Overview
- Expounds a fresh approach to classical logic that aims to restore its utility as a scientific method
- Reframes Aristotelian methods for use in modern science
- Adopts a fresh practical perspective on the links between logic and methodology, including the influence of emotions
- Reconceptualises the relational nexus between logic and knowledge ?
Part of the book series: Logic, Argumentation & Reasoning (LARI)
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Table of contents (22 chapters)
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Front Matter
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An Alternative Perspective
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Front Matter
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Keywords
About this book
This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice.
Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically.
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Reviews
“Cellucci puts logic back in its place, after it was turned upside down by the drifts of AP (analytical philosophy), which pushed the search for certainty and foundations too far.” (Emiliano Ippoliti, Epistemologia, Vol. 38 (2), July-December, 2015)
“Well documented, closely argued, and informed by truly inspired, and truly incompatible, interpretations of the Western tradition of logic, mathematics, and metaphysics.” (Emily R. Grosholz, Philosophia Mathematica, Vol. 23 (1), February, 2015)
“This textbook traces the history of Logic ranging from epistemology to induction and deduction. … I can recommend it to the philosophical audience for which it is addressed.” (Joseph Grenier, Amazon.com, March, 2014)
“Rethinking Logic is a valuable and remarkable book, especially because it does not resemble to any of the books dealing with logic which normally can be found on the market. … It is … a global and wide philosophical reflection on what logic and knowledge are, which argues for a theoretically purposeful view, with which one may obviously disagree, but with which it is certainly interesting confronting.” (Fabio Sterpetti, Philosophical Inquiries, Vol. 2 (2), 2014)
Authors and Affiliations
Bibliographic Information
Book Title: Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method
Authors: Carlo Cellucci
Series Title: Logic, Argumentation & Reasoning
DOI: https://doi.org/10.1007/978-94-007-6091-2
Publisher: Springer Dordrecht
eBook Packages: Humanities, Social Sciences and Law, Philosophy and Religion (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2013
Hardcover ISBN: 978-94-007-6090-5Published: 21 October 2013
Softcover ISBN: 978-94-024-0102-8Published: 23 August 2016
eBook ISBN: 978-94-007-6091-2Published: 09 October 2013
Series ISSN: 2214-9120
Series E-ISSN: 2214-9139
Edition Number: 1
Number of Pages: XV, 389
Number of Illustrations: 35 b/w illustrations
Topics: Logic, Mathematical Logic and Formal Languages, History of Philosophy