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Justification Logic
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Book Synopsis Justification Logic by : Sergei Artemov
Download or read book Justification Logic written by Sergei Artemov and published by Cambridge University Press. This book was released on 2019-05-02 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Book Synopsis Uncertain Reasoning in Justification Logic by : Ioannis Kokkinis
Download or read book Uncertain Reasoning in Justification Logic written by Ioannis Kokkinis and published by Lulu.com. This book was released on 2016-06 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis studies the combination of two well known formal systems for knowledge representation: probabilistic logic and justification logic. Our aim is to design a formal framework that allows the analysis of epistemic situations with incomplete information. In order to achieve this we introduce two probabilistic justification logics, which are defined by adding probability operators to the minimal justification logic J. We prove soundness and completeness theorems for our logics and establish decidability procedures. Both our logics rely on an infinitary rule so that strong completeness can be achieved. One of the most interesting mathematical results for our logics is the fact that adding only one iteration of the probability operator to the justification logic J does not increase the computational complexity of the logic.
Book Synopsis Justification As Ignorance by : Sven Rosenkranz
Download or read book Justification As Ignorance written by Sven Rosenkranz and published by Oxford University Press, USA. This book was released on 2021-03 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Justification as Ignorance offers an original account of epistemic justification as both non-factive and luminous, vindicating core internalist intuitions without construing justification as an internal condition knowable by reflection alone. Sven Rosenkranz conceives of justification, in its doxastic and propositional varieties, as a kind of epistemic possibility of knowing and of being in a position to know. His account contrasts with recent alternative views that characterize justification in terms of the metaphysical possibility of knowing. Instead, he develops a suitable non-normal multi-modal epistemic logic for knowledge and being in a position to know that respects the finding that these notions create hyperintensional contexts. He also defends his conception of justification against well-known anti-luminosity arguments, shows that the account allows for fruitful applications and principled solutions to the lottery and preface paradoxes, and provides a metaphysics of justification and its varying degrees of strength that is compatible with core assumptions of the knowledge-first approach and disjunctivist conceptions of mental states.
Book Synopsis Probabilistic Extensions of Various Logical Systems by : Zoran Ognjanović
Download or read book Probabilistic Extensions of Various Logical Systems written by Zoran Ognjanović and published by Springer Nature. This book was released on 2020-07-17 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this book survey results on combinations of probabilistic and various other classical, temporal and justification logical systems. Formal languages of these logics are extended with probabilistic operators. The aim is to provide a systematic overview and an accessible presentation of mathematical techniques used to obtain results on formalization, completeness, compactness and decidability. The book will be of value to researchers in logic and it can be used as a supplementary text in graduate courses on non-classical logics.
Book Synopsis The Justification of Deduction by : Michael Dummett
Download or read book The Justification of Deduction written by Michael Dummett and published by London : Oxford University Press. This book was released on 1974 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov
Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer Nature. This book was released on 2021-12-16 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2022, held in Deerfield Beach, FL, USA, in January 2022. The 23 revised full papers were carefully reviewed and selected from 35 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; other logics in computer science.
Book Synopsis Awareness in Logic and Epistemology by : Claudia Fernández-Fernández
Download or read book Awareness in Logic and Epistemology written by Claudia Fernández-Fernández and published by Springer Nature. This book was released on 2021-06-19 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic. It connects both fields and offers a proper theoretical foundation for the contemporary developments of Epistemic Logic regarding the dynamics of information. It builds a bridge between the view of Awareness Justification Internalism, and a dynamic approach to Awareness Logic. The book starts with an introduction to the main topics in Epistemic Logic and Epistemology and reviews the disconnection between the two fields. It analyses three core notions representing the basic structure of the conceptual schema: “Epistemic Awareness”, “Knowledge” and “Justification”. Next, it presents the Explicit Aware Knowledge (EAK) Schema, using a diagram of three ellipses to illustrate the schema, and a formal model based on a neighbourhood-model structure, that shows one concrete application of the EAK-Schema into a logical structure. The book ends by presenting conclusions and final remarks about the uses and applications of the EAK-Schema. It shows that the most important feature of the schema is that it serves both as a theoretical correlate to the dynamic extensions of Awareness Logic, providing it with a philosophical background, and as an abstract conceptual structure for a re-interpretation of Epistemology.
Book Synopsis Justification with Nominals by : Alexander Kashev
Download or read book Justification with Nominals written by Alexander Kashev and published by Lulu.com. This book was released on 2016-11-10 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inauguraldissertation an der Philosophisch-naturwissenschaftlichen Fakultät der Universität Bern.
Book Synopsis Logic, Epistemology, and the Unity of Science by : Shahid Rahman
Download or read book Logic, Epistemology, and the Unity of Science written by Shahid Rahman and published by Springer Science & Business Media. This book was released on 2009-03-15 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.
