18+ Kurt Gödel Quotes (Logical, Incompleteness And Unprovability)

Kurt Gödel was an Austrian-American logician, mathematician, and philosopher. He is best known for his incompleteness theorems, which are fundamental results in mathematical logic that demonstrate the inherent limitations of every formal axiomatic system. His work has had major implications for the philosophy of mathematics, as well as for artificial intelligence, computer science, and the foundations of mathematics.

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

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

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

...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. — Kurt Gödel

Nothing new had been done in Logic since Aristotle! — Kurt Gödel

The axiomatic method is very powerful — Kurt Gödel

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

I don't believe in natural science. — Kurt Gödel

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. — Kurt Gödel

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. — Kurt Gödel

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

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

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

All generalisations - perhaps except this one - are false. — Kurt Gödel

The meaning of world is the separation of wish and fact. — Kurt Gödel

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

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

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. — Kurt Gödel

Life Lessons by Kurt Gödel

1. Kurt Gödel's work demonstrated the limitations of mathematical systems, showing that some statements are true but cannot be proven within the system.
2. Gödel's incompleteness theorems showed that no matter how complex a system is, it cannot prove all of its own truths.
3. Gödel's work has been an important influence on modern mathematics, computer science, and philosophy, teaching us that there are limits to what can be known and proven.