Презентация на тему Kurt Friedrich Godel

u s t r i a – H u

n g a r y
( n o w : B r n o, C z e c h R e p u b l i c )

Herr Warum ("Mr. Why") because of his insatiable curiosity.

mathematics and philosophy.

He was fond of Gabelsberger shorthand, criticismus of Isaac

Newton, the writings of Immanuel Kant and participated in the Vienna philosophical circle.

zu erklären, dann machte er mich auf die schöne

Zeichnung und Haltung der Figuren, auf die herrliche Komposition aufmerksam.

his doctoral dissertation.
In it he established the completeness of

the first-order predicate calculus.

the greatest scientific achievements of the XX century.
He

proved for any computable axiomatic system, that is powerful enough to describe the arithmetic of the natural numbers (e.g., the Peano axioms or ZFC theory), that:
1. If a formal axiomatic system is consistent, it can’t be complete. [I.e., there are true sentence in this system’s language that can’t be proved within it.]
2. The consistency of axioms can’t be proved within their own system. [I.e., the sentence that confirms the consistency of this system is unprovable in it.]
These theorems are directly related to the solution of Hilbert's 2nd problem:
they pessimistically ended a half-century Hilbert's attempts to find a set of axioms sufficient for all mathematics.

divorced Adele Nimbursky, in a Viennese night club. She

worked there as a dancer and was 27.

that the negation of the continuum hypothesis is unprovable

in the standard axiomatics of set theory with the axiom of choice (ZFC system), assuming these axioms are consistent.

This result greatly influenced on solution of Hilbert's 1st problem.

for the U.S. and because of the danger of

a journey across the Atlantic traveled there through the USSR (on the Trans-Siberian Railway) and Japan.

discovered
incompleteness in the U.S. Constitution
that could allow

the U.S.___________
to become a DICTATORSHIP_______



!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

timelike curves, to Einstein's field equations in general relativity.

His "rotating universes" would allow time travel to the past and caused Einstein to have doubts about his own theory.
His solutions are known as the Gödel metric (an exact solution of the Einstein field equations).

confided that
his "own work no longer meant much,

that he came to the Institute merely ...
to have the privilege of walking home with Gödel“.

afraid of something. In recent years he had an

obsessive fear of being poisoned. 
1977 he refused to eat at all and died weighing 29 kl in residential psychiatric facility.

D E A T H . . . . . . . . . . . . . . . . .

His death certificate reported that he died of "malnutrition caused by personality disturbance”.

the world is rationally constructed, there must be an

afterlife”
- K. Gödel

“Gödel, Esher, Bach: This Endless Garland“.
It draws

parallels in the works and biographies of K. Gödel, the artist M.K. Esher and the composer I.S. Bach.
It also highlights the fundamental concepts on which mathematics, symmetry and our mind are based.

of 100 persons who formed the XX century.
A man

of the century became A. Einstein.