Logic

Grammars are gaining importance in natural language processing and computational biology as a means of encoding theories and structuring algorithms. But one serious obstacle to applications of grammars is that formal language theory traditionally...

We do not perceive the present as it is and in totality, nor do we infer the future from the present with any high degree of dependability, nor yet do we accurately know the consequences of our own actions. In addition, there is a fourth source of error...

The description for this book, The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), will be forthcoming.Book InformationISBN 9780691095707Author Emil L. PostFormat PaperbackPage Count 122Imprint Princeton University PressPublisher Princeton...

The present book brings into focus the contrast between explicit and implicit algorithmic descriptions of objects. These themes are considered in a variety of settings, sometimes crossing traditional boundaries. Special emphasis is given to moderate...

When ordinary people - mathematicians among them - take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. Jody Azzouni investigates the connection between that ordinary notion of...

This volume is an outgrowth of the second Workshop on Logic, Language and Computation held at Stanford in the spring of 1993. The workshop brought together researchers interested in natural language to discuss the current state of the art at the...

Computation is the process of applying a procedure or algorithm to the solution of a mathematical problem. Mathematicians and physicists have been occupied for many decades pondering which problems can be solved by which procedures, and, for those that...

The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a...

This book principally concerns the rapidly growing area of what might be termed "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. Issuing from...

A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course...

The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in...

The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of recent developments, and the rest...

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from...

Crossing the River with Dogs: Problem Solving for College Students, 3rd Edition promotes the philosophy that students learn best by working in groups and the skills required for real workplace problem solving are those skills of collaboration. The text...

Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing. Inductive logic seeks to determine the extent to which the premisses of an argument entail its conclusion, aiming to provide a theory of how one should...

Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the...

The term "fuzzy logic" (FL), as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic: the principle of bivalence. According to this...

Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis,...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780937073322Author Jon BarwiseFormat PaperbackPage Count 343Imprint Centre for the Study of Language & InformationPublisher Centre for the Study of Language...

This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9789922636368Author Khalid AlzamiliFormat PaperbackPage Count 226Imprint Dr. Khalid Alzamili PubPublisher Dr. Khalid Alzamili PubWeight(grams)...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780593182512Author Daniel J. LevitinFormat PaperbackPage Count 336Imprint DuttonPublisher Penguin Books LtdWeight(grams) 238gDimensions(mm) 203mm * 135mm *...

A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.Book...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780486427850Author Frank Markham BrownFormat PaperbackPage Count 304Imprint Dover Publications Inc.Publisher Dover Publications Inc.Weight(grams)...

Not all scientific explanations work by describing causal connections between events or the world's overall causal structure. Some mathematical proofs explain why the theorems being proved hold. In this book, Marc Lange proposes philosophical accounts of...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780486696096Author Howard EvesFormat PaperbackPage Count 368Imprint Dover Publications Inc.Publisher Dover Publications Inc.Weight(grams) 535gDimensions(mm)...

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 discusses the philosophical issues that give rise to fuzzy...

Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and...

Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9789657679388Author Griddlers TeamFormat PaperbackPage Count 110Imprint Griddlers.NetPublisher Griddlers.NetWeight(grams) 272gDimensions(mm) 279mm * 216mm *...

The language of -categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an -category is requires various technical models, raising the...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780486425337Author Stephen Cole KleeneFormat PaperbackPage Count 416Imprint Dover Publications Inc.Publisher Dover Publications Inc.Weight(grams)...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9789657679333Author Griddlers TeamFormat PaperbackPage Count 110Imprint Griddlers.NetPublisher Griddlers.NetWeight(grams) 236gDimensions(mm) 254mm * 203mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780262542159Author Daniel RosiakFormat PaperbackPage Count 432Imprint MIT PressPublisher MIT Press Ltd

In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed...

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This book, first published in 2003, uses categorical algebra to build such a foundation, starting from intuitive...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9789922636559Author Khalid AlzamiliFormat PaperbackPage Count 226Imprint Dr. Khalid Alzamili PubPublisher Dr. Khalid Alzamili PubWeight(grams)...

The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a...

This new book on mathematical logic by Jeremy Avigad gives a thorough introduction to the fundamental results and methods of the subject from the syntactic point of view, emphasizing logic as the study of formal languages and systems and their proper use...

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each...