Kurt GÃ¶del Quotes and Sayings  Page 1

“I don't believe in empirical science. I only believe in a priori truth.”
 Kurt GÃ¶del 
“The more I think about language, the more it amazes me that people ever understand each other at all.”
 Kurt GÃ¶del 
“Either mathematics is too big for the human mind or the human mind is more than a machine.”
 Kurt GÃ¶del 
“I am convinced of the afterlife, independent of theology. If the world is rationally constructed, there must be an afterlife”
 Kurt GÃ¶del 
“The meaning of world is the separation of wish and fact.”
 Kurt GÃ¶del 
“But every error is due to extraneous factors (such as emotion and education); reason itself does not err.”
 Kurt GÃ¶del 
“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 GÃ¶del 
“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 GÃ¶del 
“I like Islam, it is a consistent idea of religion and openminded.”
 Kurt GÃ¶del 
“Toward the end of his life, GÃ¶del 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 GÃ¶del's gifts might be aborted.”
 Kurt GÃ¶del 
“...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 GÃ¶del 
“In any nontrivial axiomatic system, there are true theorems which cannot be proven.”
 Kurt GÃ¶del 
“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.”
 Kurt GÃ¶del 
“Said to physicist John Bahcall. I don't believe in natural science.”
 Kurt GÃ¶del
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