Objects Structures And Logics

Author : Gianluigi Oliveri
Publisher : Springer Nature
ISBN 13 : 3030847063
Total Pages : 365 pages
Book Rating : 4.67/5 ( download)

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Download or read book Objects, Structures, and Logics written by Gianluigi Oliveri and published by Springer Nature. This book was released on 2022-03-08 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.

Author : European Association for Computer Science Logic. Conference
Publisher : Springer Science & Business Media
ISBN 13 : 3540425543
Total Pages : 631 pages
Book Rating : 4.40/5 ( download)

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Download or read book Computer Science Logic written by European Association for Computer Science Logic. Conference and published by Springer Science & Business Media. This book was released on 2001-08-29 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Workshop on Computer Science Logic, CSL 2001, held as the 10th Annual Conerence of the EACSL in Paris, France in September 2001. The 39 revised full papers presented together with two invited papers were carefully reviewed and selected from 91 submissions. The papers are organized in topical sections on linear logic, descriptive complexity, semantics, higher-order programs, model logics, verification, automata, lambda calculus, induction, equational calculus, and constructive theory of types.

Author : Laurent Fribourg
Publisher : Springer
ISBN 13 : 3540448020
Total Pages : 631 pages
Book Rating : 4.20/5 ( download)

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Download or read book Computer Science Logic written by Laurent Fribourg and published by Springer. This book was released on 2003-06-30 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Workshop on Computer Science Logic, CSL 2001, held as the 10th Annual Conerence of the EACSL in Paris, France in September 2001. The 39 revised full papers presented together with two invited papers were carefully reviewed and selected from 91 submissions. The papers are organized in topical sections on linear logic, descriptive complexity, semantics, higher-order programs, model logics, verification, automata, lambda calculus, induction, equational calculus, and constructive theory of types.

Author : Paul C. Rosenbloom
Publisher : Courier Dover Publications
ISBN 13 : 9780486446172
Total Pages : 0 pages
Book Rating : 4.74/5 ( download)

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Download or read book The Elements of Mathematical Logic written by Paul C. Rosenbloom and published by Courier Dover Publications. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to mathematical logic, this book provides readers with a sound knowledge of the most important approaches to the subject, stressing the use of logical methods in attacking nontrivial problems. Its chapters cover the logic of classes (including a section on the structure and representation of Boolean algebras, which are applied in the following chapters to the study of deductive systems), the logic of propositions, the logic of propositional functions (summarizing the methods of Russell, Quine, Zermelo, Curry, and Church for the construction of such logics), and the general syntax of language, with a brief introduction that also illustrates applications to so-called undecidability and incompleteness theorems. Other topics include the simple proof of the completeness of the theory of combinations, Church's theorem on the recursive unsolvability of the decision problem for the restricted function calculus, and the demonstrable properties of a formal system as a criterion for its acceptability.

Author : Greg Restall
Publisher : Routledge
ISBN 13 : 1136799303
Total Pages : 402 pages
Book Rating : 4.03/5 ( download)

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Download or read book An Introduction to Substructural Logics written by Greg Restall and published by Routledge. This book was released on 2002-09-11 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.

Author : Stewart Shapiro
Publisher : OUP Oxford
ISBN 13 : 0191025518
Total Pages : 240 pages
Book Rating : 4.18/5 ( download)

