Justification Logic PDF Download
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Author | : Sergei Artemov |
Publisher | : Cambridge University Press |
Total Pages | : 271 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 1108424910 |
Download Justification Logic Book in PDF, ePub and Kindle
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Author | : Ioannis Kokkinis |
Publisher | : Lulu.com |
Total Pages | : 116 |
Release | : 2016 |
Genre | : |
ISBN | : 1326645102 |
Download Uncertain Reasoning in Justification Logic Book in PDF, ePub and Kindle
Author | : Sergei Artemov |
Publisher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 1108661106 |
Download Justification Logic Book in PDF, ePub and Kindle
Classical logic is concerned, loosely, with the behaviour of truths. Epistemic logic similarly is about the behaviour of known or believed truths. Justification logic is a theory of reasoning that enables the tracking of evidence for statements and therefore provides a logical framework for the reliability of assertions. This book, the first in the area, is a systematic account of the subject, progressing from modal logic through to the establishment of an arithmetic interpretation of intuitionistic logic. The presentation is mathematically rigorous but in a style that will appeal to readers from a wide variety of areas to which the theory applies. These include mathematical logic, artificial intelligence, computer science, philosophical logic and epistemology, linguistics, and game theory.
Author | : Sergei Artemov |
Publisher | : Springer Nature |
Total Pages | : 386 |
Release | : 2021-12-16 |
Genre | : Mathematics |
ISBN | : 3030931005 |
Download Logical Foundations of Computer Science Book in PDF, ePub and Kindle
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.
Author | : Claudia Fernández-Fernández |
Publisher | : Springer Nature |
Total Pages | : 142 |
Release | : 2021-06-19 |
Genre | : Philosophy |
ISBN | : 3030696065 |
Download Awareness in Logic and Epistemology Book in PDF, ePub and Kindle
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.
Author | : Alexander Kashev |
Publisher | : Lulu.com |
Total Pages | : 136 |
Release | : 2016 |
Genre | : |
ISBN | : 1326850652 |
Download Justification with Nominals Book in PDF, ePub and Kindle
Author | : Robert Hanna |
Publisher | : MIT Press |
Total Pages | : 341 |
Release | : 2009-01-23 |
Genre | : Philosophy |
ISBN | : 0262263114 |
Download Rationality and Logic Book in PDF, ePub and Kindle
An argument that logic is intrinsically psychological and human psychology is intrinsically logical, and that the connection between human rationality and logic is both constitutive and mutual. 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.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism—the explanatory reduction of logic to empirical psychology. Hanna argues, however, that—despite the fact that logical psychologism is false—there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself.
Author | : Sven Rosenkranz |
Publisher | : Oxford University Press, USA |
Total Pages | : 301 |
Release | : 2021-03 |
Genre | : Philosophy |
ISBN | : 0198865635 |
Download Justification As Ignorance Book in PDF, ePub and Kindle
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.
Author | : Roman Kuznets |
Publisher | : |
Total Pages | : 246 |
Release | : 2019-04-02 |
Genre | : |
ISBN | : 9781848901681 |
Download Logics of Proofs and Justifications Book in PDF, ePub and Kindle
Justification logics are closely related to modal logics and can be viewed as a refinement of the latter with machinery for justification manipulation. Justifications are represented directly in the language by terms, which can be interpreted as formal proofs in a deductive system, evidence for knowledge, winning strategy in a game, etc. This more expressive language proved beneficial in both proof theory and epistemology and helped investigate problems ranging from a classical provability semantics for intuitionistic logic to the logical omniscience problem. Justification logic is a new and fast evolving field that offers unexpected new approaches and insights into old problems. Its position at the junction of mathematics, philosophy, and computer science makes it of interest to a wide audience. This book provides a rigorous introduction to justification logic. It covers the basic constructions of justification logic as well as epistemic models and provability semantics. Further it includes chapters on decidability and complexity of justification logics as well as a chapter on self-referentiality. It also contains detailed historic remarks on the subject.
Author | : Robert Audi |
Publisher | : Cambridge University Press |
Total Pages | : 496 |
Release | : 1993-10-29 |
Genre | : Philosophy |
ISBN | : 9780521446129 |
Download The Structure of Justification Book in PDF, ePub and Kindle
This collection of papers transcends two of the most widely misunderstood positions in philosophy - foundationalism and coherentism.