IX. THE RELATION OF THOUGHTS TO THINGS – THE FORMATION OF CONCEPTS – METAPHYSICAL THEORIES

Chapters in this book

1. Frontmatter i
2. CONTENTS v
3. INTRODUCTION vii
4. PREFACE 3
5. INTRODUCTION AND PREFACE TO THE SECOND EDITION 9
6. I. INTRODUCTORY 49
7. II. FIRST PRINCIPLES OF THE MECHANICAL THEORY OF THE UNIVERSE 58
8. III. THE PROPOSITION THAT THE ELEMENTARY UNITS OF MASS ARE EQUAL 62
9. IV. THE PROPOSITION THAT THE ELEMENTARY UNITS OF MASS ARE ABSOLUTELY HARD AND INELASTIC 71
10. V. THE PROPOSITION THAT THE ELEMENTARY UNITS OF MASS ARE ABSOLUTELY INERT 82
11. VI. THE PROPOSITION THAT ALL POTENTIAL ENERGY IS IN REALITY KINETIC – EVOLUTION OF THE DOCTRINE OF THE CONSERVATION OF ENERGY 95
12. VII. THE THEORY OF THE ATOMIC CONSTITUTION OF MATTER 111
13. VIII. THE KINETIC THEORY OF GASES – CONDITIONS OF THE VALIDITY OF SCIENTIFIC HYPOTHESES 129
14. IX. THE RELATION OF THOUGHTS TO THINGS – THE FORMATION OF CONCEPTS – METAPHYSICAL THEORIES 152
15. Χ. CHARACTER AND ORIGIN OF THE MECHANICAL THEORY – ITS EXEMPLIFICATION OF THE FIRST AND SECOND RADICAL ERRORS OF METAPHYSICS 169
16. XI. CHARACTER AND ORIGIN OF THE MECHANICAL THEORY (CONTINUED) – ITS EXEMPLIFICATION OF THE THIRD RADICAL ERROR OF METAPHYSICS 189
17. XII. CHARACTER AND ORIGIN OF THE MECHANICAL THEORY (CONTINUED) – ITS EXEMPLIFICATION OF THE FOURTH RADICAL ERROR OF METAPHYSICS 200
18. XIII. THE THEORY OF THE ABSOLUTE FINITUDE OF THE WORLD AND OF SPACE – THE ASSUMPTION OF AN ABSOLUTE MAXIMUM OF MATERIAL EXISTENCE AS A NECESSARY COMPLEMENT TO THE ASSUMPTION OF THE ATOM AS ITS ABSOLUTE MINIMUM – ONTOLOGY IN MATHEMATICS – THE REIFICATION OF SPACE – MODERN TRANSCENDENTAL GEOMETRY – NON-HOMALOIDAL (SPHERICAL AND PSEUDO–SPHERICAL) SPACE 222
19. XIV. METAGEOMETRICAL SPACE IN THE LIGHT OF MODERN ANALYSIS – RIEMANN’S ESSAY 259
20. XV. COSMOLOGIC AL AND COSMOGENETIC SPECULATIONS – THE NEBULAR HYPOTHESIS 280
21. XVI. CONCLUSION 301
22. INDEX OF NAMES 315
23. Backmatter 327