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Author: Maria Teresa Catena
Publisher: Springer
ISBN: 3319669117
Category : Philosophy
Languages : en
Pages : 324
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Book Description
This book focuses on various concepts of space and their historical evolution. In particular, it examines the variations that have modified the notions of place, orientation, distance, vacuum, limit, bound and boundary, form and figure, continuity and contingence, in order to show how spatial characteristics are decisive in a range of contexts: in the determination and comprehension of exteriority; in individuation and identification; in defining the meaning of nature and of the natural sciences; in aesthetical formations and representations; in determining the relationship between experience, behavior and environment; and in the construction of mental and social subjectivity. Accordingly, the book offers a comprehensive review of concepts of space as formulated by Kant, Husserl, Heidegger, Einstein, Heisenberg, Penrose and Thorne, subsequently comparing them to notions developed more recently, in the current age, which Foucault dubbed the age of space. The book is divided into four distinct yet deeply interconnected parts, which explore the space of life, the space of experience, the space of science and the space of the arts.
Author: Maria Teresa Catena
Publisher: Springer
ISBN: 3319669117
Category : Philosophy
Languages : en
Pages : 324
Get Book Here
Book Description
This book focuses on various concepts of space and their historical evolution. In particular, it examines the variations that have modified the notions of place, orientation, distance, vacuum, limit, bound and boundary, form and figure, continuity and contingence, in order to show how spatial characteristics are decisive in a range of contexts: in the determination and comprehension of exteriority; in individuation and identification; in defining the meaning of nature and of the natural sciences; in aesthetical formations and representations; in determining the relationship between experience, behavior and environment; and in the construction of mental and social subjectivity. Accordingly, the book offers a comprehensive review of concepts of space as formulated by Kant, Husserl, Heidegger, Einstein, Heisenberg, Penrose and Thorne, subsequently comparing them to notions developed more recently, in the current age, which Foucault dubbed the age of space. The book is divided into four distinct yet deeply interconnected parts, which explore the space of life, the space of experience, the space of science and the space of the arts.
Author: Vincenzo De Risi
Publisher: Birkhäuser
ISBN: 3319121022
Category : Mathematics
Languages : en
Pages : 320
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Book Description
This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).
Author: Rudolf Steiner
Publisher: SteinerBooks
ISBN: 1621482650
Category : Body, Mind & Spirit
Languages : en
Pages : 176
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Book Description
6 lectures at The Hague, April 7-12, 1922; A written report by Rudolf Steiner on the course (CW 82) "There is no contradiction, if you look into the matter correctly, between destiny and freedom. However, in order to be able to present the concept of destiny to the world later on, it was first necessary that the concept of freedom be presented in the book The Philosophy of Freedom." -- Rudolf Steiner (lect. 6) Published here for the first time in English, these six public lectures are among Rudolf Steiner's most inspired --and inspiring --explorations of Anthroposophy as a true science of the spirit. Our age provides abundant explanations of the universe, its nature and evolution. But underlying most scientific modalities is a passive engagement with self and world, a taking-for-granted of the faculty of thinking, and, as a result, an indifferent arranging of phenomena through logical inference. But the question remains: What is thinking? A product of chemical processes in the brain, or a spiritual activity through which we become participants in a spiritual cosmos? This is Steiner's starting point in all his work. He aims to cast off the unnecessary limits imposed on knowledge by a science that fails to examine its most fundamental epistemological premises. The lectures here are a remarkable contribution to this lifelong project --a compelling, eloquent, insightful study and affirmation of our very humanness. Speaking to a youthful academic audience, Steiner does not confine himself to the arbitrary delineations of codified academic disciplines; on the contrary, he breaks down barriers, builds bridges, envisions a future academy in which the paths of knowledge are broadened through a genuine science of initiation to encompass our role as members and, ultimately, co-creators of the physical, soul, and spiritual universe. "Those who seek to prove something show, through the very fact that they seek to prove it, that for them what must be proved is not readily perceptible. We actually seek to prove something whenever we have no direct perception of it.... When in older, instinctive cognition people had a perception of what they called the divine being, they did not need proofs. Historically, the proofs for the existence of God began only when the perception was lost. Evidence is required wherever there is no perception." -- Rudolf Steiner (lect. 6) This volume is a translation from German of Damit der Mensch ganz Mensch werde. Die Bedeutung der Anthroposophieim Geistesleben der Gegenwart (GA 82), 2nd ed., Rudolf Steiner Verlag, Dornach, Switzerland, 1994. Cover image: The Golden Cell by Odilon Redon, 1892. Oil and colored chalks with gold, 30.1 cm x 24.7 cm. The British Museum, London.
Author: Hans Freudenthal
Publisher: Springer Science & Business Media
ISBN: 9401029032
Category : Education
Languages : en
Pages : 691
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Book Description
Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book.
