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Structures and Algorithms
This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathemat...
Grammar, Geometry, & Brain
This original study considers the effects of language and meaning on the brain. Jens Erik Fenstad--an expert in the fields of recursion theory, nonstandard analysis, and natural language semantics--combines current formal semantics with a geometric structure in order to trace how common nouns, properties, natural kinds, and attractors link with brain dynamics.
General Recursion Theory
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. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.
Ideas and Methods in Mathematical Analysis, Stochastics, and Applications: Volume 1
A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
General Recursion Theory
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. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.
Nonstandard Methods in Stochastic Analysis and Mathematical Physics
Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.
Studies in Inductive Logic and Probability
A basic system of inductive logic; An axiomatic foundation for the logic of inductive generalization; A survey of inductive systems; On the condition of partial exchangeability; Representation theorems of the de finetti type; De finetti's generalizations of excahngeability; The structure of probabilities defined on first-order languages; A subjectivit's guide to objective chance.
European Science and Scientists Between Freedom and Responsibility
Euroscientia Conferences, formerly "The European Science and Technology Forum" were created in 1994 by the European Commission in order to stimulate reflection and debate on science and technology on a European scale. To this aim, they provide a framework for conferences and studies on subjects related to historical, cultural, ethical, social, but also economic and political aspects of science and technology. The originality of the Euroscientia Conferences, when compared with other initiatives in this field, is to address the questions dealt with specifically within their European dimension: attention is concentrated on the particularity of the situation in the field concerned in Europe in c...