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Download or read book Varieties of Logic written by Stewart Shapiro and published by OUP Oxford. This book was released on 2014-09-04 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like 'valid' and 'logical consequence' are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away the 'debates' in the literature between inferentialists and advocates of a truth-conditional, model-theoretic approach, and between those who advocate higher-order logic and those who insist that logic is first-order. A significant kind of pluralism flows from an orientation toward mathematics that emerged toward the end of the nineteenth century, and continues to dominate the field today. The theme is that consistency is the only legitimate criterion for a theory. Logical pluralism arises when one considers a number of interesting and important mathematical theories that invoke a non-classical logic, and are rendered inconsistent, and trivial, if classical logic is imposed. So validity is relative to a theory or structure. The perspective raises a host of important questions about meaning. The most significant of these concern the semantic content of logical terminology, words like 'or', 'not', and 'for all', as they occur in rigorous mathematical deduction. Does the intuitionistic 'not', for example, have the same meaning as its classical counterpart? Shapiro examines the major arguments on the issue, on both sides, and finds them all wanting. He then articulates and defends a thesis that the question of meaning-shift is itself context-sensitive and, indeed, interest-relative. He relates the issue to some prominent considerations concerning open texture, vagueness, and verbal disputes. Logic is ubiquitous. Whenever there is deductive reasoning, there is logic. So there are questions about logical pluralism that are analogous to standard questions about global relativism. The most pressing of these concerns foundational studies, wherein one compares theories, sometimes with different logics, and where one figures out what follows from what in a given logic. Shapiro shows that the issues are not problematic, and that is usually easy to keep track of the logic being used and the one mentioned.

Author : Johan van Benthem
Publisher : Springer Science & Business Media
ISBN 13 : 1402050127
Total Pages : 338 pages
Book Rating : 4.21/5 ( download)

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Download or read book The Age of Alternative Logics written by Johan van Benthem and published by Springer Science & Business Media. This book was released on 2006-10-07 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last century, developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development of logic. There has been an influx of new ideas, concerns, and logical systems reflecting a great variety of reasoning tasks in the sciences. This book embodies the multi-dimensional interplay between logic and science, presenting contributions from the world's leading scholars on new trends and possible developments for research.

Author : Jennifer Chubb
Publisher : Cambridge University Press
ISBN 13 : 110703339X
Total Pages : 355 pages
Book Rating : 4.99/5 ( download)

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Download or read book Logic and Algebraic Structures in Quantum Computing written by Jennifer Chubb and published by Cambridge University Press. This book was released on 2016-02-26 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Author : Jacek Pasniczek
Publisher : Springer Science & Business Media
ISBN 13 : 9780792348801
Total Pages : 236 pages
Book Rating : 4.0X/5 ( download)

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Download or read book The Logic of Intentional Objects written by Jacek Pasniczek and published by Springer Science & Business Media. This book was released on 1997-12-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intentionality is one of the most frequently discussed topics in contemporary phenomenology and analytic philosophy. This book investigates intentionality from the point of view of intentional objects. According to the classical approach to this concept, whatever can be consciously experienced is regarded as an intentional object. Thus, not only ordinary existing individuals but also various kinds of non-existents and non-individuals are considered as intentional (including such bizarre entities as quantifier objects: `some dog', `every dog'). Alexius Meinong, an Austrian philosopher, is particularly well-known as the `inventor' of an abundant ontology of objects among which even incomplete and impossible ones, like `the round square', find their place. Drawing inspirations from Meinong's ideas, the author develops a simple logic of intentional objects, M-logic. M-logic closely resembles classical first-order logic and, as opposed to the formally complicated contemporary theories of non-existent objects, it is much more friendly in apprehending and applications. However, despite this resemblance, the ontological content of M-logic far exceeds that of classical logic. In this book formal investigations are intertwined with philosophical analyses. On the one hand, M-logic is used as a tool for investigating formal features of intentional objects. On the other hand, the study of intentionality phenomena suggests further ways of extending and modifying M-logic. Audience: The book is addressed to logicians, cognitive scientists, philosophers of language and metaphysics with either a phenomenological or an analytic background.

Author : Gianluca Della Vedova
Publisher : Springer Nature
ISBN 13 : 3031369785
Total Pages : 327 pages
Book Rating : 4.80/5 ( download)

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Download or read book Unity of Logic and Computation written by Gianluca Della Vedova and published by Springer Nature. This book was released on 2023-07-18 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Unity of Logic and Computation, CiE 2023, held in Batumi, Georgia, during July 24–28, 2023. The 23 full papers and 13 invited papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: ​Degree theory; Proof Theory; Computability; Algorithmic Randomness; Computational Complexity; Interactive proofs; and Combinatorial approaches.