Foundations of Geometry and Induction

✍ Scribed by Jean Nicod

• Publisher: Routledge
• Year: 2010
• Tongue: English
• Leaves: 291
• Series: International Library of Philosophy
• Edition: Reprint
• Category: Library

✦ Table of Contents

Dedication
Contents
Preface • Bertrand Russell
GEOMETRY IN THE PERCEIVED WORLD
Introduction
Part One: Geometric Order
I. Pure Geometry Is an Exercise in Logic
II. Formal Relationship of Various Systems of Geometry
III. Material Consequences of This Relationship
IV. Points and Volumes
Part Two: Terms and Relations
Introduction
I. Spatio-Temporal Relations Independent of the Distinction Between Extension and Duration; The Notion of a Sense-Datum
Temporal Relations and the Hypothesis of Durations (Durées)
III. Global Resemblance
IV. Qualitative Similarity and Local Similarity
V. Relations of the Group of Local Similarities
Part Three: Some Geometries of Sensation
Introduction
I. Succession and Global Resemblance (Data of any external sense)
II. Succession and Global Resemblance (Kinesthetic data and data of any external sense)
III. Introduction of Local Diversity in Sense Data
IV. Relations of Position (Visual Data)
V. Limitations of the Hypothesis of a Natural Spatial Symbolism
VI. Relations of Position, Simultaneity, Qualitative Similarity, Local Similarity (Visual Data)
VII. Reflections on the Preceding Universe
VIII. Elimination of the Relations of Position
IX. The Geometry of Perspectives
Summary and Conclusion
THE LOGICAL PROBLEM OF INDUCTION
Contents
Preface
Introduction
Preliminary Notions
Hypothesis Concerning the Two Elementary Relations of a Fact to a Law
Induction by Invalidation
Induction by Confirmation
Index to Geometry in the Sensible World
Index to Logical Problem of Induction