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The Resource Philosophy and geometry : theoretical and historical issues, by Lorenzo Magnani

Philosophy and geometry : theoretical and historical issues, by Lorenzo Magnani

Creator
Summary
"Since ancient times many philosophers have studied geometry. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this story of human knowledge, providing a new analysis of the ideas of many authors (like Plato, Proclus, Kant, and Poincare), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--BOOK JACKET
Language
eng
Work
Publication
Extent
xix, 249 pages
Contents
  • Numbers, points, geometrical diagrams
  • The ritual origin of geometry
  • Geometry: the Model of Knowledge
  • Sensibility
  • Imagination
  • Understanding
  • Pure apprehension and geometry
  • Empirical apprehension and empirical schematism
  • Geometrical schemata and constructions: models of philosophy
  • Space as the object of geometry
  • At the Origins of Geometrical Knowledge
  • Constructions, Logic, Categories
  • Space and logic
  • Intuition, construction, and the logic of singular terms
  • Pure and applied geometry
  • Why is geometry synthetic?
  • Categories and Axioms of Intuition
  • Transcendental categories and schemata
  • The Axioms of Intuition: why we can apply geometry to experience
  • The foundation of geometry and objectivity
  • Mathematical schematism
  • Conceptual space, mental spatial models, latent geometry
  • The [Phi alpha nu tau alpha sigma iota alpha] in Ancient Geometrical Knowledge
  • Geometry, drawing, and writing
  • Mathematical objects
  • Geometrical reasoning
  • The science that studies shapes: geometry
  • "History of geometry" and "elements" of geometry
  • Geometry and Convention
  • Crude facts, relations, conventions
  • Pure and applied geometry
  • Sensible, geometric, and physical space
  • Conceptual space and geometrical shapes
  • Geometrical intuition
  • Geometrical apriorism and empiricism
  • The genesis of geometry
  • The interchangeability of geometries
  • Mental spatial models and spatial descriptions
  • Latent geometry
  • Figures, symbols, and the Greek origins of geometry
  • Sefirot
  • Yantra
Isbn
9780792369332
Instance
Label
Philosophy and geometry : theoretical and historical issues
Title
Philosophy and geometry
Title remainder
theoretical and historical issues
Statement of responsibility
by Lorenzo Magnani
Creator
Subject
Language
eng
Summary
"Since ancient times many philosophers have studied geometry. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this story of human knowledge, providing a new analysis of the ideas of many authors (like Plato, Proclus, Kant, and Poincare), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Magnani, Lorenzo
Dewey number
516/.001
Illustrations
illustrations
Index
index present
LC call number
QA447
LC item number
.M34 2001
Literary form
non fiction
Nature of contents
bibliography
Series statement
Western Ontario series in philosophy of science
Series volume
v. 66
http://library.link/vocab/subjectName
Geometry
Label
Philosophy and geometry : theoretical and historical issues, by Lorenzo Magnani
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 211-230) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Numbers, points, geometrical diagrams
  • The ritual origin of geometry
  • Geometry: the Model of Knowledge
  • Sensibility
  • Imagination
  • Understanding
  • Pure apprehension and geometry
  • Empirical apprehension and empirical schematism
  • Geometrical schemata and constructions: models of philosophy
  • Space as the object of geometry
  • At the Origins of Geometrical Knowledge
  • Constructions, Logic, Categories
  • Space and logic
  • Intuition, construction, and the logic of singular terms
  • Pure and applied geometry
  • Why is geometry synthetic?
  • Categories and Axioms of Intuition
  • Transcendental categories and schemata
  • The Axioms of Intuition: why we can apply geometry to experience
  • The foundation of geometry and objectivity
  • Mathematical schematism
  • Conceptual space, mental spatial models, latent geometry
  • The [Phi alpha nu tau alpha sigma iota alpha] in Ancient Geometrical Knowledge
  • Geometry, drawing, and writing
  • Mathematical objects
  • Geometrical reasoning
  • The science that studies shapes: geometry
  • "History of geometry" and "elements" of geometry
  • Geometry and Convention
  • Crude facts, relations, conventions
  • Pure and applied geometry
  • Sensible, geometric, and physical space
  • Conceptual space and geometrical shapes
  • Geometrical intuition
  • Geometrical apriorism and empiricism
  • The genesis of geometry
  • The interchangeability of geometries
  • Mental spatial models and spatial descriptions
  • Latent geometry
  • Figures, symbols, and the Greek origins of geometry
  • Sefirot
  • Yantra
Control code
46401610
Dimensions
25 cm
Extent
xix, 249 pages
Isbn
9780792369332
Isbn Type
(alk. paper)
Lccn
2001022473
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Philosophy and geometry : theoretical and historical issues, by Lorenzo Magnani
Publication
Bibliography note
Includes bibliographical references (pages 211-230) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Numbers, points, geometrical diagrams
  • The ritual origin of geometry
  • Geometry: the Model of Knowledge
  • Sensibility
  • Imagination
  • Understanding
  • Pure apprehension and geometry
  • Empirical apprehension and empirical schematism
  • Geometrical schemata and constructions: models of philosophy
  • Space as the object of geometry
  • At the Origins of Geometrical Knowledge
  • Constructions, Logic, Categories
  • Space and logic
  • Intuition, construction, and the logic of singular terms
  • Pure and applied geometry
  • Why is geometry synthetic?
  • Categories and Axioms of Intuition
  • Transcendental categories and schemata
  • The Axioms of Intuition: why we can apply geometry to experience
  • The foundation of geometry and objectivity
  • Mathematical schematism
  • Conceptual space, mental spatial models, latent geometry
  • The [Phi alpha nu tau alpha sigma iota alpha] in Ancient Geometrical Knowledge
  • Geometry, drawing, and writing
  • Mathematical objects
  • Geometrical reasoning
  • The science that studies shapes: geometry
  • "History of geometry" and "elements" of geometry
  • Geometry and Convention
  • Crude facts, relations, conventions
  • Pure and applied geometry
  • Sensible, geometric, and physical space
  • Conceptual space and geometrical shapes
  • Geometrical intuition
  • Geometrical apriorism and empiricism
  • The genesis of geometry
  • The interchangeability of geometries
  • Mental spatial models and spatial descriptions
  • Latent geometry
  • Figures, symbols, and the Greek origins of geometry
  • Sefirot
  • Yantra
Control code
46401610
Dimensions
25 cm
Extent
xix, 249 pages
Isbn
9780792369332
Isbn Type
(alk. paper)
Lccn
2001022473
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Subject

Member of

Library Locations

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      38.944377 -92.326537

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