Remarks on Mathematical Or Demonstrative Reasoning PDF Download
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Author: Edward Tagart
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 158
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Book Description
Author: Edward Tagart
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 158
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Book Description
![Remarks on mathematical or demonstrative reasoning:its connexion with logic [&c.]. PDF](https://books.google.com/books/content/images/frontcover/xU0EAAAAQAAJ?fife=w80-h100)
Author: Edward Tagart
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 156
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Book Description
Author: Carlo Cellucci
Publisher: Springer Science & Business Media
ISBN: 9400760914
Category : Philosophy
Languages : en
Pages : 391
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Book Description
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
Author: G. Polya
Publisher: Princeton University Press
ISBN: 9780691025094
Category : Mathematics
Languages : en
Pages : 300
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Book Description
"Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines."--Book cover.
Author: Charles S. Peirce
Publisher: Indiana University Press
ISBN: 0253004691
Category : Philosophy
Languages : en
Pages : 336
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Book Description
The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.
Author: Ronald A. Beghetto
Publisher: Springer
ISBN: 3319219243
Category : Education
Languages : en
Pages : 357
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Book Description
Creative Contradictions in Education is a provocative collection of essays by international experts who tackle difficult questions about creativity in education from a cross-disciplinary perspective. The contributors to this volume examine and provide fresh insights into the tensions and contradictions that researchers and educators face when attempting to understand and apply creativity in educational contexts. Creativity in education is surrounded by many contradictions. Teachers generally value creativity, but question the role it can and should play in their classroom. Many educators find themselves feeling caught between the push to promote students’ creative thinking skills and the pull to meet external curricular mandates, increased performance monitoring, and various other curricular constraints. This book brings together leading experts who provide fresh, cross-disciplinary insights into how creative contradictions in education might be addressed. Contributors will draw from existing empirical and theoretical work, but push beyond “what currently is” and comment on future possibilities. This includes challenging the orthodoxy of traditional conceptions of creativity in education or making a case for maintaining particular orthodoxies.
Author: Miriam Frances Dunn
Publisher:
ISBN:
Category : Reasoning
Languages : en
Pages : 164
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Book Description
Author: Bodleian Library
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 1040
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Book Description
Author: Lorenzo Magnani
Publisher: Springer
ISBN: 3319305263
Category : Technology & Engineering
Languages : en
Pages : 1179
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Book Description
This handbook offers the first comprehensive reference guide to the interdisciplinary field of model-based reasoning. It highlights the role of models as mediators between theory and experimentation, and as educational devices, as well as their relevance in testing hypotheses and explanatory functions. The Springer Handbook merges philosophical, cognitive and epistemological perspectives on models with the more practical needs related to the application of this tool across various disciplines and practices. The result is a unique, reliable source of information that guides readers toward an understanding of different aspects of model-based science, such as the theoretical and cognitive nature of models, as well as their practical and logical aspects. The inferential role of models in hypothetical reasoning, abduction and creativity once they are constructed, adopted, and manipulated for different scientific and technological purposes is also discussed. Written by a group of internationally renowned experts in philosophy, the history of science, general epistemology, mathematics, cognitive and computer science, physics and life sciences, as well as engineering, architecture, and economics, this Handbook uses numerous diagrams, schemes and other visual representations to promote a better understanding of the concepts. This also makes it highly accessible to an audience of scholars and students with different scientific backgrounds. All in all, the Springer Handbook of Model-Based Science represents the definitive application-oriented reference guide to the interdisciplinary field of model-based reasoning.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1036
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Book Description
