Principia Mathematica PDF Download
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Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688
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Book Description
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688
Get Book Here
Book Description
Author: Charles S Peirce
Publisher: Oldenbourg Verlag
ISBN: 305004733X
Category : Philosophy
Languages : en
Pages : 455
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Book Description
Charles S. Peirce (1839-1914), bekannt als Logiker, Philosoph, Mathematiker und Physiker, zählt zu den wichtigsten Denkern der modernen Wissenschaftsgeschichte. In der späten und wichtigsten Phase seines Schaffens (1891-1909) hat er programmatische Aufsätze sowie ausgewählte Vorlesungen explizit als eine Reihe für die Zeitschrift "The Monist" konzipiert, Beiträge, von denen bislang nur Ausschnitte und stark revidierte Fassungen veröffentlicht worden sind. Die erstmalige und vollständige Veröffentlichung der "Monist"-Texte in diesem Band beabsichtigt eine zeitgemäße Annäherung an das höchst heterogene Werk von Peirce. Sie ist der Versuch, Peirces Gedanken der internationalen wissenschaftlichen Öffentlichkeit originalgetreu zu präsentieren. Zentrales Ziel der "Monist"-Reihe bildet die Begründung einer Methode der Semiotik. Die Abhandlungen präsentieren Erklärungen zu Universalgesetzmäßigkeiten wie Gefühle, Wille und Kognition, zu Differenzen zwischen auf Erfahrung basiertem und imaginiertem Wissen, aber auch zur Definition der Aufmerksamkeit als einer symbolischen Tätigkeit. Neben ihrer wissenschaftlichen Relevanz in der philosophischen, bildwissenschaftlichen und kulturwissenschaftlichen Forschung, in der Kognitionswissenschaft und Logik besitzen die von Peirce diskutierten Themen auch eine hohe Aktualität für die zeitgenössischen Naturwissenschaften.
Author: Leila Haaparanta
Publisher: Oxford University Press
ISBN: 0199722722
Category : Philosophy
Languages : en
Pages : 1005
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Book Description
This edited volume presents a comprehensive history of modern logic from the Middle Ages through the end of the twentieth century. In addition to a history of symbolic logic, the contributors also examine developments in the philosophy of logic and philosophical logic in modern times. The book begins with chapters on late medieval developments and logic and philosophy of logic from Humanism to Kant. The following chapters focus on the emergence of symbolic logic with special emphasis on the relations between logic and mathematics, on the one hand, and on logic and philosophy, on the other. This discussion is completed by a chapter on the themes of judgment and inference from 1837-1936. The volume contains a section on the development of mathematical logic from 1900-1935, followed by a section on main trends in mathematical logic after the 1930s. The volume goes on to discuss modal logic from Kant till the late twentieth century, and logic and semantics in the twentieth century; the philosophy of alternative logics; the philosophical aspects of inductive logic; the relations between logic and linguistics in the twentieth century; the relationship between logic and artificial intelligence; and ends with a presentation of the main schools of Indian logic. The Development of Modern Logic includes many prominent philosophers from around the world who work in the philosophy and history of mathematics and logic, who not only survey developments in a given period or area but also seek to make new contributions to contemporary research in the field. It is the first volume to discuss the field with this breadth of coverage and depth, and will appeal to scholars and students of logic and its philosophy.
Author: Semen Grigorʹevich Gindikin
Publisher: Springer Science & Business Media
ISBN: 9780387961798
Category : Mathematics
Languages : en
Pages : 386
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Book Description
The popular literature on mathematical logic is rather extensive and written for the most varied categories of readers. College students or adults who read it in their free time may find here a vast number of thought-provoking logical problems. The reader who wishes to enrich his mathematical background in the hope that this will help him in his everyday life can discover detailed descriptions of practical (and quite often -- not so practical!) applications of logic. The large number of popular books on logic has given rise to the hope that by applying mathematical logic, students will finally learn how to distinguish between necessary and sufficient conditions and other points of logic in the college course in mathematics. But the habit of teachers of mathematical analysis, for example, to stick to problems dealing with sequences without limit, uniformly continuous functions, etc. has, unfortunately, led to the writing of textbooks that present prescriptions for the mechanical construction of definitions of negative concepts which seem to obviate the need for any thinking on the reader's part. We are most certainly not able to enumerate everything the reader may draw out of existing books on mathematical logic, however.
Author: Bela G. Liptak
Publisher: CRC Press
ISBN: 143986344X
Category : Science
Languages : en
Pages : 905
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Book Description
Instrument Engineers' Handbook, Third Edition: Volume Three: Process Software and Digital Networks provides an in-depth, state-of-the-art review of existing and evolving digital communications and control systems. While the book highlights the transportation of digital information by buses and networks, the total coverage doesn't stop there. It des
Author: Paolo Mancosu
Publisher: OUP Oxford
ISBN: 0191021997
Category : Philosophy
Languages : en
Pages : 631
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Book Description
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: Martin Davis
Publisher: Courier Corporation
ISBN: 9780486432281
Category : Mathematics
Languages : en
Pages : 420
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Book Description
"A valuable collection both for original source material as well as historical formulations of current problems." — The Review of Metaphysics "Much more than a mere collection of papers. A valuable addition to the literature." — Mathematics of Computation An anthology of fundamental papers on undecidability and unsolvability by major figures in the field , this classic reference is ideally suited as a text for graduate and undergraduate courses in logic, philosophy, and foundations of mathematics. It is also appropriate for self-study. The text opens with Godel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Godel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. Additional papers by Church, Turing, and Post cover unsolvable problems from the theory of abstract computing machines, mathematical logic, and algebra, and material by Kleene and Post includes initiation of the classification theory of unsolvable problems. Supplementary items include corrections, emendations, and added commentaries by Godel, Church, and Kleene for this volume's original publication, along with a helpful commentary by the editor.
Author: Disha Experts
Publisher: Disha Publications
ISBN: 9388026926
Category :
Languages : en
Pages : 241
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Book Description
Guide to English Proficiency and Logic & Quantitative Reasoning for JIPMER consists of To-the-point Study Material (theory with Exercises), Past 6 years’ Solved Papers and 10 Practice Sets to enable students to give their best performance in the exam. The book is divided into 4 parts - Past Papers, Study Material for English Proficiency, Study Material for Logic and Quantitative Reasoning and Practice Papers.
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342
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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
Author: Albert R. Meyer
Publisher: Springer Science & Business Media
ISBN: 9783540512370
Category : Computers
Languages : en
Pages : 310
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Book Description
The present volume contains the proceedings of Logic at Botik '89, a symposium on logical foundations of computer science organized by the Program Systems Institute of the USSR Academy of Sciences and held at Pereslavl-Zalessky, USSR, July 3-8, 1989. The scope of the symposium was very broad; the topics of interest were: complexity of formal systems, constructive mathematics in computer science, denotational and operational semantics of programs, descriptive complexity, dynamic and algorithmic logics and schematology, formal tools to describe concurrent computations, lambda calculus and related topics, foundations of logic programming, logical foundations of database theory, logics for knowledge representation, modal and temporal logics, type theory in programming, and verification of programs. Thus, the papers in this volume represent many interesting trends in logical foundations of Computer Science, ranging from purely theoretical research to practical applications of theory.
