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.

Let us repeat the two crucial negative premises as established firmly by all human experience: (1) Words are not the things we are speaking about; and (2) There is no such thing as an object in absolute isolation.

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.

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.

It is amusing to discover, in the twentieth century, that the quarrels between two lovers, two mathematicians, two nations, two economic systems, usually assumed insoluble in a finite period should exhibit one mechanism, the semantic mechanism of identification - the discovery of which makes universal agreement possible, in mathematics and in life.

I think therefore I seem to be.

Who rules our symbols, rules us.