Mathematics And Plausible Reasoning 2 Patterns Of Plausible Inference
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Mathematics And Plausible Reasoning Patterns Of Plausible Inference
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Author : G. Polya
language : en
Publisher: Princeton University Press
Release Date : 1990-08-23
Mathematics And Plausible Reasoning Patterns Of Plausible Inference written by G. Polya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-23 with Mathematics categories.
"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.
Mathematics And Plausible Reasoning 2 Patterns Of Plausible Inference
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Author : George Pólya
language : en
Publisher:
Release Date : 1954
Mathematics And Plausible Reasoning 2 Patterns Of Plausible Inference written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Logic, Symbolic and mathematical categories.
Patterns Of Plausible Inference
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Author : George Pólya
language : en
Publisher:
Release Date : 1954
Patterns Of Plausible Inference written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with categories.
Mathematics And Plausible Reasoning Volume 2
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Author : George Polya
language : en
Publisher: Princeton University Press
Release Date : 2021-08-10
Mathematics And Plausible Reasoning Volume 2 written by George Polya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Mathematics categories.
A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. II, on Patterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics.
Patterns Of Plausible Inference
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Author : George Pólya
language : en
Publisher:
Release Date : 2009
Patterns Of Plausible Inference written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Patterns Of Plausible Inference Volume Ii Of Mathematics And Plausible Reasoning Second Edition
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Author : George Pólya
language : en
Publisher:
Release Date : 1968
Patterns Of Plausible Inference Volume Ii Of Mathematics And Plausible Reasoning Second Edition written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Handbook Of Cognitive Mathematics
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2022-10-31
Handbook Of Cognitive Mathematics written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.
Phenomenology And Phaneroscopy A Neglected Chapter In The History Of Ideas
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Author : Ahti-Veikko Pietarinen
language : en
Publisher: Springer Nature
Release Date : 2024-10-03
Phenomenology And Phaneroscopy A Neglected Chapter In The History Of Ideas written by Ahti-Veikko Pietarinen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-03 with Philosophy categories.
This book shows, for the first time in its full spectrum, the interconnectedness and topicality of two historically and philosophically significant developments of philosophical theories of the study of mind: that of phenomenology of Edmund Husserl and phaneroscopy of Charles S. Peirce. The chapters in this book put the two thinkers in a novel discourse while engaging in mutual scholarship on the large overlaps between the historically two largely independently developed but converging ideas of mind, cognition, consciousness, being, and experience. It is the second volume in a projected series of three, the first of which is Peirce and Husserl: Mutual Insights on Logic, Mathematics, and Cognition (2019). This book consists of three parts. Part I contains studies on the basic elements and the methodological themes of both “phenomenologies” vis-à-vis each other. Part II of the book is dedicated to metaphysical and existential themes. Finally, this book contains a hitherto unpublished selection of connected texts from Charles Peirce concerning phaneroscopy, the theory of definitions, and other related historical, philosophical, and religious themes from 1910, transcribed and introduced by one of the editors of the volume. This book is of interest to scholars in phenomenology, phaneroscopy, and the history of ideas.
Pure Inductive Logic
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Author : Jeffrey Paris
language : en
Publisher: Cambridge University Press
Release Date : 2015-04-02
Pure Inductive Logic written by Jeffrey Paris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-02 with Mathematics categories.
Pure inductive logic is the study of rational probability treated as a branch of mathematical logic. This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context. The exposition is structured around the traditional bases of rationality, such as avoiding Dutch Books, respecting symmetry and ignoring irrelevant information. The authors uncover further rationality concepts, both in the unary and in the newly emerging polyadic languages, such as conformity, spectrum exchangeability, similarity and language invariance. For logicians with a mathematical grounding, this book provides a complete self-contained course on the subject, taking the reader from the basics up to the most recent developments. It is also a useful reference for a wider audience from philosophy and computer science.