Logic Colloquium '90

ASL Summer Meeting in Helsinki

Juha Oikkonen, Jouko Väänänen

• Publisher: Cambridge University Press
• Year: 2017
• Print ISBN:
  9781107169029
• eBook ISBN:
  9781316731932
• Topic: Mathematics
• Subtopic: Logic in Mathematics
• Index: Mathematics

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 second publication in the Lecture Notes in Logic series, is the proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in July 1990. It contains eighteen papers by leading researchers, covering all fields of mathematical logic from the philosophy of mathematics, through model theory, proof theory, recursion theory, and set theory, to the connections of logic to computer science. The articles published here are still widely cited and continue to provide ideas for ongoing research projects.

Table of contents

• Cover
• Half-title
• Series information
• Title page
• Copyright information
• Foreword
• Invited talks of Logic Colloquium '90
• Table of contents
• A note on the ordinal analysis of KPM
• On the geometry of U-rank 2 types
• Definability and global degree theory
• About the irreflexivity hypothesis for free left distributive magmas
• On ω[sub(1)]-complete filters
• Labelled deductive systems: a position paper
• Temporal expressive completeness in the presence of gaps
• New foundations for mathematical theories
• Absoluteness for projective sets
• A division algorithm for the free left distributive algebra
• Gentzen-type systems and resolution rule Part II. Predicate logic
• An intuitionistic theory of lawlike, choice and lawless sequences
• Sense and denotation as algorithm and value
• A transfinite version of Puiseux's theorem, with applications to real closed fields
• On similarities of complete theories
• Decidability questions for theories of modules
• On CH + 2[sup(aleph[sub(1)])] -> [(alpha)sup(2)sub(2)] for alpha < ω[sub(2)]
• On the structure of gamma degrees