Kandinsky's goal seems admirable, to create a vocabulary in which abstract visual art can be discussed. That would allow a theory of abstraction to develop, with the promise that art would advance as its theory advanced. He argues his case well, he was trained as a lawyer after all, using analogy to that most abstract of arts: music.
He presents his thoughts in three sections following logical progression: point, line, and plane. As one would expect in discussing visual impression, Kandinsky acknowledges the mathematical point but generalizes it to isolated, self-contained marks of many kinds. Already, in the zero-dimensional world, Kandinsky begins his conceptual whirl: a point is not just a point, but a tension, a temporal presence, and even a sound - though I'm not convinced that this "sound" relates to audible impressons. The point even manifests as a period in punctuation. Its presence and position changes or erases a sentence's meaning; presumably, one is to infer that it has similar meaning in visual compostion.
Moving on to Line, Kandinsky crams a huge number of concepts onto the page: temperature, hue plus white and black, movement and force, angle, sound and triple sound, and even the duality of male/active vs. female/passive. Certainly there is much to discuss in all of these things, but the color, sound, and sex of a specific diagonal angle elude me. They are clear enough to Kandinsky, though, who announces these relations with absolute certainty and inevitability. His writing makes me think of mysteries revealed with papal infallibility, and with internal reason beyond human reasoning. Discussion of Plane drives even deeper into thickets of interlaced concept. I admit that I was never able to hack a clear path for myself through his conceptual undergrowth.
In the end, Kandinsky's vision remains a statement of his own inner experience - not of thinking that could be shared and pushed forward by other minds. Instead of showing the world how to think, he shows the world how he thinks. Although I'm no great fan of his art, that glimpse fascinates me, and is reason enough for reading and experiencing this remarkable text.
-- wiredweird