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Bücher Englische Bücher Wissen & Bildung Geisteswissenschaft, Kunst, Musik Philosophie Allg. & Lexika Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method
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Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method
Carlo Cellucci (Taschenbuch, Englisch)
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Beschreibung
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. trigger 106,99 €
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Technische Daten
Erscheinungsdatum
23.08.2016
Sprache
Englisch
EAN
9789402401028
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Logic, Argumentation & Reasoning
Sonderedition
Nein
Autor
Carlo Cellucci
Seitenanzahl
389
Einbandart
Taschenbuch
Schlagwörter
Analytic Method, Analytic-synthetic method, Aristotle’s analytic-synthetic, Deductivist view of Aristotle's Logic, Frege's Approach to Logic, Gentzen Logic, Heuristic View of Aristotle's Logic, Kant’s view of Logic, Logic and Method, Logic of Discovery, Pappus’ analytic-synthetic method, Reason and Knowledge
Thema-Inhalt
QDTL - Philosophie: Logik
UYA - Theoretische Informatik
QDH - Philosophische Traditionen und Denkschulen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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