Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications, Volume 9, Issue 1, January 2022. Special Issue

Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications, Volume 9, Issue 1, January 2022. Special Issue
Author: Itala M Loffredo D'Ottaviano
Publisher:
Total Pages: 592
Release: 2022-01-20
Genre:
ISBN: 9781848903890

The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.

Generalized Galois Logics

Generalized Galois Logics
Author: Katalin Bimbó
Publisher: Center for the Study of Language and Information Publica Tion
Total Pages: 400
Release: 2008
Genre: Language Arts & Disciplines
ISBN:

Nonclassical logics have played an increasing role in recent years in disciplines ranging from mathematics and computer science to linguistics and philosophy. Generalized Galois Logics develops a uniform framework of relational semantics to mediate between logical calculi and their semantics through algebra. This volume addresses normal modal logics such as K and S5, and substructural logics, including relevance logics, linear logic, and Lambek calculi. The authors also treat less-familiar and new logical systems with equal deftness.

Applied Proof Theory: Proof Interpretations and their Use in Mathematics

Applied Proof Theory: Proof Interpretations and their Use in Mathematics
Author: Ulrich Kohlenbach
Publisher: Springer Science & Business Media
Total Pages: 539
Release: 2008-05-23
Genre: Mathematics
ISBN: 3540775331

This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as – via extended case studies – carrying out some of these applications in full detail. This subject has historical roots in the 1950s. This book for the first time tells the whole story.

Journal of Applied Logics. IfCoLog Journal of Logics and Their Applications. Volume 11, Number 4, August 2024

Journal of Applied Logics. IfCoLog Journal of Logics and Their Applications. Volume 11, Number 4, August 2024
Author: Dov Gabbay
Publisher:
Total Pages: 0
Release: 2024-08-19
Genre: Mathematics
ISBN: 9781848904613

The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
Author: Ivo Düntsch
Publisher: Springer Nature
Total Pages: 591
Release: 2021-09-24
Genre: Philosophy
ISBN: 3030714306

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

Argumentation Schemes

Argumentation Schemes
Author: Douglas Walton
Publisher: Cambridge University Press
Total Pages: 457
Release: 2008-08-04
Genre: Mathematics
ISBN: 1316583139

This book provides a systematic analysis of many common argumentation schemes and a compendium of 96 schemes. The study of these schemes, or forms of argument that capture stereotypical patterns of human reasoning, is at the core of argumentation research. Surveying all aspects of argumentation schemes from the ground up, the book takes the reader from the elementary exposition in the first chapter to the latest state of the art in the research efforts to formalize and classify the schemes, outlined in the last chapter. It provides a systematic and comprehensive account, with notation suitable for computational applications that increasingly make use of argumentation schemes.

Proof Theory

Proof Theory
Author: Katalin Bimbo
Publisher: CRC Press
Total Pages: 388
Release: 2014-08-20
Genre: Mathematics
ISBN: 1466564660

Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi for various non-classical logics, from intuitionistic logic to relevance logic, linear logic, and modal logic. In the first chapters, the author emphasizes classical logic and a variety of different sequent calculi for classical and intuitionistic logics. She then presents other non-classical logics and meta-logical results, including decidability results obtained specifically using sequent calculus formalizations of logics. The book is suitable for a wide audience and can be used in advanced undergraduate or graduate courses. Computer scientists will discover intriguing connections between sequent calculi and resolution as well as between sequent calculi and typed systems. Those interested in the constructive approach will find formalizations of intuitionistic logic and two calculi for linear logic. Mathematicians and philosophers will welcome the treatment of a range of variations on calculi for classical logic. Philosophical logicians will be interested in the calculi for relevance logics while linguists will appreciate the detailed presentation of Lambek calculi and their extensions.

Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications. Volume 8, Issue 2, March 2021. Special Issue Assertion and Proof

Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications. Volume 8, Issue 2, March 2021. Special Issue Assertion and Proof
Author: Massimiliano Carrara
Publisher:
Total Pages: 310
Release: 2021-03-02
Genre:
ISBN: 9781848903609

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of IfCoLog (www.ifcolog.net).

The Abductive Structure of Scientific Creativity

The Abductive Structure of Scientific Creativity
Author: Lorenzo Magnani
Publisher: Springer
Total Pages: 240
Release: 2017-08-29
Genre: Philosophy
ISBN: 3319592564

This book employs a new eco-cognitive model of abduction to underline the distributed and embodied nature of scientific cognition. Its main focus is on the knowledge-enhancing virtues of abduction and on the productive role of scientific models. What are the distinctive features that define the kind of knowledge produced by science? To provide an answer to this question, the book first addresses the ideas of Aristotle, who stressed the essential inferential and distributed role of external cognitive tools and epistemic mediators in abductive cognition. This is analyzed in depth from both a naturalized logic and an ecology of cognition perspective. It is shown how the maximization of cognition, and of abducibility – two typical goals of science – are related to a number of fundamental aspects: the optimization of the eco-cognitive situatedness; the maximization of changeability for both the input and the output of the inferences involved; a high degree of information-sensitiveness; and the need to record the “past life” of abductive inferential practices. Lastly, the book explains how some impoverished epistemological niches – the result of a growing epistemic irresponsibility associated with the commodification and commercialization of science – are now seriously jeopardizing the flourishing development of human creative abduction.