Modern Logic 1850 1950 East and West 1st Edition by Francine Abeles, Mark Fuller ISBN 978-3319247540 3319247549

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Product details: 

ISBN 10:  3319247549

ISBN 13: 978-3319247540

Author:  Francine F. Abeles,  Mark E. Fuller

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.

Table of contents: 

1. Introduction
2. Francine F. Abeles and Mark E. Fuller
3. Preface and Prospectus to a planned “History vs. Philosophy of Logic” Text..
4. Irving H. Anellis
5. The Historical Sources of Tree Graphs and the Tree Method
6. in the Work of Peirce and Gentzen
7. Irving H. Anellis and Francine F. Abeles
8. Logic and Argumentation in Belgium: The Role of Leo Apostel
9. Jean Paul I have a patient
10. Tarski’s Recantation: Reading the Postscript to “Wahrheitsbegriff”
11. Philippe de Rouilhan
12. Paradox of Analyticity and Related Issues
13. Jan Woleński
14. Naturalizing Natural Deduction
15. David DeVidi and Herbert Korté
16. Category Theory and the Search for Universals: A Very Short Guide for Philosophers
17. Alberto Peruzzi
18. On the Way to Modern Logic: The Case of Polish Logic
19. Roman Murawski
20. Russian Origins of Non-Classical Logics
21. Valentin A. Bazhanov
22. Constructive Mathematics in St. Petersburg, Russia: A (Somewhat Subjective) View from Within
23. Vladik Kreinovich
24. On Normalizing Disjunctive Intermediate Logics
25. Jonathan P. Seldin
26. A Natural Axiom System for Boolean Algebras with Applications
27. R.E. Hodel

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Tags: Francine Abeles, Mark Fuller, Modern Logic, East and West