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Variation, Selection, Development
Can language change be modelled as an evolutionary process? Can notions like variation, selection and competition be fruitfully applied to facts of language development? The present volume ties together various strands of linguistic research which can bring us towards an answer to these questions. In one of the youngest and rapidly growing areas of linguistic research, mathematical models and simulations of competition based developments have been applied to instances of language change. By matching the predicted and observed developmental trends, researchers gauge existing models to the needs of linguistic applications and evaluate the fruitfulness of evolutionary models in linguistics. The...
Proofs and Computations
Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Ordinal analysis and the (Schwichtenberg–Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and Π11–CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and connectives and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.
Reflections on the Foundations of 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 fifteenth publication in the Lecture Notes in Logic series, collects papers presented at the symposium 'Reflections on the Foundations of Mathematics' held in celebration of Solomon Feferman's 70th birthday (The 'Feferfest') at Stanford University, California in 1988. Feferman has shaped the field of foundational research for nearly half a century. These papers reflect his broad interests as well as his approach to foundational research, which emphasizes the solution of mathematical and philosophical problems. There are four sections, covering proof theoretic analysis, logic and computation, applicative and self-applicative theories, and philosophy of modern mathematical and logic thought.
Focus
This collection of papers examines the theoretical, psychological and descriptive approaches to focus.
Logic Colloquium 2000
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 nineteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Paris, France in July 2000. This meeting marked the centennial anniversary of Hilbert's famous lecture and was held in the same hall at La Sorbonne where Hilbert presented his problems. Three long articles, based on tutorials given at the meeting, present accessible expositions of developing research in model theory, computability, and set theory. The eleven subsequent papers present work from the research frontier in all areas of mathematical logic.
From a Flexible Type System to Metapredicative Wellordering Proofs
Inauguraldissertation an der Philosophisch-naturwissenschaftlichen Fakultät der Universität Bern.
Current Catalog
First multi-year cumulation covers six years: 1965-70.
Language change for the worse
Many theories hold that language change, at least on a local level, is driven by a need for improvement. The present volume explores to what extent this assumption holds true, and whether there is a particular type of language change that we dub language change for the worse, i.e., change with a worsening effect that cannot be explained away as a side-effect of improvement in some other area of the linguistic system. The chapters of the volume, written by leading junior and senior scholars, combine expertise in diachronic and historical linguistics, typology, and formal modelling. They focus on different aspects of grammar (phonology, morphosyntax, semantics) in a variety of language families (Germanic, Romance, Austronesian, Bantu, Jê-Kaingang, Wu Chinese, Greek, Albanian, Altaic, Indo-Aryan, and languages of the Caucasus). The volume contributes to ongoing theoretical debates and discussions between linguists with different theoretical orientations.
Logic, Language and Meaning
This book contains the revised papers presented at the Amsterdam Colloquium 2009, held in Amsterdam, The Netherlands, in December 2009. The 41 thoroughly refereed and revised contributions presented together with the revised abstracts of 5 invited talks are organized in five sections: the first section contains extended abstracts of the talks given by the invited speakers; the second, third and fourth sections contain invited and submitted contributions to the three thematic workshops hosted by the colloquium: the Workshop on Implicature and Grammar, the Workshop on Natural Logic, and the Workshop on Vagueness; the final section consists of submissions to the general program. The topics covered range from descriptive (syntactic and semantic analyses of all kinds of expressions) to theoretical (logical and computational properties of semantic theories, philosophical foundations, evolution and learning of language).
