Author: Bodil Branner
Publisher:
ISBN:
Category :
Languages : en
Pages : 10
Book Description
On the Foundation of Mathematica Scandinavica
Mathematica Scandinavica
Mathematica Scandinavica
Feferman on Foundations
Author: Gerhard Jäger
Publisher: Springer
ISBN: 3319633341
Category : Mathematics
Languages : en
Pages : 617
Book Description
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Publisher: Springer
ISBN: 3319633341
Category : Mathematics
Languages : en
Pages : 617
Book Description
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Publications Resulting from National Science Foundation Research Grants Through Fiscal Year Ending June 30, 1956
Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Biology
Languages : en
Pages : 60
Book Description
Publisher:
ISBN:
Category : Biology
Languages : en
Pages : 60
Book Description
The Flawed Foundations of General Equilibrium Theory
Author: Frank Ackerman
Publisher: Routledge
ISBN: 1135997373
Category : Business & Economics
Languages : en
Pages : 418
Book Description
This book, as the title suggests, explains how General equilibrium, the dominant conceptual framework in mainstream economics, describes a perfectly impossible world. Even with its counterfactual assumptions taken for granted, it fails on many levels. Under the impressive editorship of Ackerman and Nadal, this book will appeal to students and resea
Publisher: Routledge
ISBN: 1135997373
Category : Business & Economics
Languages : en
Pages : 418
Book Description
This book, as the title suggests, explains how General equilibrium, the dominant conceptual framework in mainstream economics, describes a perfectly impossible world. Even with its counterfactual assumptions taken for granted, it fails on many levels. Under the impressive editorship of Ackerman and Nadal, this book will appeal to students and resea
Annual report of the National Science Foundation
Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 280
Book Description
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 280
Book Description
Perspectives on Scandinavian Science in the Early Twentieth Century
Author: Reinhard Siegmund-Schultze
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 356
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 356
Book Description
Mathematica Scandinavica. Ed. societates mathematicæ Daniæ, Fenniæ, 1-2
Logic Colloquium '01
Author: Matthias Baaz
Publisher: Cambridge University Press
ISBN: 1108695442
Category : Mathematics
Languages : en
Pages :
Book Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twentieth publication in the Lecture Notes in Logic series, contains the proceedings of the 2001 European Summer Meeting of the Association for Symbolic Logic, held at the Vienna University of Technology. Two long articles present accessible expositions on resolution theorem proving and the determinacy of long games. The remaining articles cover separate research topics in many areas of mathematical logic, including applications in computer science, proof theory, set theory, model theory, computability theory, linguistics and aspects of philosophy. This collection will interest not only mathematical logicians but also philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians working in algebra, abstract analysis and topology.
Publisher: Cambridge University Press
ISBN: 1108695442
Category : Mathematics
Languages : en
Pages :
Book Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twentieth publication in the Lecture Notes in Logic series, contains the proceedings of the 2001 European Summer Meeting of the Association for Symbolic Logic, held at the Vienna University of Technology. Two long articles present accessible expositions on resolution theorem proving and the determinacy of long games. The remaining articles cover separate research topics in many areas of mathematical logic, including applications in computer science, proof theory, set theory, model theory, computability theory, linguistics and aspects of philosophy. This collection will interest not only mathematical logicians but also philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians working in algebra, abstract analysis and topology.