Kurt Gödel citáty

Kurt Gödel foto

1   0

Kurt Gödel

Dátum narodenia: 28. apríl 1906
Dátum úmrtia: 14. január 1978

Kurt Gödel bol logik, matematik a matematický filozof, súkromný docent Viedenskej univerzity, od 1953 profesor. Princetonského ústavu perspektívnych výskumov, člen Národnej AV USA a Americkej filozofickej spoločnosti.

„1. Nech je daná axiomatická sústava aritmetiky Z+. Potom je vždy možné na základe tých pojmov, ktoré do sústavy vstupujú, zostaviť najmenej jednu takú vetu, ktorú pomocou danej axiomatickej sústavy nie je možné ani dokázať, ani vyvrátiť.“

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

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

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

„There is a difference between a thing and talking about a thing.“

„Our total reality and total existence are beautiful and meaningful.... We should judge reality by the little which we truly know of it. Since that part which conceptually we know fully turns out to be so beautiful, the real world of which we know so little should also be beautiful. Life may be miserable for seventy years and happy for a million years: the short period of misery may even be necessary for the whole.“

„Only someone who (like the Intuitionist) denies that the concepts and axioms of classical set theory have any meaning could be satisfied with such a solution, not someone who believes them to describe some well-determined reality. For in reality Cantor's conjecture must be either true or false, and its undecidability from the axioms as known today can only mean that these axioms do not contain a complete description of reality.“

„But, despite their remoteness from sense experience, we do have something like a perception of the objects of set theory, as is seen from the fact that the axioms force themselves upon us as being true. I don't see any reason why we should have less confidence in this kind of perception, i. e., in mathematical intuition, than in sense perception.“

„Time-travel is possible, but no person will ever manage to kill his past self. Godel laughed his laugh then, and concluded, The a priori is greatly neglected. Logic is very powerful.“

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

Podobní autori