Parallelism Quotes
Some authors state that the last stage in this chain of measurements involves "consciousness," or the "intellectual inner life" of the observer, by virtue of the "principle of psycho-physical parallelism." Other authors introduce a wave function for the entire universe. In this book, I shall refrain from using concepts that I do not understand.
Asher Peres
We are frequently faced with the necessity of looking for the picture required for the visualization of an object, not in the perception of this particular object, but in a different perceptual image. ...we can assert the discrepancy between the perceived picture and the objective state. This discrepancy... proves absolutely nothing against the fact that all visualizations are merely sense qualities of the perceptual space. ...If the parallelism is ...to be visualized, we must supplement our assertion by the description of certain qualities with which we are familiar from perceptual space.
Hans Reichenbach
The process which the Kabbalists described as the emanation of divine energy and divine light was also characterized as the unfolding of the divine language. This gives rise to a deep-seated parallelism between the two most important kinds of symbolism used by the Kabbalists to communicate their ideas. They speak of attributes and of spheres of light; but in the same context they speak also of divine names and the letters of which they are composed. From the very beginnings of Kabbalistic doctrine these two manners of speaking appear side by side.
Gershom Scholem
Parallelism' can be pointed out in the different parts of a single object, looked at alone; it is even more obvious when one puts several objects of the same kind next to each other. Now if we compare our own lives and customs with these appearances in nature, we shall be astonished to find the same principle repeated... When an important event is being celebrated, the people face and move in the same direction. These are parallels following each other..
Ferdinand Hodler
If an object is pleasant, repetition will increase its charm; if it expresses sorrow or pain, then repetition will intensify its melancholy. On the contrary, any subject that is peculiar or unpleasant will be made unbearable by repetition. So repetition always acts to increase intensity. Since the time that this principle of harmony was employed by the primitives, it has been visually lost, and so forgotten. One strove for the charm of variety, and so achieved the destruction of unity... Variety is just as much an element of beauty as parallelism, provided that one does not exaggerate it. For the structure of our eye itself demands that we introduce some variety into any absolutely unified object... To be simple is not always as easy as it seems... The work of art will bring to light a new order inherent in things, and this will be: the idea of unity.
Ferdinand Hodler
I call 'parallelism' any kind of repetition. When I feel most strongly the charm of things in nature, there is always an impression of unity. If my way leads into a pine wood where the trees reach high into heaven, I see the trunks that stand to the right and to the left of me as countless columns. One and the same vertical line, repeated many times, surrounds me. Now, if these trunks should be clearly outlined on an unbroken dark background, if they should stand out against the deep blue of the sky, the reason for this impression of unity is parallelism.
Ferdinand Hodler
When I enter a forest of tall fir trees, reaching toward the sky, I am surrounded, right and left, by their trunks, which seem to me like innumerable columns. Around me, one and the same vertical line is repeated endlessly. Th the extend that these tree trunk are clearly distinguished from a murky background, to the extent that they are well delineated from the blue sky, I am impressed with a feeling of unity, of parallelism.
Ferdinand Hodler
It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or parataxy has many interesting properties. A group-theoretical reason for the most important of these properties is the fact that the universal covering group of the proper orthogonal group in four variables is the direct product of the universal covering groups of two proper orthogonal groups in three variables. This last-mentioned property has no analogue for orthogonal groups in n (>4) variables. On the other hand, a knowledge of three-dimensional elliptic or spherical geometry is useful for the study of orientable Riemannian manifols of four dimensions, because their tangent spaces possess a geometry of this kind.
Shiing-Shen Chern
In 1917 Levi-Civita discovered his celebrated parallelism which is an infinitesimal transportation of tangent vectors preserving the scalar product and is the first example of a connection. The salient fact about the Levi-Civita parallelism is the result that it is the parallelism, and not the Riemannian metric, which accounts for most of the properties concerning curvature.
Shiing-Shen Chern
To draw a parallelism between the arts and the sciences is always dangerous, for the relationships between either and the society in which they flourish is quite different. Yet the sciences too in their way reflected the dual revolution, partly because it made specific new demands on them, partly because it opened new possibilities for them and faced them with new problems, partly because its very existence suggested new patterns of thought.
Eric Hobsbawm
Periods of history when values undergo a fundamental shift are certainly not unprecedented. This happened in the Hellenistic period, when from the ruins of the classical world the Middle Ages were gradually born. It happened during the Renaissance, which opened the way to the modern era. The distinguishing features of such transitional periods are a mixing and blending of cultures and a plurality or parallelism of intellectual and spiritual worlds. These are periods when all consistent value systems collapse, when cultures distant in time and space are discovered or rediscovered. They are periods when there is a tendency to quote, to imitate, and to amplify, rather than to state with authority or integrate. New meaning is gradually born from the encounter, or the intersection, of many different elements.
Václav Havel
