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The book exmaines closure spaces, an abstract mathematical theory, with special emphasis on results applicable to formal logic. The theory is developed, conceptually and methodologically, as part of topology. At the least, the book shows how techniques and results from topology can be usefully employed in the theory of deductive systems. At most, since it shows that much of logical theory can be represented within closure space theory, the abstract theory of derivability and consequence can be considered a branch of applied topology. One upshot of this appears to be that the concepts of logic need not be overtly linguistic nor do logical systems need to have the syntax they are usually assumed to have. Audience: The book presupposes very little technical knowledge, but can probably be read most easily by someone with a background in symbolic logic or, even better, upper division or graduate mathematics. It should be of interest to logicians and, to a lesser degree, computer scientists and other mathematicians.
JULIAN VERBOV ABOUT THE EDITOR Dr Julian Verbov is Consultant Dermatologist to Liverpool Health Authority and Honorary Clinical Lecturer in Dermatology at the University of Liverpool. He is a Fellow of the Zoological Society of London and a Member of the Society of Authors.
JULIAN VERBOV ix ABOUT THE EDITOR Dr Julian Verbov is Consultant Dermatologist to Liverpool Health Authority and Clinical Lecturer in Dermatology at the University of Liverpool.
We have endeavoured in this book to bring the reader up-to-date information, which will contribute to an enhanced ability to diagnose and treat mycobacterial skin diseases.
JULIAN VERBOV ix ABOUT THE EDITOR Dr Julian Verbov is Consultant Dermatologist to Liverpool Health Authority and Clinical Lecturer in Dermatology at the University of Liverpool.
JULIAN VERBOV ABOUT THE EDITOR Dr Julian Verbov is Consultant Dermatologist to Liverpool Health Authority and Honorary Clinical Lecturer in Dermatology at the University of Liverpool. He is a Fellow of the Zoological Society of London and a Member of the Society of Authors.
We have endeavoured in this book to bring the reader up-to-date information, which will contribute to an enhanced ability to diagnose and treat mycobacterial skin diseases. This volume is mainly concerned with conveying to dermatologists, microbiologists, immunologists, dermatologists in training, registrars in other specialties and interested family practitioners, a concise appraisal of some recent developments in the various aspects of myco- bacterial skin diseases. The chapters dealing with bacteriology, pathology and immunology have been planned to appear at the beginning of the book to provide the necessary conceptual framework for the section on clinical science, which deals with the variety of clinical states. The value of the clinical descriptions is vastly enhanced by a careful reading of the earlier chapters. The contributing authors have been most cooperative in making this, the tenth volume in the New Clinical Applications in Dermatology series, an excellent treatise. I thank each of them for their superb contributions. If this book stimulates and encourages a greater interest in, and a better understanding of, mycobacterial skin diseases, and enables physicians to serve more effectively those who suffer, the time and effort spent to produce it will be amply rewarded. PROFESSOR MARWALI HARAHAP IX SERIES EDITOR'S FOREWORD It was with great pleasure that I heard of Professor Harahap's wish to produce a volume on mycobacterial skin diseases.
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