Dag Prawitz on Proofs and Meaning

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Beschreibung

This volume is dedicated to Prof. Dag Prawitz and his outstanding contributions to philosophical and mathematical logic. Prawitz's eminent contributions to structural proof theory, or general proof theory, as he calls it, and inference-based meaning theories have been extremely influential in the development of modern proof theory and anti-realistic semantics. In particular, Prawitz is the main author on natural deduction in addition to Gerhard Gentzen, who defined natural deduction in his PhD thesis published in 1934.
The book opens with an introductory paper that surveys Prawitz's numerous contributions to proof theory and proof-theoretic semantics and puts his work into a somewhat broader perspective, both historically and systematically. Chapters include either in-depth studies of certain aspects of Dag Prawitz's work or address open research problems that are concerned with core issues in structural proof theory and range from philosophical essays to papers of a mathematical nature. Investigations into the necessity of thought and the theory of grounds and computational justifications as well as an examination of Prawitz's conception of the validity of inferences in the light of three ¿dogmas of proof-theoretic semantics¿ are included. More formal papers deal with the constructive behaviour of fragments of classical logic and fragments of the modal logic S4 among other topics.
In addition, there are chapters about inversion principles, normalization of proofs, and the notion of proof-theoretic harmony and other areas of a more mathematical persuasion. Dag Prawitz also writes a chapter in which he explains his current views on the epistemic dimension of proofs and addresses the question why some inferences succeed in conferring evidence on their conclusions when applied to premises for which one already possesses evidence.

Über den Autor

Heinrich Wansing is a professor of logic and epistemology at the Ruhr University Bochum (Germany). He is known for his work in philosophical logic, including the semantics and proof theory of modal, constructive, paraconsistent, many-valued and other non-classical logics. Moreover, he is the editor-in-chief of the book series Trends in Logic (Springer)

Zusammenfassung

First volume to give a comprehensive account of Dag Prawitz's seminal contributions to proof theory and proof-theoretic semantics

Offers original, up-to-date contributions by world-wide leading experts in structural proof theory and proof-theoretic semantics

Includes topic of proofs and meaning approached from various disciplines in which logic is at home: philosophy, mathematics, and computer science

Includes supplementary material: [...]

Inhaltsverzeichnis

Prawitz, proofs, and meaning; Wansing, Heinrich.- A short scientific autobiography; Prawitz, Dag.- Explaining deductive inference; Prawitz, Dag.- Necessity of Thought; Cozzo, Cesare.- On the Motives for Proof Theory; Detlefsen, Michael.- Inferential Semantics; Doen, Kosta.- Cut elimination, substitution and normalization; Dyckhoff, Roy.- Inversion principles and introduction rules; Milne, Peter.- Intuitionistic Existential Instantiation and Epsilon Symbol; Mints, Grigori.- Meaning in Use; Negri, Sara and von Plato, Jan.- Fusing Quantifiers and Connectives: Is Intuitionistic Logic Different?; Pagin, Peter.- On constructive fragments of Classical Logic; Pereira; Luiz Carlos and Haeusler, Edward Hermann.- General-Elimination Harmony and Higher-Level Rules; Read, Stephen.- Hypothesis-discharging rules in atomic bases; Sandqvist, Tor.- Harmony in proof-theoretic semantics: A reductive analysis; Schroeder-Heister, Peter.- First-order Logic without bound variables: Compositional Semantics; Tait, William W.- On Gentzen's Structural Completeness Proof; Tennant, Neil.- A Notion of C-Justification for Empirical Statements; Usberti, Gabriele.

Erscheinungsjahr:	2016
Fachbereich:	Allgemeines
Genre:	Geisteswissenschaften , Kunst , Musik , Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Taschenbuch
Reihe:	Outstanding Contributions to Logic
Inhalt:	xiii 458 S. 6 s/w Illustr. 458 p. 6 illus.
ISBN-13:	9783319360317
ISBN-10:	3319360310
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Wansing, Heinrich
Redaktion:	Wansing, Heinrich
Herausgeber:	Heinrich Wansing
Auflage:	Softcover reprint of the original 1st ed. 2015
Hersteller:	Springer International Publishing Springer International Publishing AG Outstanding Contributions to Logic
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 26 mm
Von/Mit:	Heinrich Wansing
Erscheinungsdatum:	22.09.2016
Gewicht:	0,709 kg

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