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Kurt Gödel

Description. Lang: en

Kurt Friedrich Gödel (; German: [ˈkʊɐ̯t ˈɡøːdl̩] (listen); April 28, 1906 – January 14, 1978) was an Austro-Hungarian-born Austrian logician, mathematician, and analytic philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel had an immense effect upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell, Alfred North Whitehead, and David Hilbert were analyzing the use of logic and set theory to understand the foundations of mathematics pioneered by Georg Cantor.
Gödel published his two incompleteness theorems in 1931 when he was 25 years old, one year after finishing his doctorate at the University of Vienna. The first incompleteness theorem states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (for example 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.
He also showed that neither the axiom of choice nor the continuum hypothesis can be disproved from the accepted axioms of set theory, assuming these axioms are consistent. The former result opened the door for mathematicians to assume the axiom of choice in their proofs. He also made important contributions to proof theory by clarifying the connections between classical logic, intuitionistic logic, and modal logic.
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Kurt Gödel

Kurt Gödel

Logician

  • Desc: Kurt Friedrich Gödel was an Austro-Hungarian-born Austrian logician, mathematician, and analytic philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel had an immense effect upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell, Alfred North Whitehead, and David Hilbert were analyzing the use of logic and set theory to understand the foundations of mathematics pioneered by Georg Cantor.
  • Wiki: https://en.wikipedia.org/wiki/Kurt_G%C3%B6del
  • Type: Thing, Person
  • Result Score: 323.55

Reflections on Kurt Gödel

Book by Hao Wang

  • Type: Thing, Book
  • Result Score: 24.06

Kurt Gödel

Event

  • Type: Thing, Event
  • Result Score: 24.00

Kurt Gödel

Fictional character

  • Type: Thing
  • Result Score: 24.00

Tribute to Kurt Gödel 2020

Event

  • Type: Thing, Event
  • Result Score: 12.00

Kurt Gödel, les théorèmes qui ont brisé les maths

Event

  • Type: Thing, Event
  • Result Score: 12.00

KURT GOEDEL`s LEGACY: DOES FUTURE LIE IN THE PAST?

Event

  • Type: Thing, Event
  • Result Score: 3.00
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