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The principle of non-contradiction is important. Without it, no rational philosophy can be constructed, no true knowledge obtained. This principle declares that the same thing cannot be in the same sense both affirmed and denied, it cannot be and not be. For instance, it is impossible to involve any object in the contradiction of being both hot and cold at one and the same moment. Any so-called reasoning which offends this primary principle can lead only to insanity and not to truth.

-- Notebooks Category 7: The Intellect > Chapter 4 : Abstract Thought > # 44