This book is a testimony to Gödel's understanding of the situation of foundational research in mathematics after his great discovery, the incompleteness theorem of 1931. It is also a source for his views on his logical predecessors, from Leibniz, Frege, and Russell to his own times. Gödel's "own book on foundations," as he called it, is essential reading for logicians and philosophers interested in foundations. Furthermore, it opens a new chapter to the life and achievement of one of the icons of 20th century science and philosophy.
Author : I. Grattan-Guinness
Publisher : Princeton University Press
ISBN 13 : 9781400824045
Total Pages : 624 pages
Book Rating : 4.8/5 (24 download)
Download or read book The Search for Mathematical Roots, 1870-1940 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2011-02-11 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Author : Bernard Linsky
Publisher : Cambridge University Press
ISBN 13 : 1139497332
Total Pages : 419 pages
Book Rating : 4.1/5 (394 download)
Download or read book The Evolution of Principia Mathematica written by Bernard Linsky and published by Cambridge University Press. This book was released on 2011-06-09 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.
Author : Rod Downey
Publisher : World Scientific
ISBN 13 : 9814449288
Total Pages : 348 pages
Book Rating : 4.8/5 (144 download)
Download or read book Proceedings of the 12th Asian Logic Conference written by Rod Downey and published by World Scientific. This book was released on 2013-05-07 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference is the most significant logic meeting outside of North America and Europe, and this volume represents work presented at, and arising from the 12th meeting. It collects a number of interesting papers from experts in the field. It covers many areas of logic. Contents:Resolute Sequences in Initial Segment Complexity (G Barmpalias and R G Downey)Approximating Functions and Measuring Distance on a Graph (W Calvert, R Miller and J Chubb Reimann)Carnap and McKinsey: Topics in the Pre-History of Possible-Worlds Semantics (M J Cresswell)Limits to Joining with Generics and Randoms (A R Day and D D Dzhafarov)Freedom & Consistency (M Detlefsen)A van Lambalgen Theorem for Demuth Randomness (D Diamondstone, N Greenberg and D Turetsky)Faithful Representations of Polishable Ideals (S Gao)Further Thoughts on Definability in the Urysohn Sphere (I Goldbring)Simple Completeness Proofs for Some Spatial Logics of the Real Line (I Hodkinson)On a Question of Csima on Computation-Time Domination (X Hua, J Liu and G Wu)A Generalization of Beth Model to Functionals of High Types (F Kachapova)A Computational Framework for the Study of Partition Functions and Graph Polynomials (T Kotek, J A Makowsky and E V Ravve)Relation Algebras and R (T Kowalski)Van Lambalgen's Theorem for Uniformly Relative Schnorr and Computable Randomness (K Miyabe and J Rute)Computational Aspects of the Hyperimmune-Free Degrees (K M Ng, F Stephan, Y Yang and L Yu)Calibrating the Complexity of Δ02 Sets via Their Changes (A Nies)Topological Full Groups of Minimal Subshifts and Just-Infnite Groups (S Thomas)TW-Models for Logic of Knowledge-cum-Belief (S C-M Yang) Readership: Researchers in mathematical logic and algebra, computer scientists in artificial intelligence and fuzzy logic. Keywords:Asian Logic Conference;Logic;Computability;Set Theory;Modal Logic
Author : Felix Kaufmann
Publisher : Springer Science & Business Media
ISBN 13 : 9400997957
Total Pages : 250 pages
Book Rating : 4.4/5 (9 download)
Download or read book The Infinite in Mathematics written by Felix Kaufmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung. It was at that time the fullest systematic account from the standpoint of Husserl's phenomenology of what is known as 'finitism' (also as 'intuitionism' and 'constructivism') in mathematics. Since then, important changes have been required in philosophies of mathematics, in part because of Kurt Godel's epoch-making paper of 1931 which established the essential in completeness of arithmetic. In the light of that finding, a number of the claims made in the book (and in the accompanying articles) are demon strably mistaken. Nevertheless, as a whole it retains much of its original interest and value. It presents the issues in the foundations of mathematics that were under debate when it was written (and in some cases still are); , and it offers one alternative to the currently dominant set-theoretical definitions of the cardinal numbers and other arithmetical concepts. While still a student at the University of Vienna, Felix Kaufmann was greatly impressed by the early philosophical writings (especially by the Logische Untersuchungen) of Edmund Husser!' He was never an uncritical disciple of Husserl, and he integrated into his mature philosophy ideas from a wide assortment of intellectual sources. But he thought of himself as a phenomenologist, and made frequent use in all his major publications of many of Husserl's logical and epistemological theses.
Author : Gregory H. Moore
Publisher : Courier Corporation
ISBN 13 : 0486488411
Total Pages : 450 pages
Book Rating : 4.4/5 (864 download)
Download or read book Zermelo's Axiom of Choice written by Gregory H. Moore and published by Courier Corporation. This book was released on 2012-09-20 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"--
Author :
Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.3/5 (91 download)
Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1915 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (5 download)
Download or read book International Catalogue of Scientific Literature, 1901-1914 written by and published by . This book was released on 1915 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : GARCIADIEGO
Publisher : Birkhäuser
ISBN 13 : 3034874022
Total Pages : 286 pages
Book Rating : 4.0/5 (348 download)
Download or read book Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ written by GARCIADIEGO and published by Birkhäuser. This book was released on 2013-03-09 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge. His writings embrace discussions and analysis of such diverse topics as social sciences, foundations of mathematics, philosophy of physics, philosophy in general, religion, moral sciences, education, pacifism, natural sciences (including biology and physics), linguistics, statistics, probability, eco nomic theory, history, politics, international affairs and other topics. He corresponded with a large and diverse group of colleagues including both prominent and obscure figures in politics, the arts, humanities and scienc es. Russell's communication with his colleagues began in the late nine teenth century and was especially active through much of the twentieth century. In spite of being one of the most controversial public personali ties of his day (let us not forget that he went to prison twice, was dis missed from Cambridge University and was prevented from teaching at the College of the City of New York), his merits have been recognized and appreciated. He was awarded many medals, diplomas and honors, including the Nobel Prize for Literature in 1950.
Author : E.V. Huntington
Publisher : Рипол Классик
ISBN 13 : 1173098585
Total Pages : 115 pages
Book Rating : 4.1/5 (73 download)
Download or read book The Continuum and other types of serial order written by E.V. Huntington and published by Рипол Классик. This book was released on with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward V. Huntington
Publisher : Courier Dover Publications
ISBN 13 : 0486815668
Total Pages : 99 pages
Book Rating : 4.4/5 (868 download)
Download or read book The Continuum and Other Types of Serial Order written by Edward V. Huntington and published by Courier Dover Publications. This book was released on 2017-08-15 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hailed by Science Progress as "admirable," this classic presents the best systematic elementary account of the continuum as a type of serial order and requires no knowledge of higher mathematics. 1917 edition.
