ISBN:
9783031509810
,
9783031509803
Language:
Undetermined
Pages:
1 Online-Ressource (463 p.)
Series Statement:
Outstanding Contributions to Logic
Keywords:
Proof-theoretic Semantics
;
Logical Constants
;
Proof Theory
;
Deductive Logic
;
Constructive Logic
;
Intuitionistic Logic
;
Mathematical Logic
;
Peter Schroeder-Heister
;
Gerhard Gentzen
;
Gottlob Frege
;
thema EDItEUR::Q Philosophy and Religion::QD Philosophy
;
thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic
;
thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language
;
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics
;
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations
;
thema EDItEUR::C Language and Linguistics::CB Language: reference and general::CBX Language: history and general works
Abstract:
This open access book is a superb collection of some fifteen chapters inspired by Schroeder-Heister's groundbreaking work, written by leading experts in the field, plus an extensive autobiography and comments on the various contributions by Schroeder-Heister himself. For several decades, Peter Schroeder-Heister has been a central figure in proof-theoretic semantics, a field of study situated at the interface of logic, theoretical computer science, natural-language semantics, and the philosophy of language. The chapters of which this book is composed discuss the subject from a rich variety of angles, including the history of logic, the proper interpretation of logical validity, natural deduction rules, the notions of harmony and of synonymy, the structure of proofs, the logical status of equality, intentional phenomena, and the proof theory of second-order arithmetic. All chapters relate directly to questions that have driven Schroeder-Heister's own research agenda and to which he has made seminal contributions. The extensive autobiographical chapter not only provides a fascinating overview of Schroeder-Heister's career and the evolution of his academic interests but also constitutes a contribution to the recent history of logic in its own right, painting an intriguing picture of the philosophical, logical, and mathematical institutional landscape in Germany and elsewhere since the early 1970s. The papers collected in this book are illuminatingly put into a unified perspective by Schroeder-Heister's comments at the end of the book. Both graduate students and established researchers in the field will find this book an excellent resource for future work in proof-theoretic semantics and related areas
Note:
English
