We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.
I remember researching a really complicated article and having trouble keeping track of all the different perspectives. I ended up drawing a diagram to help myself follow how the ideas were interrelated. I looked at the diagram when I had finished and thought, "Oh, maybe I don't need to write the article now - maybe I've done my job as a journalist. I can convey my understanding through the diagram."
The great and secret message of the experiential mystics the world over is that, with the eye of contemplation, Spirit can be seen. With the eye of contemplation, the great Within radiantly unfolds. And in all cases, the eye with which you see God is the same eye with which God sees you: the eye of contemplation.
Pure geometrical regularity gives a certain pleasure to men troubled by the obscurity of outside appearance. The geometrical line is something absolutely distinct from the messiness, the confusion, and the accidental details of existing things.
Getting up and drawing a Venn diagram is a great way to appear smart. It doesn't matter if your Venn diagram is wildly inaccurate, in fact, the more inaccurate the better.
Happiness, then, is co-extensive with contemplation, and the more people contemplate, the happier they are; not incidentally, but in virtue of their contemplation, because it is in itself precious. Thus happiness is a form of contemplation.
When Sulla died in the year 676, the oligarchy which he had restored ruled with absolute sway over the Roman state; but, as it had been established by force, it still needed force to maintain its ground against its numerous secret and open foes.
What distinguishes - in both senses of that word - contemplation is rather this: it is a knowing which is inspired by love. "Without love there would be no contemplation." Contemplation is a loving attainment of awareness. It is intuition of the beloved object.
I died from a mineral and plant became, Died from the plant, took a sentient frame; Died from the beast, donned a human dress - When by my dying did I ever grow less.
Protestant churches everywhere are gravitating toward union with the Roman Catholic Church. These religious movements are speeding the fulfillment of the prophecies of the resurrected Roman Empire. For 30 years I have been proclaiming this tremendous event over the air and in print.
...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
Charlemagne either died or was born or did something with the Holy Roman Empire in 800.
The overlap in the Venn diagram of things that men hate for women to wear and the things that I love to wear, it's almost a full overlap on the Venn diagram, which is unfortunate for me.
Europeans really provided many venues over there and hailed the jazz artists, and a lot of musicians went over there and stayed over there for a long time. A lot of them moved over there, lived over there, and died over there.
What makes me so certain that the natural human lifespan is far in excess of the actual one is this. Among all my autopsies (and I have performed over 1000), I have never seen a person who died of old age. In fact, I do not think that anyone has ever died of old age yet. We invariably die because one vital part has worn out too early in proportion to the rest of the body.
No one ever died from smoking marijuana, but millions of people have died by believing politicians.