This is Volume of IV eight on a series on the Philosophy of Logic and Mathematics. Originally published in 1930, this study contains sections on geometry in the sensible world and the logical problem of induction.
This is Volume of IV eight on a series on the Philosophy of Logic and Mathematics. Originally published in 1930, this study contains sections on geometry in the sensible world and the logical problem of induction.
Preface by Bertrand Russell, Introduction PARTI 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 II TERMS AND RELATIONS I. Spatio-Temporal Relations independent of the Distinction between Extension and Duration; the Notion of a Sense-Datum II. Temporal Relations and the Hypothesis of Durations Gy III. Global Resemblance IV. Qualitative Similarity and Local Similarity V. Relations of the Group of Local Similarity PART III SOME OBJECTIVE GEOMETRIES I. Succession and Global Resemblance (Data of a >iy 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 (VisualData) VII. Reflections on the Preceding Universe VIII. Elimination of Relations of Position IX. The Geometry of Perspectives
Preface by Bertrand Russell, Introduction PARTI 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 II TERMS AND RELATIONS I. Spatio-Temporal Relations independent of the Distinction between Extension and Duration; the Notion of a Sense-Datum II. Temporal Relations and the Hypothesis of Durations Gy III. Global Resemblance IV. Qualitative Similarity and Local Similarity V. Relations of the Group of Local Similarity PART III SOME OBJECTIVE GEOMETRIES I. Succession and Global Resemblance (Data of a >iy 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 (VisualData) VII. Reflections on the Preceding Universe VIII. Elimination of Relations of Position IX. The Geometry of Perspectives
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