Geometrical Objects

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Geometrical Objects
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Author : Anthony Gerbino
language : en
Publisher: Springer
Release Date : 2014-07-21
Geometrical Objects written by Anthony Gerbino and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Architecture categories.
This volume explores the mathematical character of architectural practice in diverse pre- and early modern contexts. It takes an explicitly interdisciplinary approach, which unites scholarship in early modern architecture with recent work in the history of science, in particular, on the role of practice in the “scientific revolution”. As a contribution to architectural history, the volume contextualizes design and construction in terms of contemporary mathematical knowledge, attendant forms of mathematical practice, and relevant social distinctions between the mathematical professions. As a contribution to the history of science, the volume presents a series of micro-historical studies that highlight issues of process, materiality, and knowledge production in specific, situated, practical contexts. Our approach sees the designer’s studio, the stone-yard, the drawing floor, and construction site not merely as places where the architectural object takes shape, but where mathematical knowledge itself is deployed, exchanged, and amplified among various participants in the building process.
What Is Geometry
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Author : Giandomenico Sica
language : en
Publisher: Polimetrica s.a.s.
Release Date : 2006
What Is Geometry written by Giandomenico Sica and has been published by Polimetrica s.a.s. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Word And Object New Edition
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Author : Willard Van Orman Quine
language : en
Publisher: MIT Press
Release Date : 2013-01-25
Word And Object New Edition written by Willard Van Orman Quine and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-25 with Philosophy categories.
A new edition of Quine's most important work. Willard Van Orman Quine begins this influential work by declaring, "Language is a social art. In acquiring it we have to depend entirely on intersubjectively available cues as to what to say and when." As Patricia Smith Churchland notes in her foreword to this new edition, with Word and Object Quine challenged the tradition of conceptual analysis as a way of advancing knowledge. The book signaled twentieth-century philosophy's turn away from metaphysics and what Churchland calls the "phony precision" of conceptual analysis. In the course of his discussion of meaning and the linguistic mechanisms of objective reference, Quine considers the indeterminacy of translation, brings to light the anomalies and conflicts implicit in our language's referential apparatus, clarifies semantic problems connected with the imputation of existence, and marshals reasons for admitting or repudiating each of various categories of supposed objects. In addition to Churchland's foreword, this edition offers a new preface by Quine's student and colleague Dagfinn Follesdal that describes the never-realized plans for a second edition of Word and Object, in which Quine would offer a more unified treatment of the public nature of meaning, modalities, and propositional attitudes.
Space Time And Geometry
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Author : Patrick Suppes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Space Time And Geometry written by Patrick Suppes 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 2013-03-09 with Social Science categories.
The articles in this volume have been stimulated in two different ways. More than two years ago the editor of Synthese, laakko Hintikka, an nounced a special issue devoted to space and time, and articles were solicited. Part of the reason for that announcement was also the second source of papers. Several years ago I gave a seminar on special relativity at Stanford, and the papers by Domotor, Harrison, Hudgin, Latzer and myself partially arose out of discussion in that seminar. All of the papers except those of Griinbaum, Fine, the second paper of Friedman, and the paper of Adams appeared in a special double issue of Synthese (24 (1972), Nos. 1-2). I am pleased to have been able to add the four additional papers mentioned in making the special issue a volume in the Synthese Library. Of these four additional articles, only the one by Fine has pre viously appeared in print (Synthese 22 (1971), 448-481); its relevance to the present volume is apparent. In preparing the papers for publication and in carrying out the various editonal chores of such a task, I am very much indebted to Mrs. Lillian O'Toole for her extensive assistance. INTRODUCTION The philosophy of space and time has been of permanent importance in philosophy, and most of the major historical figures in philosophy, such as Aristotle, Descartes and Kant, have had a good deal to say about the nature of space and time.
Articulations Between Tangible Space Graphical Space And Geometrical Space
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Author : Claire Guille-Biel Winder
language : en
Publisher: John Wiley & Sons
Release Date : 2023-07-26
Articulations Between Tangible Space Graphical Space And Geometrical Space written by Claire Guille-Biel Winder and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-26 with Education categories.
