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It was a long way down. Before she had gone very far the curious dizziness she had known before came over her again, a dizziness not entirely induced by the spirals she whirled around, but a deeper, atomic unsteadiness as if not only she but also the substances around her were shifting. There was something queer about the angles of those curves. She was no scholar in geometry or aught else, but she felt intuitively that the bend and slant of the way she went were somehow outside any other angles or bends she had ever known. They led into the unknown and the dark, but it seemed to her obscurely that they led into deeper darkness and mystery than the merely physical, as if, though she could not put it clearly even into thoughts, the peculiar and exact lines of the tunnel had been carefully angled to lead through poly-dimensional space as well as through the underground — perhaps through time, too.

 

C. L. Moore

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Though we cannot SEE angles, we can INFER them, and this with great precision. Our sense of touch, stimulated by necessity, and developed by long training, enables us to distinguish angles far more accurately than your sense of sight, when unaided by a rule or measure of angles.

 

Edwin Abbot

 

Whereas the conception of space and time as a four-dimensional manifold has been very fruitful for mathematical physicists, its effect in the field of epistemology has been only to confuse the issue. Calling time the fourth dimension gives it an air of mystery. One might think that time can now be conceived as a kind of space and try in vain to add visually a fourth dimension to the three dimensions of space. It is essential to guard against such a misunderstanding of mathematical concepts. If we add time to space as a fourth dimension it does not lose any of its peculiar character as time. ...Musical tones can be ordered according to volume and pitch and are thus brought into a two dimensional manifold. Similarly colors can be determined by the three basic colors red, green and blue... Such an ordering does not change either tones or colors; it is merely a mathematical expression of something that we have known and visualized for a long time. Our schematization of time as a fourth dimension therefore does not imply any changes in the conception of time. ...the space of visualization is only one of many possible forms that add content to the conceptual frame. We would therefore not call the representation of the tone manifold by a plane the visual representation of the two dimensional tone manifold.

 

Hans Reichenbach

 

Anxiety may be compared with dizziness. He whose eye happens to look down into the yawning abyss becomes dizzy. But what is the reason for this? It is just as much in his own eye as in the abyss, for suppose he had not looked down. Hence, anxiety is the dizziness of freedom, which emerges when the spirit wants to posit the synthesis and freedom looks down into its own possibility, laying hold of finiteness to support itself. Freedom succumbs to dizziness. Further than this, psychology cannot and will not go. In that very moment everything is changed, and freedom, when it again rises, sees that it is guilty. Between these two moments lies the leap, which no science has explained and which no science can explain. He who becomes guilty in anxiety becomes as ambiguously guilty as it is possible to become. Vigilius Haufniensis, The Concept of Anxiety p. 61

 

Soren Aabye Kierkegaard

 

But to go deeper, beneath what people said (and these judgements, how superficial, how fragmentary they are!) in her own mind now, what did it mean to her, this thing she called life? Oh, it was very queer. Here was So-and-so in South Kensington; some one up in Bayswater; and somebody else, say, in Mayfair. And she felt quiet continuously a sense of their existence and she felt what a waste; and she felt what a pity; and she felt if only they could be brought together; so she did it. And it was an offering; to combine, to create; but to whom?

 

Virginia Woolf

 

Oh, God, I know no joy as great as a moment of rushing into a new love, no ecstasy like that of a new love. I swim in the sky; I float; my body is full of flowers, flowers with fingers giving me acute, acute caresses, sparks, jewels, quivers of joy, dizziness, such dizziness. Music inside of one, drunkenness. Only closing the eyes and remembering, and the hunger, the hunger for more, more, the great hunger, the voracious hunger, and thirst.

 

Anais Nin