Download or read book On Justification written by Luc Boltanski and published by Princeton University Press. This book was released on 2021-11-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A vital and underappreciated dimension of social interaction is the way individuals justify their actions to others, instinctively drawing on their experience to appeal to principles they hope will command respect. Individuals, however, often misread situations, and many disagreements can be explained by people appealing, knowingly and unknowingly, to different principles. On Justification is the first English translation of Luc Boltanski and Laurent Thévenot's ambitious theoretical examination of these phenomena, a book that has already had a huge impact on French sociology and is likely to have a similar influence in the English-speaking world. In this foundational work of post-Bourdieu sociology, the authors examine a wide range of situations where people justify their actions. The authors argue that justifications fall into six main logics exemplified by six authors: civic (Rousseau), market (Adam Smith), industrial (Saint-Simon), domestic (Bossuet), inspiration (Augustine), and fame (Hobbes). The authors show how these justifications conflict, as people compete to legitimize their views of a situation. On Justification is likely to spark important debates across the social sciences.
Book Synopsis Rationality and Logic by : Robert Hanna
Download or read book Rationality and Logic written by Robert Hanna and published by Bradford Book. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals (including humans) and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all (and only) rational animals possess an innate cognitive "logic faculty." Hanna's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- or individual-specific focus of empirical psychology. --From publisher's description.
Book Synopsis Introduction to Logic and Theory of Knowledge by : Edmund Husserl
Download or read book Introduction to Logic and Theory of Knowledge written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2008-08-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Claire Ortiz Hill The publication of all but a small, unfound, part of the complete text of the lecture course on logic and theory of knowledge that Edmund Husserl gave at Göttingen during the winter semester of 1906/07 became a reality in 1984 with the publication of Einleitung in die Logik und Erkenntnistheorie, Vorlesungen 1906/07 edited by 1 Ullrich Melle. Published in that volume were also 27 appendices containing material selected to complement the content of the main text in significant ways. They provide valuable insight into the evolution of Husserl’s thought between the Logical Investigations and Ideas I and, therefore, into the origins of phenomenology. That text and all those appendices but one are translated and published in the present volume. Omitted are only the “Personal Notes” dated September 25, 1906, November 4, 1907, and March 6, 1908, which were translated by Dallas Willard and published in his translation of Husserl’s Early 2 Writings in the Philosophy of Logic and Mathematics. Introduction to Logic and Theory of Knowledge, Lectures 1906/07 provides valuable insight into the development of the ideas fun- mental to phenomenology. Besides shedding considerable light on the genesis of phenomenology, it sheds needed light on many other dimensions of Husserl’s thought that have puzzled and challenged scholars.
Book Synopsis Foundations of Information and Knowledge Systems by : Marc Gyssens
Download or read book Foundations of Information and Knowledge Systems written by Marc Gyssens and published by Springer. This book was released on 2016-03-03 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 9th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2016, held in Linz, Austria, in March 2016. The 14 revised full papers presented papers were carefully reviewed and selected from 23 submissions. The papers address various topics such as reasoning about beliefs, uncertainty, incompleteness, and inconsistency, inference and problem solving, querying and pattern mining, dealing with knowledge, logics and complexity.
Book Synopsis The Elements of Formal Logic by : G. E. Hughes
Download or read book The Elements of Formal Logic written by G. E. Hughes and published by Routledge. This book was released on 2019-11-04 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.
Book Synopsis Putting Logic in Its Place by : David Christensen
Download or read book Putting Logic in Its Place written by David Christensen and published by Oxford University Press. This book was released on 2004-11-04 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: What role, if any, does formal logic play in characterizing epistemically rational belief? Traditionally, belief is seen in a binary way - either one believes a proposition, or one doesn't. Given this picture, it is attractive to impose certain deductive constraints on rational belief: that one's beliefs be logically consistent, and that one believe the logical consequences of one's beliefs. A less popular picture sees belief as a graded phenomenon. This picture (explored more bydecision-theorists and philosophers of science thatn by mainstream epistemologists) invites the use of probabilistic coherence to constrain rational belief. But this latter project has often involved defining graded beliefs in terms of preferences, which may seem to change the subject away fromepistemic rationality.Putting Logic in its Place explores the relations between these two ways of seeing beliefs. It argues that the binary conception, although it fits nicely with much of our commonsense thought and talk about belief, cannot in the end support the traditional deductive constraints on rational belief. Binary beliefs that obeyed these constraints could not answer to anything like our intuitive notion of epistemic rationality, and would end up having to be divorced from central aspects of ourcognitive, practical, and emotional lives.But this does not mean that logic plays no role in rationality. Probabilistic coherence should be viewed as using standard logic to constrain rational graded belief. This probabilistic constraint helps explain the appeal of the traditional deductive constraints, and even underlies the force of rationally persuasive deductive arguments. Graded belief cannot be defined in terms of preferences. But probabilistic coherence may be defended without positing definitional connections between beliefsand preferences. Like the traditional deductive constraints, coherence is a logical ideal that humans cannot fully attain. Nevertheless, it furnishes a compelling way of understanding a key dimension of epistemic rationality.
Book Synopsis In Defense of Pure Reason by : Laurence BonJour
Download or read book In Defense of Pure Reason written by Laurence BonJour and published by Cambridge University Press. This book was released on 1998 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive defence of the rationalist view that insight independent of experience is a genuine basis for knowledge.
Download or read book Giving Reasons written by David R. Morrow and published by Hackett Publishing. This book was released on 2017-09-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Giving Reasons prepares students to think independently, evaluate information, and reason clearly across disciplines. Accessible to students and effective for instructors, it provides plain-English exercises, helpful appendices, and a variety of online supplements.