This book aims to present some of the latest research in the didactics of space and geometry, deepen some theoretical questions and open up new reflections for discourse. Its focus is as much on the approach of geometry itself and its link with the structuring of space as it is on the practices within the classroom, the dissemination of resources, the use of different artefacts and the training of teachers in this field. We study how spatial knowledge, graphical knowledge and geometric knowledge are taken into account and articulated in the teaching of space and geometry in compulsory schools, teaching resources (programs and textbooks) and current teacher training. We question how the semiotic dimension (language, gestures and signs) of geometric activity can be taken into account, and we identify the role of artefacts (digital or tangible) in the teaching and learning of geometry. This book brings together some fifteen contributions from Frenchspeaking researchers from different countries (France, Switzerland and Canada).
The Medieval Reception Of Book Zeta Of Aristotle S Metaphysics 2 Vol Set
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Author : Gabriele Galluzzo
language : en
Publisher: BRILL
Release Date : 2012-11-09
The Medieval Reception Of Book Zeta Of Aristotle S Metaphysics 2 Vol Set written by Gabriele Galluzzo and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-09 with History categories.
Focusing on the medieval reception of Book Zeta of Aristotle’s Metaphysics, Volume One of this work offers an unprecedented and philosophically oriented study of medieval ontology against the background of the current metaphysical debate on the nature of material objects. Volume Two makes available to scholars one of the culminating points in the medieval reception of Aristotle’s metaphysical thought by presenting the first critical edition of Book VII of Paul of Venice’s Commentary on Aristotle’s Metaphysics (1420-1424).
Oxford Studies In Ancient Philosophy Volume 61
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Author : Victor Caston
language : en
Publisher: Oxford University Press
Release Date : 2022-08-25
Oxford Studies In Ancient Philosophy Volume 61 written by Victor Caston and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-25 with History categories.
'Oxford Studies in Ancient Philosophy' provides, twice each year, a collection of the best current work in the field of ancient philosophy. Each volume features original essays that contribute to an understanding of a wide range of themes and problems in all periods of ancient Greek and Roman philosophy, from the beginnings to the threshold of the Middle Ages.
Handbook Of Digital Resources In Mathematics Education
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Author : Birgit Pepin
language : en
Publisher: Springer Nature
Release Date : 2024-06-21
Handbook Of Digital Resources In Mathematics Education written by Birgit Pepin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-21 with Education categories.
This handbook presents the state-of-the art scholarship on theoretical frames, mathematical content, learning environments, pedagogic practices, teacher professional learning, and policy issues related to the development and use of digital resources in mathematics education. With the advent of more and more open access digital resources, teachers choose from the web what they see fit for their classroom; students choose ‘in the moment’ what they need for their projects and learning paths. However, educators and students often find it difficult to choose from the abundance of materials on offer, as they are uncertain about their quality and beneficial use. It is clear that at a time of bouleversement of the teaching-learning processes, it is crucial to understand the quality and the (potentially) transformative aspects of digital resources. This book provides comprehensive analyses of and insights into the transformative aspects of digital resources.
Plato S Forms Mathematics And Astronomy
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Author : Theokritos Kouremenos
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-05-22
Plato S Forms Mathematics And Astronomy written by Theokritos Kouremenos and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-22 with Literary Criticism categories.
Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.
Motion And Genetic Definitions In The Sixteenth Century Euclidean Tradition
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Author : Angela Axworthy
language : en
Publisher: Springer Nature
Release Date : 2022-06-11
Motion And Genetic Definitions In The Sixteenth Century Euclidean Tradition written by Angela Axworthy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-11 with Mathematics categories.
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing importance of genetic definitions in sixteenth-century commentaries on Euclid’s Elements has been underlined, the place, uses and status of motion in this geometrical tradition has however never been thoroughly and comprehensively studied. This book therefore undertakes to fill a gap in the history of early modern geometry and philosophy of mathematics by investigating the different treatments of motion and genetic definitions by seven major sixteenth-century commentators on Euclid’s Elements, from Oronce Fine (1494–1555) to Christoph Clavius (1538–1612), including Jacques Peletier (1517–1582), John Dee (1527–1608/1609) and Henry Billingsley (d. 1606), among others. By investigating the ontological and epistemological conceptions underlying the introduction and uses of kinematic notions in their interpretation of Euclidean geometry, this study displays the richness of the conceptual framework, philosophical and mathematical, inherent to the sixteenth-century Euclidean tradition and shows how it contributed to a more generalised acceptance and promotion of kinematic approaches to geometry in the early modern period.