Introdu O Filosofia Matem Tica
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Introducao A Filosofia Da Matematica
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Author : Bertrand Russell
language : pt-BR
Publisher:
Release Date : 1963
Introducao A Filosofia Da Matematica written by Bertrand Russell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Introdu O Filosofia Matem Tica
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Author : Bertrand Russell
language : pt-BR
Publisher: Jorge Zahar Editor Ltda
Release Date : 2007
Introdu O Filosofia Matem Tica written by Bertrand Russell and has been published by Jorge Zahar Editor Ltda this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Filosofia Da Matem Tica
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Author : Stewart Shapiro
language : pt-BR
Publisher: Leya
Release Date : 2015-07-01
Filosofia Da Matem Tica written by Stewart Shapiro and has been published by Leya this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Law categories.
Este é um livro de filosofia, sobre matemática. Há, primeiro, questões de metafísica: de que trata a matemática? Tem um conteúdo? Qual é esse conteúdo? O que são números, conjuntos, pontos, linhas, funções, e por aí adiante? E depois há questões semânticas: o que significam as proposições matemáticas? Qual a natureza da verdade matemática? E de epistemologia: como se conhece a matemática? Qual a sua metodologia? Está envolvida a observação, ou trata-se de um exercício puramente mental? Como são adjudicadas as disputas entre matemáticos? O que é uma demonstração? As demonstrações são absolutamente certas, imunes à dúvida racional? O que é a lógica da matemática? Há verdades matemáticas incognoscíveis? O filósofo da matemática tem de dizer algo sobre a própria matemática, algo sobre o matemático humano, e algo sobre o mundo onde a matemática é aplicada. Uma tarefa de vulto.
O Formal O Social E O Subjetivo
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Author : Michael Otte
language : pt-BR
Publisher: UNESP
Release Date : 1993
O Formal O Social E O Subjetivo written by Michael Otte and has been published by UNESP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Education categories.
Michael Otte é professor e diretor do Institut der Didaktik da Universidade de Bielefeld, da Alemanha, e tem colaborado no Programa de Educação Matemática da UNESP de Rio Claro. Trabalhando com as categorias de formal, social e subjetivo, constrói uma teoria inovadora da educação matemática que se traduz praticamente em uma didática dessa disciplina, que, por sua vez, não pode ser separada da crítica da ciência.
The Best Writing On Mathematics 2010
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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2021-09-14
The Best Writing On Mathematics 2010 written by Mircea Pitici 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 2021-09-14 with Mathematics categories.
The year’s most memorable writing on mathematics This anthology brings together the year's finest writing on mathematics from around the world. Featuring promising new voices alongside some of the foremost names in mathematics, The Best Writing on Mathematics makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here readers will discover why Freeman Dyson thinks some mathematicians are birds while others are frogs; why Keith Devlin believes there's more to mathematics than proof; what Nick Paumgarten has to say about the timing patterns of New York City's traffic lights (and why jaywalking is the most mathematically efficient way to cross Sixty-sixth Street); what Samuel Arbesman can tell us about the epidemiology of the undead in zombie flicks; and much, much more. In addition to presenting the year's most memorable writing on mathematics, this must-have anthology also includes a foreword by esteemed mathematician William Thurston and an informative introduction by Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it's headed.
18 Unconventional Essays On The Nature Of Mathematics
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Author : Reuben Hersh
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-16
18 Unconventional Essays On The Nature Of Mathematics written by Reuben Hersh 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 2006-01-16 with Mathematics categories.
Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines
From Combinatorics To Philosophy
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Author : Ernesto Damiani
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24
From Combinatorics To Philosophy written by Ernesto Damiani 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 2009-07-24 with Computers categories.
From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota’s legacy connects European and Italian research communities to the USA by providing inspiration to several generations of researchers in combinatorics, philosophy and computer science. From Combinatorics to Philosophy: The Legacy of G. -C. Rota is of valuable interest to research institutions and university libraries worldwide. This book is also designed for advanced-level students in mathematics, computer science, and philosophy.
From A Heuristic Point Of View
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Author : Cesare Cozzo
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2014-07-03
From A Heuristic Point Of View written by Cesare Cozzo and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Science categories.
How do we get new knowledge? Following the maverick tradition in the philosophy of science, Carlo Cellucci gradually came to the conclusion that logic can only fulfill its role in mathematics, science and philosophy if it helps us to answer this question. He argues that mathematical logic is inadequate and that we need a new logic, framed in a naturalistic conception of knowledge and philosophy – the heuristic conception. This path from logic to a naturalistic conception of knowledge and philosophy explains the title, From a Heuristic Point of View, which recalls the celebrated collection of essays, From a Logical Point of View, by Willard Van Orman Quine, the father of modern naturalized epistemology. The word ‘heuristic’ points to Cellucci’s favorite theme and the main difference between him and Quine: the emphasis on discovery and building a ‘logic’ for generating new knowledge. This book is a collection of essays from leading figures in this field who discuss, criticize, or expand on the main topics in Cellucci’s work, dealing with some of the most challenging questions in logic, science and philosophy.
Handbook Of Abductive Cognition
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Author : Lorenzo Magnani
language : en
Publisher: Springer Nature
Release Date : 2023-03-31
Handbook Of Abductive Cognition written by Lorenzo Magnani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Technology & Engineering categories.
This Handbook offers the first comprehensive reference guide to the interdisciplinary field of abductive cognition, providing readers with extensive information on the process of reasoning to hypotheses in humans, animals, and in computational machines. It highlights the role of abduction in both theory practice: in generating and testing hypotheses and explanatory functions for various purposes and as an educational device. It merges logical, cognitive, epistemological and philosophical perspectives with more practical needs relating to the application of abduction across various disciplines and practices, such as in diagnosis, creative reasoning, scientific discovery, diagrammatic and ignorance-based cognition, and adversarial strategies. It also discusses the inferential role of models in hypothetical reasoning, abduction and creativity, including the process of development, implementation and manipulation for different scientific and technological purposes. Written by a group of internationally renowned experts in philosophy, logic, general epistemology, mathematics, cognitive, and computer science, as well as life sciences, engineering, architecture, and economics, the Handbook of Abductive Cognition offers a unique reference guide for readers approaching the process of reasoning to hypotheses from different perspectives and for various theoretical and practical purposes. Numerous diagrams, schemes and other visual representations are included to promote a better understanding of the relevant concepts and to make concepts highly accessible to an audience of scholars and students with different scientific backgrounds.
Rethinking Logic Logic In Relation To Mathematics Evolution And Method
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Author : Carlo Cellucci
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-09
Rethinking Logic Logic In Relation To Mathematics Evolution And Method written by Carlo Cellucci 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 2013-10-09 with Philosophy categories.
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