Author: D. W. KuekerPublisher: Springer
ISBN: 3540379495
Category : Mathematics
Languages : en
Pages : 214
Book Description
A Collection of Papers by Varoius Authors
Infinitary Logic
Author: D. W. KuekerPublisher: Springer
ISBN: 3540379495
Category : Mathematics
Languages : en
Pages : 214
Book Description
A Collection of Papers by Varoius Authors
Model Theory and the Philosophy of Mathematical Practice
Author: John T. BaldwinPublisher: Cambridge University Press
ISBN: 1107189217
Category : Mathematics
Languages : en
Pages : 365
Book Description
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Lectures on Infinitary Model Theory
Author: David MarkerPublisher: Cambridge University Press
ISBN: 1107181933
Category : Mathematics
Languages : en
Pages : 192
Book Description
This book is the first modern introduction to the logic of infinitary languages in forty years, and is aimed at graduate students and researchers in all areas of mathematical logic. Connections between infinitary model theory and other branches of mathematical logic, and applications to algebra and algebraic geometry are both comprehensively explored.
Model-Theoretic Logics
Author: J. BarwisePublisher: Cambridge University Press
ISBN: 1107168252
Category : Mathematics
Languages : en
Pages : 912
Book Description
This book brings together several directions of work in model theory between the late 1950s and early 1980s.
Model Theory for Infinitary Logic
Author: H. Jerome KeislerPublisher:
ISBN:
Category : Infinitary languages
Languages : en
Pages : 230
Book Description
Provability, Computability and Reflection.
The Syntax and Semantics of Infinitary Languages
Author: Jon BarwisePublisher: Springer
ISBN: 3540359001
Category : Mathematics
Languages : en
Pages : 277
Book Description
0-1 Laws for Infinitary Logics
Author: Phokion Gerasimos KolaitisPublisher:
ISBN:
Category : Logic programming
Languages : en
Pages : 24
Book Description
Abstract: "We investigate asymptotic probabilities of properties expressible in the infinitary logic [formula] on finite structures. Sentences in this logic may have arbitrary disjunctions and conjunctions, but they involve only a finite number of distinct variables. We show that the 0-1 law holds for [formula], i.e., the asymptotic probability of every sentence in this logic exists and is equal to either 0 or 1. This result subsumes earlier work on asymptotic probabilities for various fixpoint logics and reveals the boundary of 0-1 laws for infinitary logics."
Model Theory For Infinitary Logic
Author: Lev D. BeklemishevPublisher: Elsevier
ISBN: 0080954758
Category : Mathematics
Languages : en
Pages : 219
Book Description
Model Theory For Infinitary Logic
Handbook of Philosophical Logic
Author: Dov M. GabbayPublisher: Springer Science & Business Media
ISBN: 9401598339
Category : Philosophy
Languages : en
Pages : 404
Book Description
It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise, The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
Understanding the Infinite
Author: Shaughan LavinePublisher: Harvard University Press
ISBN: 0674039998
Category : Philosophy
Languages : en
Pages : 386
Book Description
How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge.