Two important characteristics of maps should be noticed. A map is not the territory it represents, but, if correct, it has a similar structure to the territory, which accounts for its usefulness.

Every language having a structure, by the very nature of language, reflects in its own structure that of the world as assumed by those who evolved the language. In other words, we read unconsciously into the world the structure of the language we use.

If all people learned to think in the non Aristotelian manner of quantum mechanics, the world would change so radically that most of what we call "stupidity" and even a great deal of what we consider "insanity" might disappear, and the "intractable" problems of war, poverty and injustice would suddenly seem a great deal closer to solution.

Mathematics and logic have been proved to be one; a fact from which it seems to follow that mathematics may successfully deal with non-quantitative problems in a much broader sense than was suspected to be possible.

What we call progress consists in coordinating ideas with realities.

The objective level is not words, and cannot be reached by words alone. We must point our finger and be silent, or we will never reach this level.

As words are not the things we speak about, and structure is the only link between them, structure becomes the only content of knowledge. If we gamble on verbal structures that have no observable empirical structures, such gambling can never give us any structural information about the world. Therefore such verbal structures are structurally obsolete, and if we believe in them, they induce delusions or other semantic disturbances.