Description 
1 online resource 
Series 
Outstanding contributions to logic ; v. 7 

Outstanding contributions to logic ; v. 7.

Contents 
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; Došen, 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  GeneralElimination Harmony and HigherLevel Rules; Read, Stephen  Hypothesisdischarging rules in atomic bases; Sandqvist, Tor  Harmony in prooftheoretic semantics: A reductive analysis; SchroederHeister, Peter  Firstorder Logic without bound variables: Compositional Semantics; Tait, William W  On Gentzen's Structural Completeness Proof; Tennant, Neil  A Notion of CJustification for Empirical Statements; Usberti, Gabriele 
Summary 
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 inferencebased meaning theories have been extremely influential in the development of modern proof theory and antirealistic 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 prooftheoretic semantics and puts his work into a somewhat broader perspective, both historically and systematically. Chapters include either indepth 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 ℓ́ℓdogmas of prooftheoretic semanticsℓ́ℓ 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 prooftheoretic 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 
Analysis 
computerwetenschappen 

computer sciences 

wiskunde 

mathematics 

filosofie 

philosophy 

logica 

logic 

Philosophy (General) 

Filosofie (algemeen) 
Notes 
Vendorsupplied metadata 
Subject 
Prawitz, Dag.


Prawitz, Dag. 

Logic.


Logic design.


Logic, Symbolic and mathematical.


Philosophy.


philosophy.


Mathematical foundations.


Computer programming  software development.


Philosophy: logic.


PHILOSOPHY  Logic.


Logic.


Logic design.


Logic, Symbolic and mathematical.


Philosophy.

Form 
Electronic book

Author 
Wansing, H. (Heinrich)

ISBN 
9783319110417 

3319110411 
