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Modern Logic 1850-1950, East and West: Studies in Universal Logic

Editat de Francine F. Abeles, Mark E. Fuller
en Limba Engleză Paperback – 6 iun 2016
This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Charles Sanders Peirce. Anellis’s association with the Russian logic community introduced their school of logic to a wider audience in the USA, Canada and Western Europe. In addition, the collection takes a historical perspective on proof theory and the development of logic and mathematics in Eastern Logic, the Soviet Union and Russia.
The book will be of interest to historians and philosophers in logic and mathematics, and the more specialized papers will also appeal to mathematicians and logicians.
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Specificații

ISBN-13: 9783319247540
ISBN-10: 3319247549
Pagini: 284
Ilustrații: XIII, 258 p. 75 illus., 4 illus. in color.
Dimensiuni: 168 x 240 x 15 mm
Greutate: 0.44 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Studies in Universal Logic

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Contributors.- Introduction.- Irving H. Anellis: Preface and Prospectus.- Irving H. Anellis and Francine F. Abeles: The Historical Sources of Tree Graphs and the Tree Method in the Work of Peirce and Gentzen.- Jean Paul Van Bendegem: Logic and Argumentation in Belgium: The Role of Leo Apostel.- Philippe de Rouilhan: Tarski’s Recantation: Reading the Postscript to “Wahrheitsbegriff”.- Jan Woleński: The Paradox of Analyticity and Related Issues.- David DeVidi and Herbert Korté: Naturalizing Natural Deduction.- Alberto Peruzzi: Category Theory and the Search for Universals: A Very Short Guide for Philosophers.- Roman Murawski: On the Way to Modern Logic – The Case of Polish Logic.- Valentin A. Bazhanov: Russian Origins of Non-Classical Logics.- Vladik Kreinovich: Constructive Mathematics in St. Petersburg, Russia: A (Somewhat Subjective) View from Within.- Jonathan P. Seldin: On Normalizing Disjunctive Intermediate Logic.- R.E. Hodel: A Natural Axiom System for Boolean Algebras with Applications. 

Recenzii

“Modern Logic, 1850–1950, East and West is a memorial volume for the respected historian of logic Irving H. Anellis … . an excellent job identifying the distinctive features of this work in accessible terms and is able to reflect on its historical importance and broader social context from firsthand experience. … an excellent starting point for any historical study of this avenue of mathematical research. Overall, this volume is a fitting tribute to Anellis and the journal he founded.” (Andrew Aberdein, Isis, Vol. 108 (3), September, 2017)

Textul de pe ultima copertă

This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Charles Sanders Peirce. Anellis’s association with the Russian logic community introduced their school of logic to a wider audience in the USA, Canada and Western Europe. In addition, the collection takes a historical perspective on proof theory and the development of logic and mathematics in Eastern Logic, the Soviet Union and Russia.
The book will be of interest to historians and philosophers in logic and mathematics, and the more specialized papers will also appeal to mathematicians and logicians.

Caracteristici

Spans the first 100 years of modern logic Presents the views of authors from the USA and Canada, and from France, Italy, the Netherlands, Poland and Russia Highlights the work of Charles Sanders Peirce and the lesser known history of alternative logics in the East and West