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Author : Sergei Artemov,Melvin Fitting
Publisher : Cambridge University Press
Page : 271 pages
File Size : 50,7 Mb
Release : 2019-05-02
Category : Mathematics
ISBN : 9781108424912
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Author : Ioannis Kokkinis
Publisher : Lulu.com
Page : 116 pages
File Size : 53,7 Mb
Release : 2016
Category : Electronic
ISBN : 9781326645106
Author : Claudia Fernández-Fernández
Publisher : Springer Nature
Page : 142 pages
File Size : 44,8 Mb
Release : 2021-06-19
Category : Philosophy
ISBN : 9783030696061
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
Page : 136 pages
File Size : 52,8 Mb
Release : 2016
Category : Electronic
ISBN : 9781326850654
Author : Sergei Artemov,Anil Nerode
Publisher : Springer Nature
Page : 386 pages
File Size : 52,7 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9783030931001
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 : Roman Kuznets,Thomas Studer
Publisher : Unknown
Page : 246 pages
File Size : 45,6 Mb
Release : 2019-04-02
Category : Electronic
ISBN : 1848901682
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 : Marc Gyssens,Guillermo Simari
Publisher : Springer
Page : 355 pages
File Size : 41,6 Mb
Release : 2016-03-03
Category : Mathematics
ISBN : 9783319300245
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.
Author : Gabriele Usberti
Publisher : Springer Nature
Page : 409 pages
File Size : 47,7 Mb
Release : 2023-07-28
Category : Philosophy
ISBN : 9783031246050
This volume develops a theory of meaning and a semantics for both mathematical and empirical sentences inspired to Chomsky’s internalism, namely to a view of semantics as the study of the relations of language not with external reality but with internal, or mental, reality. In the first part a theoretical notion of justification for a sentence A is defined, by induction on the complexity of A; intuitively, justifications are conceived as cognitive states of a particular kind. The main source of inspiration for this part is Heyting’s explanation of the intuitionistic meaning of logical constants. In the second part the theory is applied to the solution of several foundational problems in the theory of meaning and epistemology, such as Frege’s puzzle, Mates’ puzzle about synonymy, the paradox of analysis, Kripke’s puzzle about belief, the de re/de dicto distinction, the specific/non-specific distinction, Gettier’s problems, the paradox of knowability, and the characterization of truth. On a more general philosophical level, throughout the book the author develops a tight critique of the neo-verificationism of Dummett, Prawitz and Martin-Löf, and defends a mentalist interpretation of intuitionism.
Author : John Neville Keynes
Publisher : Unknown
Page : 514 pages
File Size : 51,6 Mb
Release : 1894
Category : Logic
ISBN : UOM:39015048988276
Author : Noah Knowles Davis
Publisher : Unknown
Page : 224 pages
File Size : 44,7 Mb
Release : 1895
Category : Induction (Logic)
ISBN : WISC:89094313087
Author : Dov M. Gabbay,S. S. Goncharov,Michael Zakharyaschev
Publisher : Unknown
Page : 390 pages
File Size : 47,7 Mb
Release : 2006
Category : Logic, Symbolic and mathematical
ISBN : UCSC:32106018854932
Author : Zoran Ognjanović
Publisher : Springer Nature
Page : 238 pages
File Size : 48,7 Mb
Release : 2020-07-17
Category : Computers
ISBN : 9783030529543
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 : Michael Dummett
Publisher : London : Oxford University Press
Page : 34 pages
File Size : 41,6 Mb
Release : 1974
Category : Logic
ISBN : 0197257003
Author : Sven Rosenkranz
Publisher : Oxford University Press, USA
Page : 301 pages
File Size : 51,9 Mb
Release : 2021-03
Category : Philosophy
ISBN : 9780198865636
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 : Rosalie Iemhoff,Michael Moortgat,Ruy de Queiroz
Publisher : Springer
Page : 683 pages
File Size : 49,5 Mb
Release : 2019-06-23
Category : Mathematics
ISBN : 9783662595336
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 26th Workshop on Logic, Language, Information and Communication, WoLLIC 2019, held in Utrecht, The Netherlands, in July 2019. The 41 full papers together with 6 invited lectures presented were fully reviewed and selected from 60 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation, and yet is small enough to allow for concrete and useful interaction among participants.