Category: Mathematics

The mystery of space

question of spatiality. The conclusions reached therein and the obvious inferences which should be drawn from the arguments presented flow inevitably not only from the evidences of mathematical data but of the common observations of life. And while we disclaim any intention of...

Chapters

1. Chapter X is the natural and logical sequence of the inquiry into the

question of spatiality. The conclusions reached therein and the obvious inferences which should be drawn from the arguments presented flow inevitably not only from the evidences...

2. CHAPTER I

On the Variability of Psychic Powers--The Discovery of the Fourth Dimension Marks a Distinct Stage in Psychogenesis--The non-Methodical Character of Discoveries--The Three Perio...

3. CHAPTER II

Egypt the Birthplace of Geometry--Precursors: Nasir-Eddin, Christoph Clavius, Saccheri, Lambert, La Grange, Kant--Influence of the _Mecanique Analytique_--The Parallel Postulate...

4. CHAPTER III

The Non-Euclidean Geometry Concerned with Conceptual Space Entirely--Outcome of Failures at Solving the Parallel-Postulate--The Basis of the Non-Euclidean Geometry--Space Curvat...

5. CHAPTER IV

Arbitrary Character of Dimensionality--Various Definitions of Dimension--Real Space and Geometric Space Differentiated--The Finity of Space--Difference Between the Purely Formal...

6. CHAPTER V

The Ideal and the Representative Nature of Objects in the Sensible World--The Fluxional, the Basis of Mental Differences--Natural Symbols and Artificial Symbols--Use of Analogie...

7. CHAPTER VI

Realism Is Determined by Awareness--Succession of Degrees of Realism--Sufficiency of Tridimensionality--The Insufficiency of Self-consistency as a Norm of Truth--General Forward...

8. CHAPTER VII

Symbology of Mathematical Knowledge--Manifestation and Non-manifestation Defined--The Pyknon and Pyknosis--The Kosmic Engenderment of Space--On the Consubstantiality of Spatiali...

9. CHAPTER VIII

The Thinker and the Ego--Increscent Automatism of the Intellect--The Egopsyche and the Omnipsyche--Kosmic Order or Geometrism--Life as Engendering Element--The Mystery of Space...

10. CHAPTER IX

Realism Is Psychological and Vital--The Impermanence of Facts--On the Tendency of the Intellect to Fragmentate--The Intellect and Logic--The Passage of Space--Kosmometer and Zoo...

11. CHAPTER X

The Spiritualization of Matter Is the End of Evolution--Sequence and Design in the Evolution of Human Faculties--The Upspringing Intuition--Evidences of Supernormal Powers of Pe...

12. CHAPTER I

On the Variability of Psychic Powers--The Discovery of the Fourth Dimension Marks a Distinct Stage in Psychogenesis--The Non-Methodical Character of Discoveries--The Three Perio...

13. CHAPTER II

Egypt the Birthplace of Geometry--Precursors: NASIR-EDDIN, CHRISTOPH CLAVIUS, SACCHERI, LAMBERT, LA GRANGE, KANT--Influence of the _Mecanique Analytique_--The Parallel-Postulate...

14. CHAPTER III

The Non-Euclidean Geometry Concerned with Conceptual Space Entirely--Outcome of Failures at Solving the Parallel-Postulate--The Basis of the Non-Euclidean Geometry--Space Curvat...

15. CHAPTER IV

Arbitrary Character of Dimensionality--Various Definitions of Dimension--Real Space and Geometric Space Differentiated--The Finity of Space--Difference Between the Purely Formal...

16. CHAPTER V

The Ideal and the Representative Nature of Objects in the Sensible World--The Psychic Fluxional the Basis of Mental Differences--Natural and Artificial Symbols--Use of Analogies...

17. CHAPTER VI

Realism Is Determined by Awareness--Succession of Degrees of Realism--Sufficiency of Tridimensionality--The Insufficiency of Self-Consistency as a Norm of Truth--General Forward...

18. CHAPTER VII

Symbology of Mathematical Knowledge--Manifestation and Non-manifestation Defined--The Pyknon and Pyknosis--The Kosmic Engenderment of Space--On the Consubstantiality of Spatiali...

19. CHAPTER VIII

The Thinker and the Ego--Increscent Automatism of the Intellect--The Egopsyche and the Omnipsyche--Kosmic Order or Geometrism--Life as Engendering Element--The Mystery of Space...

20. CHAPTER IX

Realism is Psychological and Vital--The Impermanence of Facts--On the Tendency of the Intellect to Fragmentate--The Intellect and Logic--The Passage of Space, the Kosmometer and...

21. CHAPTER X

The Spiritualization of Matter the End of Evolution--Sequence and Design in the Evolution of Human Faculties--The Upspringing Intuition--Evidences of Supernormal Powers of Perce...