Rethinking Logic Logic in Relation to Mathematics Evolution and Method is popular PDF and ePub book, written by Carlo Cellucci in 2013-10-09, it is a fantastic choice for those who relish reading online the Philosophy genre. Let's immerse ourselves in this engaging Philosophy book by exploring the summary and details provided below. Remember, Rethinking Logic Logic in Relation to Mathematics Evolution and Method can be Read Online from any device for your convenience.
Rethinking Logic Logic in Relation to Mathematics Evolution and Method Book PDF Summary
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
Detail Book of Rethinking Logic Logic in Relation to Mathematics Evolution and Method PDF
- Author : Carlo Cellucci
- Release : 09 October 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789400760912
- Genre : Philosophy
- Total Page : 389 pages
- Language : English
- PDF File Size : 19,6 Mb
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