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Introduction | p. vii |
Preface | p. xv |
Bibliographical Note | p. xvii |
Mathematics | p. 1 |
Mathematical Logic, Axiomatics | p. 3 |
Relations and their Combination, Structure of Propositions | |
The Constructive Mathematical Definition | |
Logical Inference | |
The Axiomatic Method | |
Number and Continuum, the Infinite | p. 30 |
Rational Numbers and Complex Numbers | |
The Natural Numbers | |
The Irrational and the Infinitely Small | |
Set Theory | |
Intuitive Mathematics | |
Symbolic Mathematics | |
On the Character of Mathematical Cognition | |
Geometry | p. 67 |
Non-Euclidean, Analytic, Multi-dimensional, Affine, Projective Geometry; the Color Space | |
The Problem of Relativity | |
Congruence and Similarity. Left and Right | |
Riemann's Point of View. Topology | |
Natural Science | p. 93 |
Space and Time, the Transcendental External World | p. 95 |
The Structure of Space and Time in their Physical Effectiveness | |
Subject and Object (The Scientific Implications of Epistemology) | |
The Problem of Space | |
Methodology | p. 139 |
Measuring | |
Formation of Concepts | |
Formation of Theories | |
The Physical Picture of the World | p. 165 |
Matter | |
Causality (Law, Chance, Freedom) | |
Appendices | p. 219 |
The Structure of Mathematics | p. 219 |
Ars Combinatoria | p. 237 |
Quantum Physics and Causality | p. 253 |
Chemical Valence and the Hierarchy of Structures | p. 266 |
Physics and Biology | p. 276 |
The Main Features of the Physical World; Morphe and Evolution | p. 285 |
Index | p. 302 |
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