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We think of science as discovery, art as invention, but is there a “third world” of mathematics, which is somehow, mysteriously, both?
Visual illusions, too, fascinated me; they showed how intellectual understanding, insight, and even common sense were powerless against the force of perceptual distortions. Gibson’s inverting glasses showed the power of the mind to rectify optical distortions, where visual illusions showed its inability to correct perceptual ones.
“Travel now by all means—if you have the time. But travel the right way, the way I travel. I am always reading and thinking of the history and geography of a place. I see its people in terms of these, placed in the social framework of time and space. Take the prairies, for example; you’re wasting your time visiting these unless you know the saga of the homesteaders, the influence of law and religion at different times, the economic problems, the difficulties of communication, and the effects of successive mineral finds.
not only on her neurological problems and ways of living with them but on her personality, her interests, her family, her entire life history.5
It seems to me that I discover my thoughts through the act of writing, in the act of writing.
“Every perception is an act of creation,” as Edelman says. As we move about, our sense organs take samplings of the world, and from these, maps are created in the brain. There then occurs with experience a selective strengthening of those mappings that correspond to successful perceptions—successful in that they prove the most useful and powerful for the building of “reality.”
Categorization is the central task of the brain, and reentrant signaling allows the brain to categorize its own categorizations, then recategorize these, and so on. Such a process is the beginning of an enormous upward path enabling ever higher levels of thought and consciousness.
Edelman’s theory was the first truly global theory of mind and consciousness, the first biological theory of individuality and autonomy.