This site is dedicated to the memory of Dr. Alan William Smolowe who gave birth to the creation of this database.
The main objection to the theory of pure visualization is our thesis that the non-Euclidean axioms can be visualized just as rigorously if we adjust the concept of congruence. This thesis is based on the discovery that the normative function of visualization is not of visual but of logical origin and that the intuitive acceptance of certain axioms is based on conditions from which they follow logically, and which have previously been smuggled into the images. The axiom that the straight line is the shortest distance is highly intuitive only because we have adapted the concept of straightness to the system of Eucidean concepts. It is therefore necessary merely to change these conditions to gain a correspondingly intuitive and clear insight into different sets of axioms; this recognition strikes at the root of the intuitive priority of Euclidean geometry. Our solution of the problem is a denial of pure visualization, inasmuch as it denies to visualization a special extralogical compulsion and points out the purely logical and non-intuitive origin of the normative function. Since it asserts, however, the possibility of a visual representation of all geometries, it could be understood as an extension of pure visualization to all geometries. In that case the predicate "pure" is but an empty addition, since it denotes only the difference between experienced and imagined pictures, and we shall therefore discard the term "pure visualization." Instead we shall speak of the normative function of the thinking process, which can guide the pictorial elements of thinking into any logically permissible structure.
Need |
Color is a plastic means of creating intervals... color harmonics produced by special relationships, or tensions. We differentiate now between formal tensions and color tensions, just as we differentiate in music between counterpoint and harmony.
Heart |
Power corrupts... when the weak band together in order to ruin the strong, but not before. The will to power... far from being a characteristic of the strong, is, like envy and greed, among the vices of the weak, and possibly even their most dangerous one.
Creation is dominated by three absolutely different factors: First, nature, which works upon us by its laws; second, the artist, who creates a spiritual contact with nature and his materials; third, the medium of expression through which the artist translates his inner world. Of those three components only one, the medium, is material.
Words |
We may remember what the Romans... thought a cultivated person ought to be: one who knows how to choose his company among men, among things, among thoughts, in the present as well as in the past.
It is the greatest injustice done to Mondrian that people who are plastically blind see only decorative design instead of the plastic perfection which characterizes his work. The whole De Stijl group from which Mondrian's art was derived must be considered a protest against such blindness.
Words |
I meet so many that think population growth is a major problem in regard to climate change. But the number of children born per year in the world has stopped growing since 1990. The total number of children below 15 years of age in the world are now relatively stable around 2 billion.
Words |
You have to fit in sometimes to make people comfortable to listen to you.
The possibilities of being different from what one is are infinite. Once one has negated oneself, however, there are no longer any particular choices.
Need |
Basically I hate categorical labels. As a young artist I already was very clear about this ? that "objectification" is not the final aim of art. For there are greater things than the object. The greatest thing is the human mind.
Words |
The relative meaning of two physical facts in a emotionally controlled relation always creates the phenomenon of a third fact of a higher order, just as two musical sounds, heard simultaneously create the phenomenon of a third, fourth or fifth. The nature of this higher third is non-physical. In a sense it is magic. Each such phenomenon always overshadows the material qualities and the limited meaning of the basic factors from which it has sprung. For this reason Art expresses the highest quality of the spirit when it is surreal in nature; or, in terms of the visual arts, when it is of a surreal plastic nature.
One who speaks fair words feeds you with an empty spoon.
The eye of the master fattens the horse.
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