One of the most extraordinary examples of McCracken's illusory surfaces occurs with Five Paintings IV, 1974. This wall-mounted work has a black polyester resin finish. From some angles the surface is opaque, from others highly reflective, and from still others it seems to reveal great depth. A happy accident in the creation of the work sealed many tiny air bubbles or particulates in the piece. When these catch the light, they suggest a galaxy of stars on a moonless night.
The mathematical physicist must simplify in order to get a manageable model, and although his concepts are of great beauty, they are austere in the extreme, and the more complicated crystal patterns observed by the metallurgist or geologist, being based on partly imperfect reality, often have a richer aesthetic content. Those who are concerned with structure on a super atomic scale find that there is more significance and interest in the imperfections in crystals than in the monotonous perfection of the crystal lattice itself.
Recently there is a tendency to pursue distortion in art, but in the case of this jar, natural deformation has raised distortion to the level of spontaneous beauty.
Generally speaking, the Western perception of art has its roots in Greece. For a long time its goal was perfection, which is particularly noticeable in Greek sculpture. This was in keeping with Western scientific thinking; there are no painters like Andrea Mantegna in the East. I am tempted to call such art ‘the art of even numbers’.
In contrast to this, what the Japanese eye sought was the beauty of imperfection, which I would call ‘the art of odd numbers’. No other country has pursued the art of imperfection as eagerly as Japan.
We love to see the process, not just the result. The imperfections in your work can be beautiful if they show your struggle for perfection, not a lack of care.
The world is the totality of facts, not of things.
The world is determined by the facts, and by these being all the facts.
For the totality of facts determines both what is the case, and also all that is not the case.
What we cannot think, that we cannot think: we cannot therefore say what we cannot think.
In fact what solipsism means is quite correct, only it cannot be said, but it shows itself.
That the world is my world, shows itself in the fact that the limits of that language (the language which I understand) mean the limits of my world.
I am my world. (The microcosm.)
The thinking, presenting subject; there is no such thing.
Hence also there can be no ethical propositions.
Propositions cannot express anything higher.
It is clear that ethics cannot be expressed.
Ethics is transcendental.
(Ethics and aesthetics are one.)
My propositions are elucidatory in this way: he who understands me finally recognizes them as senseless, when he has climbed out through them, on them, over them. (He must, so to speak, throw away the ladder, after he has climbed up on it.)
He must surmount these propositions; then he sees the world rightly.
Whereof one cannot speak, thereof one must be silent.