# Kurt Friedrich Gödel, 1906 - 1978

*LIFE*magazine archive photo (1962)

Born: 28 April 1906, Brno, Moravia, Austria

Died: 14 January 1978, Princeton, New Jersey

Biography from Wikipedia

### Kurt Godel quotes:

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- Classes and concepts may, however, also be conceived as real objects, namely classes as 'pluralities of things' or as structures consisting of a plurality of things and concepts as the properties and relations of things existing independently of our definitions and constructions. It seems to me that the assumption of such objects is quite as legitimate as the assumption of physical bodies and there is quite as much reason to believe in their existence. They are in the same sense necessary to obtain a satisfactory system of mathematics as physical bodies are necessary for a satisfactory theory of our sense perceptions.
*permalink*Bertrand "Russell's Mathematical Logic" (1944)

- Consciousness is connected with one unity. A machine is composed of parts.
*permalink* - Don't collect data. If you know everything about yourself, you know everything. There is no use burdening yourself with a lot of data. Once you understand yourself, you understand human nature and then the rest follows.
*permalink* - Every error is caused by emotions and education (implicit and explicit); intellect by itself (not disturbed by anything outside) could not err.
*permalink* - In any non-trivial axiomatic system, there are true thereoms that cannot be proven.
*permalink* - In principle, we can know all of mathematics. It is given to us in its entirety and does not change.... That part of it of which we have a perfect view seems beautiful, suggesting harmony; that is that all the parts fit together although we see fragments of them only.
*permalink* - Intuition is not proof; it is the opposite of proof. We do not analyze intuition to see a proof but by intuition we see something without a proof.
*permalink* - It is a mistake to argue rather than report. This is the same mistake the positivists make: to prove everything from nothing. A large part is not to prove but to call attention to certain immediately given but not provable facts. It is futile to try to prove what is given.
*permalink* - Non-standard analysis frequently simplifies substantially the proofs, not only of elementary theorems, but also of deep results. This is true, e.g., also for the proof of the existence of invariant subspaces for compact operators, disregarding the improvement of the result; and it is true in an even higher degree in other cases. This state of affairs should prevent a rather common misinterpretation of non-standard analysis, namely the idea that it is some kind of extravagance or fad of mathematical logicians. Nothing could be farther from the truth. Rather, there are good reasons to believe that non-standard analysis, in some version or other, will be the analysis of the future.
*permalink*"Remark on Non-standard Analysis" (1974)

- One bad effect of logical positivism is its claim of being intimately associated with mathematical logic. As a result, other philosophers tend to distance themselves from mathematical logic and therewith deprive themselves of the benefits of a precise way of thinking.
*permalink* - Philosophy as an exact theory should do for metaphysics as much as Newton did for physics. I think it is perfectly possible that the development of such a philosophical theory will take place within the next hundred years or even sooner.
*permalink* - Positivists decline to acknowledge any a priori knowledge. They wish to reduce everything to sense perceptions. Generally they contradict themselves in that they deny introspection as experience.
*permalink* - Power is a quality which enables one to reach one's goals.... Yet a preoccupation with power distracts us from paying attention to what is at the foundation of the world.
*permalink* - Rules of right behavior are easier to find than the foundations of philosophy.
*permalink* - The brain is a computing machine connected with a spirit.
*permalink*

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