Filter by
Modern Logic 1850-1950, East and West
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 Ch…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-24754-0
- Collation
- XIII, 258
- Series Title
- Studies in Universal Logic
- Call Number
- -
Towards an Arithmetical Logic
This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic and combines Fermat’s method of infinite descent with Kroneck…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-22087-1
- Collation
- XI, 184
- Series Title
- Studies in Universal Logic
- Call Number
- -
Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer
This volume tackles Gödel's two-stage project of first using Husserl's transcendental phenomenology to reconstruct and develop Leibniz' monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage. The book is organised around Gödel…
- Edition
- -
- ISBN/ISSN
- 978-3-319-10031-9
- Collation
- XIV, 328
- Series Title
- -
- Call Number
- -
Ernst Zermelo An Approach to His Life and Work
This biography sheds light on all facets of the life and the achievements of Ernst Zermelo (1871-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics. His dissertation, for example, promoted the calculus of variations, and he created the pivotal method in the theory of …
- Edition
- -
- ISBN/ISSN
- 978-3-662-47997-1
- Collation
- 43 b/w illustrations
- Series Title
- -
- Call Number
- -
Gentzen's Centenary
Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in p…
- Edition
- -
- ISBN/ISSN
- 978-3-319-10102-6
- Collation
- -
- Series Title
- -
- Call Number
- 510.1 GEN
Introduction to Concurrency Theory: Transition Systems and CCS
This book presents the fundamentals of concurrency theory with clarity and rigor. The authors start with the semantic structure, namely labelled transition systems, which provides us with the means and the tools to express processes, to compose them, and to prove properties they enjoy. The rest of the book relies on Milner's Calculus of Communicating Systems, tailored versions of which are used…
- Edition
- -
- ISBN/ISSN
- 978-3-319-21491-7
- Collation
- -
- Series Title
- -
- Call Number
- -
The Unknown as an Engine for Science An Essay on the Definite and the Indefi…
This book explores the limits of our knowledge. The author shows how uncertainty and indefiniteness not only define the borders confining our understanding, but how they feed into the process of discovery and help to push back these borders. Starting with physics the author collects examples from economics, neurophysiology, history, ecology and philosophy. The first part shows how informatio…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18509-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Modern Logic 1850-1950, East and West
“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 mat…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-24754-0
- Collation
- XIII, 258
- Series Title
- Studies in Universal Logic
- Call Number
- -
Computer Science, Information & General Works 
Philosophy & Psychology 
Religion 
Social Sciences 
Language 
Pure Science 
Applied Sciences 
Art & Recreation 
Literature 
History & Geography