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- Author: Carlo Cellucci
- Pages: 397
- Language: English
- ISBN/ASIN: 9400760906
- ISBN13: 9789400760905
- Upload date: 21-09-2016, 18:47
- Category: Philosophy

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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Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (Logic, Argumentation & Reasoning) Download via usenet
The Evolution of Reason: Logic as a Branch of Biology (Cambridge Studies in Philosophy and Biology) The Evolution of Logic (The Evolution of Modern Philosophy) Logic: The Laws of Truth Games: Unifying Logic, Language, and Philosophy (Logic, Epistemology, and the Unity of Science) Elementary Logic Advances in Modal Logic Vol. 3 What is Mathematical Logic? (Dover Books on Mathematics) Three Views of Logic: Mathematics, Philosophy, and Computer Science The Mathematics of Logic: A Guide to Completeness Theorems and their Applications Problems in Set Theory, Mathematical Logic and the Theory of Algorithms (University Series in Mathematics) Mathematical Logic, 1e Mathematical Intuitionism: Introduction to Proof Theory (Translations of Mathematical Monographs) Logic of Arithmetic (Lectures on Mathematical Logic) Logic as Algebra (Dolciani Mathematical Expositions) Introduction to Mathematical Logic, Fifth Edition Dependence Logic: A New Approach to Independence Friendly Logic (London Mathematical Society Student Texts) British Logic in the Nineteenth Century, Volume 4 (Handbook of the History of Logic) A Profile of Mathematical Logic (Dover Books on Mathematics) A First Course in Mathematical Logic and Set Theory A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity (Oxford Texts in Logic) A Beginner's Guide to Mathematical Logic (Dover Books on Mathematics) Introduction to Logic (Synthesis Lectures on Computer Science)

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