Structures and Algorithms Mathematics and the Nature of Knowledge
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 methodolog
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Jens Erik Fenstad
Structures and Algorithms Mathematics and the Nature of Knowledge
Logic, Argumentation & Reasoning Interdisciplinary Perspectives from the Humanities and Social Sciences Volume 15
Series editor Shahid Rahman
Logic, Argumentation & Reasoning explores the links between Humanities and the Social Sciences, with theories including, decision and action theory as well as cognitive sciences, economy, sociology, law, logic, and philosophy of sciences. It’s two main ambitions are to develop a theoretical framework that will encourage and enable interaction between disciplines as well as to federate the Humanities and Social Sciences around their main contributions to public life: using informed debate, lucid decision-making and action based on reflection. The series welcomes research from the analytic and continental traditions, putting emphasis on four main focus areas: • • • •
Argumentation models and studies Communication, language and techniques of argumentation Reception of arguments, persuasion and the impact of power Diachronic transformations of argumentative practices
The Series is developed in partnership with the Maison Européenne des Sciences de l’Homme et de la Société (MESHS) at Nord - Pas de Calais and the UMR-STL: 8163 (CNRS). Proposals should include: • • • •
A short synopsis of the work or the introduction chapter The proposed Table of Contents The CV of the lead author(s) If available: one sample chapter
We aim to make a first decision within 1 month of submission. In case of a positive first decision the work will be provisionally contracted: the final decision about publication will depend upon the result of the anonymous peer review of the complete manuscript. We aim to have the complete work peer-reviewed within 3 months of submission. The series discourages the submission of manuscripts that contain reprints of previous published material and/or manuscripts that are below 150 pages/85,000 words. For inquiries and submission of proposals authors can contact the editor-in-chief Shahid Rahman via: [email protected] or managing editor, Juan Redmond at [email protected].
More information about this series at http://www.springer.com/series/11547
Jens Erik Fenstad
Structures and Algorithms Mathematics and the Nature of Knowledge
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Jens Erik Fenstad Institute of Mathematics University of Oslo Oslo Norway
ISSN 2214-9120 ISSN 2214-9139 (electronic) Logic, Argumentation & Reasoning ISBN 978-3-319-72973-2 ISBN 978-3-319-72974-9 (eBook) https://doi.org/10.1007/978-3-319-72974-9 Library of Congress Control Number: 2018932528 © 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 softwa
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