Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking.

Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking.

The orbit of human vision has widened and art has annexed fresh territories that were formerly denied to it.

Far from creating a new formalism, what these can yield is something far transcending surface values since they not only embody form as beauty, but also form in which intuitions or ideas or conjectures have taken visible substance.

I endeavor to make a picture, for instance, exert a positive influence on the observer by its coloring, mood, and compositional idea, encouraging, say, activation, tranquilization, concentration, or harmony.

And despite the fact that the basis of this mathematical way of thinking in art is in reason, its dynamic content is able to launch us on astral flights which soar into unknown and still uncharted regions of the imagination.

We call those works of art concrete that came into being on the basis of their inherent resources and rules - without external borrowing from natural phenomena, without transforming those phenomena, in other words: not by abstraction.