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

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

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

All generalisations - perhaps except this one - are false.

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

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

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.

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

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

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].

Toward the end of his life, Gödel feared that he was being poisoned, and he starved himself to death. His theorem is one of the most extraordinary results in mathematics, or in any intellectual field in this century. If ever potential mental instability is detectable by genetic analysis, an embryo of someone with Kurt Gödel's gifts might be aborted.

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

...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.

Nothing new had been done in Logic since Aristotle!

The axiomatic method is very powerful

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

I don't believe in natural science.

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.

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

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.

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