THE KURT GODEL'S PHILOSOPHY - ALEXIS KARPOUZOS
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Science Mathematics
Kurt Gödel
American mathematician
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Also known as: Kurt Goedel
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Last Updated: Jan 10, 2025 • Article History
Table of Contents
Kurt Gödel (born April 28,
1906, Brünn, AustriaHungary [now Brno, Czech
Rep.]—died Jan. 14, 1978,
Princeton, N.J., U.S.) was an
Austrian-born
mathematician, logician, and
philosopher who obtained
what may be the most
important mathematical
result of the 20th century: his
famous incompleteness
theorem, which states that within any axiomatic mathematical
system there are propositions that cannot be proved or disproved on
the basis of the axioms within that system; thus, such a system
cannot be simultaneously complete and consistent. This proof
established Gödel as one of the greatest logicians since Aristotle, and
its repercussions continue to be felt and debated today.
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Gödel also spelled: Goedel
Born: April 28, 1906, Brünn, AustriaHungary [now Brno, Czech Rep.]
Died: Jan. 14, 1978, Princeton, N.J.,
U.S. (aged 71, died on this day)
Subjects Of Study: continuum
hypothesis
Kurt Gödel Kurt Gödel, 1950.
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Early life and career
Gödel suffered through several periods of poor health as a child,
following a bout at age 6 with rheumatic fever, which left him fearful
of having some residual heart problem. His lifelong concern with his
health may have contributed to his eventual paranoia, which
included obsessively cleaning his eating utensils and worrying over
the purity of his food.
As a German-speaking Austrian, Gödel suddenly found himself living
in the newly formed country of Czechoslovakia when the AustroHungarian Empire was broken up at the end of World War I in 1918.
Six years later, though, he went to study in Austria, at the University
of Vienna, where he earned his doctorate in mathematics in 1929. He
joined the faculty at the University of Vienna the next year.
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Numbers and Mathematics
During that period, Vienna was one of the intellectual hubs of the
world. It was home to the famed Vienna Circle, a group of scientists,
mathematicians, and philosophers who endorsed the naturalistic,
strongly empiricist, and antimetaphysical view known as logical
positivism. Gödel’s dissertation adviser, Hans Hahn, was one of the
leaders of the Vienna Circle, and...