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This unique collection of research papers provides an important contribution to the area of Mathematical Logic and Formal Systems. Exploring interesting practical applications as well as problems for further investigation, this single-source reference discusses the interpretations of the concept of probability and their relationship to statistical methods ... illustrates the problem of set theoretical foundations and category theory ... treats the various aspects of the theory of large cardinals including combinatorial properties of some sets naturally related to them ... resolves an open problem in the theory of relations ... and characterizes interpretations of elementary theories as functors between categories whose objects are structures. Written by world-renowned authorities in their fields, Mathematical Logic and Formal Systems is important reading for logicians, pure and applied mathematicians, and graduate students in logic courses. Book jacket.
Non-Classical Logics, Model Theory, And Computability
The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today.As well as selected papers, the two panel discussions are also included, on ``Trends in Logic'' and ``The Teaching of Logic''.
Proteomics and peptidomics is the detailed understanding of the role that proteins and peptides play in health and disease and is a necessary compliment to genetic analysis. The functional expression analysis of both proteins and peptides plays a central role in modern drug discovery as well as drug development, and is also a key research area in systems biology. Proteomics and Peptidomics captures the width as well as the depth within the area and exemplifies the variety as well as the traditional basis of analytical chemistry that is needed in order to move forward in expression analysis studies. As a fast emerging field, it gives and overview of parts within the field combined with highly specialized and dedicated topics that are intended to compliment each other.
In the past thirty years, two fundamental issues have emerged in the philosophy of science. One concerns the appropriate attitude we should take towards scientific theories--whether we should regard them as true or merely empirically adequate, for example. The other concerns the nature of scientific theories and models and how these might best be represented. In this ambitious book, da Costa and French bring these two issues together by arguing that theories and models should be regarded as partially rather than wholly true. They adopt a framework that sheds new light on issues to do with belief, theory acceptance, and the realism-antirealism debate. The new machinery of "partial structures" that they develop offers a new perspective from which to view the nature of scientific models and their heuristic development. Their conclusions will be of wide interest to philosophers and historians of science.
Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Man., sponsored by the Dept. of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.
This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Here is presented for the first time a comprehensive review and analysis of the several roles played by idealization procedures in the logic, mathematics and models that lie at the heart of modern, twentieth century physics. It is only through idealization of one form or another that the objects and processes of modern physics become tractable. The essays in this volume will be of interest to all those who are concerned with the uses of models in physics, and the relationships between models and the real world. The essays in this volume cover the role of idealization in all the main areas of modern physics, ranging from quantum theory, relativity theory and cosmology to chaos theory.