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Kurt Gödel Biography

Kurt Friedrich Gödel (UK: /ˈɡɜːrdəl/, US: /ˈɡoʊ-/; German: [ˈkʊɐ̯t ˈɡøːdl̩] ( listen); April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher. Considered along with Aristotle, Alfred Tarski and Gottlob Frege to be one of the most significant logicians in history, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell, Alfred North Whitehead, and David Hilbert were analyzing the use of logic and set theory to understand the foundations of mathematics pioneered by Georg Cantor.

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Kurt Gödel Quotes

All generalisations - perhaps except this one - are false.

Except, False, Generalisation, Generalisations, Perhaps

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules.

Development, Mathematics, Precision, Theorem, Using, Well Known

The meaning of world is the separation of wish and fact.

Fact, Facts, Meaning, Separation, Wish, World

I don't believe in empirical science. I only believe in a priori truth.

Believe, Don'T Believe, Empirical, Priori, Science

The axiomatic method is very powerful

Axiomatic, Method, Powerful, Very Powerful

The more I think about language, the more it amazes me that people ever understand each other at all.

Language, People, Think, Thinking

Said to physicist John Bahcall. I don't believe in natural science.

Believe, Belief, Natural, John, Bahcall

All generalizations, with the possible exception of this one, are false.

Exception, False, Generalization, Generalizations, Possible

I don't believe in natural science.

Believe, Math, Natural, Science

The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules. . . One might therefore conjecture that these axioms and rules of inference are sufficient to decide any mathematical question that can at all be formally expressed in these systems. It will be shown below that this is not the case, that on the contrary there are in the two systems mentioned relatively simple problems in the theory of integers that cannot be decided on the basis of the axioms.

Development, Known, Nothing, Simple, Theorem, Two

I am convinced of the afterlife, independent of theology. If the world is rationally constructed, there must be an afterlife

Afterlife, Independent, Theology, World

The formation in geological time of the human body by the laws of physics (or any other laws of similar nature), starting from a random distribution of elementary particles and the field is as unlikely as the separation of the atmosphere into its components. The complexity of the living things has to be present within the material [from which they are derived] or in the laws [governing their formation].

Atmosphere, Body, Law, Particles, Physics, Similar

Either mathematics is too big for the human mind or the human mind is more than a machine.

Human, Machine, Machines, Mathematics, Mind

The physical laws, in their observable consequences, have a finite limit of precision.

Law, Laws, Limits, Physical, Precision

Nothing new had been done in Logic since Aristotle!

Aristotle, Done, Logic, Nothing, Nothing New

. . . a consistency proof for [any] system. . . can be carried out only by means of modes of inference that are not formalized in the system. . . itself.

Carried, Consistency, Formalized, Math, Mean, System

Ninety percent of [contemporary philosophers] see their principle task as that of beating religion out of men's heads. . . . We are far from being able to provide scientific basis for the theological world view.

Men, Views, Principles, Religion, Beating, Task

But every error is due to extraneous factors (such as emotion and education); reason itself does not err.

Doe, Due, Emotion, Errors, Reason

I like Islam, it is a consistent idea of religion and open-minded.

Consistent, Idea, Ideas, Islam, Open Minded