That axiom of Metaphysicians which is termed the principle of contradiction and which affirms that it is impossible for anything to possess a quality… - George Boole

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That axiom of Metaphysicians which is termed the principle of contradiction and which affirms that it is impossible for anything to possess a quality, and in the same time not to possess it, is a consequence of the fundamental law of thought, whose expression is x²=x.

English
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About George Boole

George Boole (2 November 1815 – 8 December 1864) was an English mathematician, logician and philosopher. As the inventor of Boolean logic, which is the basis of modern digital computer logic, he is regarded in hindsight as one of the founders of the field of computer science.

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Additional quotes by George Boole

I am fully assured, that no general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognize, not only the special numerical bases of the science, but also those universal laws of thought which are the basis of all reasoning, and which, whatever they may be as to their essence, are at least mathematical as to their form.

Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave neither room nor demand for a theory of probabilities.

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