Category: Mathematics
In 1823 Bolyai declared with regard to Euclid's so-called axiom of parallels, "I will draw two lines through a given point, both of which will be parallel to a given line." The drawing of these lines led to the concept of the curvature of space, and this to the idea of _higher...
In Eastern hypnotism the gross vibrations of the physical vehicle are inhibited by the will of the operator, putting the body of the subject to sleep, whereat the consciousness,...
3. Chapter 3The physical evidence that our space is thus curved in higher space, some have considered astronomy to furnish in what is called the "negative parallax" of certain distant stars...
4. Chapter 4The inferences which we may draw from our hypothetical experiment are plain. The settings of the two chronometers would be defective, they would not show the same time, but each...
5. Chapter 5However preposterous may appear to us this notion that the waking state, in which we feel ourselves most potent and alive, is really one of inhibition--that the world is only a...
7. Chapter 7Briefly, the view taken is that the "Form of Good" perceived by the mind is the source of everything that is perceived by the senses. This is equivalent to saying that the objec...
2. Chapter 2Proceed still further. Behind such organic change--assumed to be four-dimensional--there is the determination of some _will-to-live_, which manifests itself to consciousness as...
1. Chapter 1In 1823 Bolyai declared with regard to Euclid's so-called axiom of parallels, "I will draw two lines through a given point, both of which will be parallel to a given line." The...
8. Chapter 8For the interest which we take in genius has its root in the interest which we take in ourselves. Genius but utters experiences common to us all, records perceptions of a world-...