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Author : David Hilbert
Publisher :
ISBN 13 : 9780387058436
Total Pages : 188 pages
Book Rating : 4.0/5 (584 download)
Download or read book Grundzüge der theoretischen Logik written by David Hilbert and published by . This book was released on 1972 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher : Springer
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.F/5 ( download)
Download or read book Grundzüge der Theoretischen Logik written by David Hilbert and published by Springer. This book was released on 1972-09-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (39 download)
Download or read book Grundzüge der theoretischen Logik written by David Hilbert and published by . This book was released on 1928 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (6 download)
Download or read book Grundzü ge der theoretischen logik written by David Hilbert and published by . This book was released on 1928 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Grundzüge der theoretischen Logik written by and published by . This book was released on 1946 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (459 download)
Download or read book Grundzüge der theoretischen Logik written by David Hilbert and published by . This book was released on 1938 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Hilbert
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (867 download)
Download or read book Principles of Mathematical Logic written by D. Hilbert and published by . This book was released on 1950 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (72 download)
Download or read book Grundzuge der theoretischen logik written by David Hilbert and published by . This book was released on 1972 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher : American Mathematical Soc.
ISBN 13 : 0821820249
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book Principles of Mathematical Logic written by David Hilbert and published by American Mathematical Soc.. This book was released on 1999 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. It lays the groundwork for his later work with Bernays. This translation is based on the second German edition, and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Gödel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
Author : D. Hilbert
Publisher : American Mathematical Society
ISBN 13 : 147047056X
Total Pages : 187 pages
Book Rating : 4.4/5 (74 download)
Download or read book Principles of Mathematical Logic written by D. Hilbert and published by American Mathematical Society. This book was released on 2022-05-11 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. This translation is based on the second German edition and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Gödel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
Author : Rudolf Carnap
Publisher : Courier Corporation
ISBN 13 : 048614349X
Total Pages : 280 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 280 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 :
Publisher : Springer Nature
ISBN 13 : 3662695502
Total Pages : 393 pages
Book Rating : 4.6/5 (626 download)
Download or read book written by and published by Springer Nature. This book was released on with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paolo Mancosu
Publisher : Oxford University Press
ISBN 13 : 0192895931
Total Pages : 431 pages
Book Rating : 4.1/5 (928 download)
Download or read book An Introduction to Proof Theory written by Paolo Mancosu and published by Oxford University Press. This book was released on 2021 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.
Author : Haskell Brooks Curry
Publisher : Courier Corporation
ISBN 13 : 9780486634623
Total Pages : 420 pages
Book Rating : 4.6/5 (346 download)
Download or read book Foundations of Mathematical Logic written by Haskell Brooks Curry and published by Courier Corporation. This book was released on 1977-01-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.
Author : Rodney G Downey
Publisher : World Scientific
ISBN 13 : 9814449288
Total Pages : 346 pages
Book Rating : 4.8/5 (144 download)
Download or read book Proceedings Of The 12th Asian Logic Conference written by Rodney G Downey and published by World Scientific. This book was released on 2013-05-07 with total page 346 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.
Author : Ralf Krömer
Publisher : Springer Nature
ISBN 13 : 3031597974
Total Pages : 962 pages
Book Rating : 4.0/5 (315 download)
Download or read book Duality in 19th and 20th Century Mathematical Thinking written by Ralf Krömer and published by Springer Nature. This book was released on 2024 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Author : Joan Roselló
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443834793
Total Pages : 230 pages
Book Rating : 4.4/5 (438 download)
Download or read book From Foundations to Philosophy of Mathematics written by Joan Roselló and published by Cambridge Scholars Publishing. This book was released on 2011-10-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Foundations to Philosophy of Mathematics provides an historical introduction to the most exciting period in the foundations of mathematics, starting with the discovery of the paradoxes of logic and set theory at the beginning of the twentieth century and continuing with the great foundational debate that took place in the 1920s. As a result of the efforts of several mathematicians and philosophers during this period to ground mathematics and to clarify its nature from a certain philosophical standpoint, the four main schools in the philosophy of mathematics that have largely dominated the twentieth century arose, namely, logicism, intuitionism, formalism and predicativism. It was due precisely to the insufficiencies of the first three foundational programs and the objections raised against them, that interest in Platonism was renewed in the 1940s, mainly by Gödel. Not only does this book pay special attention to the foundational programs of these philosophies of mathematics, but also to some technical accomplishments that were developed in close connection with them and have largely shaped our understanding of the nature of mathematics, such as Russell’s type theory, Zermelo’s set theory and Gödel’s incompleteness theorems. Finally, it also examines some current research programs that have been pursued in the last decades and have tried, at least to some extent, to show the feasibility of the foundational programs developed in the schools mentioned above. This is the case of neologicism, constructivism, and predicativist and finitist reductionism, this last one developed closely with the research program of reverse mathematics.
