Author: Schimmerling, Ernest Publisher: Cambridge University Press Format: Adobe PDF
Description: Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand...
Author: Lerman, Manuel Publisher: Cambridge University Press Format: Adobe PDF
Description: This book presents a unifying framework for using priority arguments to prove theorems in computability. Priority arguments provide the most powerful theorem-proving technique in the field, but most o...
Author: Bergmann,Merrie Publisher: Cambridge University Press Format: Adobe PDF
Description: Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann disc...
Author: Turksen, I. Burhan Publisher: Elsevier S&T Format: Adobe PDF
Description: Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree. But in general membership degree is an imprecise notion wh...
Author: Epstein, Richard L. / Carnielli, Walter A. Publisher: Advanced Reasoning Forum Format: Adobe PDF
Description: Now in a new edition!--the classic presentation of the theory of computable functions in the context of the foundations of mathematics. Part I motivates the study of computability with discussions an...
Author: Gierz, G. / Hofmann, K. H. / Keimel, K. Publisher: Cambridge University Press Format: Adobe PDF
Description: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. The authors develop the mathematical foundations of partia...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory makes it seem a very strange place. This b...
Author: Dedekind, Richard, Publisher: Brownstone Books Format: Adobe PDF
Description: Included in this volume are two essays on the theory of numbers: "Continuity and Irrational Numbers" and "The Nature and Meaning of Numbers." The text is an authorized translation by Wooster Woodruff ...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Intended for researchers and graduate students in theoretical computer science and mathematical logic, this volume contains accessible surveys by leading researchers from areas of current work in logi...
Author: KrajÌ ek , Jan Publisher: Cambridge University Press Format: Adobe PDF
Description: This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Propositional proof systems and bounded arithmetics...
Author: Gabbay, Dov Publisher: Elsevier S&T Format: Adobe PDF
Description: Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological o...
Author: Velleman, Daniel J. Publisher: Cambridge University Press Format: Adobe PDF
Description: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the trans...
Author: Polya, G. Publisher: Princeton University Press Format: Adobe PDF
Description: A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of...
Author: Mann, Allen L. / Sandu, Gabriel / Sevenster, Merlijn Publisher: Cambridge University Press Format: Adobe PDF
Description: Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic. It emphasizes the game-theoretical approach to logic, according to which logical co...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broa...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Kurt Godel (1906-1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmet...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: This volume commemorates the life, work and foundational views of Kurt Gˆdel (1906ñ1978), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number th...
Author: Hindley,J. Roger / Seldin,Jonathan P. Publisher: Cambridge University Press Format: Adobe PDF
Description: Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the...
Author: Tourlakis, George Publisher: Cambridge University Press Format: Adobe PDF
Description: This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduat...
Author: Tourlakis, George Publisher: Cambridge University Press Format: Adobe PDF
Description: This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduat...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, with contribution...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium ...
Author: Cook, Stephen / Nguyen, Phuong Publisher: Cambridge University Press Format: Adobe PDF
Description: This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the mat...
Author: Carroll, Lewis Publisher: ReadHowYouWant Format: Adobe ePUB
Description: Lewis Carroll's Miscellaneous Pieces includes The Game of Logic (1886), Eight or Nine Wise Words about Letter Writing (1890) and Feeding the Mind (1907). In the first work, Carroll presents a mind-bog...
Author: V‰‰n‰nen, Jouko Publisher: Cambridge University Press Format: Adobe PDF
Description: This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the EhrenfeuchtñFraÔssÈ game; and the model existence game. The...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to no...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to no...
Author: Goldreich, Oded Publisher: Cambridge University Press Format: Adobe PDF
Description: The focus of this book is the P versus NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P versus NP...
Author: Negri, Sara / von Plato, Jan Publisher: Cambridge University Press Format: Adobe PDF
Description: This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems a...
Author: Schwichtenberg, Helmut / Wainer, Stanley S. Publisher: Cambridge University Press Format: Adobe PDF
Description: Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foun...
Author: Simpson, Stephen G. Publisher: Cambridge University Press Format: Adobe PDF
Description: Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms ar...
Author: Badesa, Calixto Publisher: Princeton University Press Format: Adobe ePUB
Description: Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between forma...
Author: Cupillari, Antonella Publisher: Elsevier S&T Format: Adobe PDF
Description: The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to...
Author: Gabbay, D. M. Publisher: Elsevier S&T Format: Adobe PDF
Description: With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the terr...
Author: Grattan-Guinness, I. Publisher: Princeton University Press Format: Adobe PDF
Description: 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, a...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Wadge Degrees and Projective Ordinals is the second of a series of four books collecti...
Author: Zilber, Boris Publisher: Cambridge University Press Format: Adobe PDF
Description: This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us un...
Author: Epstein, Richard L. Publisher: Princeton University Press Format: Adobe PDF
Description: In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical ...
Author: Epstein, Richard L. Publisher: Princeton University Press Format: Adobe ePUB
Description: In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical ...
Author: Polya, G. Publisher: Princeton University Press Format: Adobe ePUB
Description: A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of...
Author: van Benthem, Johan Publisher: Cambridge University Press Format: Adobe PDF
Description: This book develops a new view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It pro...
Author: Casanovas, Enrique Publisher: Cambridge University Press Format: Adobe PDF
Description: This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of ge...
Author: Badesa, Calixto Publisher: Princeton University Press Format: Adobe PDF
Description: Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between forma...