Mathematical Logic On Numbers, Sets, Structures, and Symmetry
This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions.Its first part, Logic Sets, and Numbers, shows
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Roman Kossak
Mathematical Logic On Numbers, Sets, Structures, and Symmetry
Springer Graduate Texts in Philosophy Volume 3
The Springer Graduate Texts in Philosophy offers a series of self-contained textbooks aimed towards the graduate level that covers all areas of philosophy ranging from classical philosophy to contemporary topics in the field. The texts will, in general, include teaching aids (such as exercises and summaries), and covers the range from graduate level introductions to advanced topics in the field. The publications in this series offer volumes with a broad overview of theory in core topics in field and volumes with comprehensive approaches to a single key topic in the field. Thus, the series offers publications for both general introductory courses as well as courses focused on a sub-discipline within philosophy. The series publishes: • All of the philosophical traditions • Includes sourcebooks, lectures notes for advanced level courses, as well as textbooks covering specialized topics • Interdisciplinary introductions – where philosophy overlaps with other scientific or practical areas. We aim to make a first decision within 1 month of submission. In the event of a positive first decision, the work will be provisionally contracted. The final decision on publication will depend upon the result of the anonymous peer review of the completed manuscript. We aim to have the complete work peer-reviewed within 3 months of submission. Proposals should include: • • • •
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Roman Kossak
Mathematical Logic On Numbers, Sets, Structures, and Symmetry
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Roman Kossak City University of New York New York, NY, USA
Springer Graduate Texts in Philosophy ISBN 978-3-319-97297-8 ISBN 978-3-319-97298-5 (eBook) https://doi.org/10.1007/978-3-319-97298-5 Library of Congress Control Number: 2018953167 © Springer International Publishing AG, part of Springer Nature 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information i
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