Author: Richard T. W. Arthur
Publisher: Oxford University Press
ISBN: 0192849077
Category : Philosophy
Languages : en
Pages : 421
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Book Description
In this book, Arthur gives fresh interpretations of Gottfried Leibniz's theories of time, space, and the relativity of motion, based on a thorough examination of Leibniz's manuscripts as well as his published papers. These are analysed in historical context, but also with an eye to their contemporary relevance. Leibniz's views on relativity have been extremely influential, first on Mach, and then on Einstein, while his novel approach to geometry in his analysis situs inspired many later developments in geometry. Arthur expounds the latter in some detail, explaining its relationship to Leibniz's metaphysics of space and the grounding of motion, and defending Leibniz's views on the relativity of motion against charges of inconsistency. The brilliance of his work on time, though, has not been so well appreciated, and Arthur attempts to remedy this through a detailed discussion of Leibniz's relational theory of time, showing how it underpins his theory of possible worlds, his complex account of contingency, and his highly original treatment of the continuity of time, providing formal treatments in an appendix. In other appendices, Arthur provides translations of previously untranslated writings by Leibniz on analysis situs and on Copernicanism, as well as an essay on Leibniz's philosophy of relations. In his introductory chapter he explains how the framework for the book is provided by the interpretation of Leibniz's metaphysics he defended in his earlier Monads, Composition, and Force (OUP 2018, winner of the 2019 annual JHP Book Prize for best book in the history of philosophy published in 2018).
Author: Heike Jöns
Publisher: Springer
ISBN: 3319446541
Category : Social Science
Languages : en
Pages : 305
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Book Description
This collection of essays examines how spatial mobilities of people and practices, technologies and objects, knowledge and ideas have shaped the production, circulation, and transfer of knowledge in different historical and geographical contexts. Targeting an interdisciplinary audience, Mobilities of Knowledge combines detailed empirical analyses with innovative conceptual approaches. The first part scrutinizes knowledge circulation, transfer, and adaption, focussing on the interpersonal communication process, early techniques of papermaking, a geographical text, indigenous knowledge in exploration, the genealogy of spatial analysis, and different disciplinary knowledges about the formation of cities, states, and agriculture. The second part analyses the interplay of mediators, networks, and learning by studying academic careers, travels, and collaborations within the British Empire, public internationalism in Geneva, the global transfer of corporate knowledge through expatriation, graduate mobility from the global south to the global north, and the international mobility of degree programs in higher education.This book is open access under a CC BY 4.0 license.
Author: Patricio Herbst
Publisher: Springer
ISBN: 331977476X
Category : Education
Languages : en
Pages : 383
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Book Description
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.
Author: Donald F. Theall
Publisher: McGill-Queen's Press - MQUP
ISBN: 0773593977
Category : Social Science
Languages : en
Pages : 266
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Book Description
Author: Matthew H. Edney
Publisher: University of Chicago Press
ISBN: 022660568X
Category : Technology & Engineering
Languages : en
Pages : 324
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Book Description
Over the past four decades, the volumes published in the landmark History of Cartography series have both chronicled and encouraged scholarship about maps and mapping practices across time and space. As the current director of the project that has produced these volumes, Matthew H. Edney has a unique vantage point for understanding what “cartography” has come to mean and include. In this book Edney disavows the term cartography, rejecting the notion that maps represent an undifferentiated category of objects for study. Rather than treating maps as a single, unified group, he argues, scholars need to take a processual approach that examines specific types of maps—sea charts versus thematic maps, for example—in the context of the unique circumstances of their production, circulation, and consumption. To illuminate this bold argument, Edney chronicles precisely how the ideal of cartography that has developed in the West since 1800 has gone astray. By exposing the flaws in this ideal, his book challenges everyone who studies maps and mapping practices to reexamine their approach to the topic. The study of cartography will never be the same.
Author: Andrew Janiak
Publisher: John Wiley & Sons
ISBN: 1118326725
Category : Science
Languages : en
Pages : 216
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Book Description
Newton is an evocative intellectual history of the life and ideas of Isaac Newton the natural philosopher, covering his influential thoughts about philosophical problems, our knowledge of nature, and even the nature of the divine. Offers a comprehensive and highly accessible introduction to the life and ideas of Isaac Newton, emphasizing his influential contributions to the field of philosophy Covers the principal philosophical topics that captivated Newton’s mind, from our knowledge of nature to the nature of the divine Includes the most recent and innovative research regarding Newton’s views on theology and philosophy Emphasizes the philosophical importance of Newton’s work to the history of philosophy and his engagement with the ideas of both historic and contemporary figures such as Galileo and Descartes, Leibniz and Locke
