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| Author | : Sergei Artemov |
| Publisher | : Cambridge University Press |
| Total Pages | : 271 |
| Release | : 2019-05-02 |
| Genre | : Mathematics |
| ISBN | : 1108424910 |
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 |
| Author | : Sergei Artemov |
| Publisher | : Cambridge University Press |
| Total Pages | : 272 |
| Release | : 2019-05-02 |
| Genre | : Mathematics |
| ISBN | : 1108661106 |
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 | : Sven Rosenkranz |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 301 |
| Release | : 2021-03 |
| Genre | : Philosophy |
| ISBN | : 0198865635 |
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 | : Sergei Artemov |
| Publisher | : Springer Nature |
| Total Pages | : 386 |
| Release | : 2021-12-16 |
| Genre | : Mathematics |
| ISBN | : 3030931005 |
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 |
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 |
| Author | : Zoran Ognjanović |
| Publisher | : Springer Nature |
| Total Pages | : 238 |
| Release | : 2020-07-17 |
| Genre | : Computers |
| ISBN | : 3030529541 |
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.
| Author | : Roman Kuznets |
| Publisher | : |
| Total Pages | : 246 |
| Release | : 2019-04-02 |
| Genre | : |
| ISBN | : 9781848901681 |
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 | : Luc Boltanski |
| Publisher | : Princeton University Press |
| Total Pages | : 400 |
| Release | : 2021-11-09 |
| Genre | : Social Science |
| ISBN | : 1400827140 |
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.
