Kurt Gödel


sursa: WIKI: http://en.wikipedia.org/wiki/Kurt_G%C3%B6del

Gödel was a convinced theist. He rejected the notion of others like his friend Albert Einstein that God was impersonal. He believed firmly in an afterlife, stating: „I am convinced of the afterlife, independent of theology. If the world is rationally constructed, there must be an afterlife.” In an unmailed answer to a questionnaire, Gödel described his religion as „baptized Lutheran (but not member of any religious congregation). My belief is theistic, not pantheistic, following Leibniz rather than Spinoza.”

(Born April 28, 1906, Brno, Moravia, Austria–Hungary – died January 14, 1978, Princeton, New Jersey, United States) was an Austrian logician, mathematician and philosopher. Later in his life he emigrated to the United States to escape the effects of World War II. One of the most significant logicians of all time, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when many, such as Bertrand Russell, A. N. Whitehead and David Hilbert, were pioneering the use of logic and set theory to understand the foundations of mathematics.

Gödel is best known for his two incompleteness theorems, published in 1931 when he was 25 years of age, one year after finishing his doctorate at the University of Vienna. The more famous incompleteness theorem states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (Peano arithmetic), there are true propositions about the naturals that cannot be proved from the axioms. To prove this theorem, Gödel developed a technique now known as Gödel numbering, which codes formal expressions as natural numbers.

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