### What does **kurt godel** mean?

# Definitions for kurt godel

kurt godel

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **kurt godel**.

### Princeton's WordNet

Godel, Kurt Godelnoun

United States mathematician (born in Austria) who is remembered principally for demonstrating the limitations of axiomatic systems (1906-1978)

### Wikipedia

Kurt Gödel

Kurt Friedrich Gödel ( GUR-dəl, German: [kʊʁt ˈɡøːdl̩] (listen); April 28, 1906 – January 14, 1978) was a logician, mathematician, and 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 using logic and set theory to investigate the foundations of mathematics, building on earlier work by the likes of Richard Dedekind, Georg Cantor and Frege. Gödel's discoveries in the foundations of mathematics led to the proof of Gödel's completeness theorem in 1929 as part of his dissertation to earn a doctorate at the University of Vienna, and the publication of the two Gödel's incompleteness theorems two years later, in 1931. The first incompleteness theorem states that for any ω-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (for example, Peano arithmetic), there are true propositions about the natural numbers that can be neither proved nor disproved from the axioms. To prove this, Gödel developed a technique now known as Gödel numbering, which codes formal expressions as natural numbers. The second incompleteness theorem, which follows from the first, states that the system cannot prove its own consistency.Gödel also showed that neither the axiom of choice nor the continuum hypothesis can be disproved from the accepted Zermelo–Fraenkel set theory, assuming that its 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.

### ChatGPT

kurt godel

Kurt Gödel was an Austrian-American logician, mathematician, and philosopher, considered one of the most significant logicians in human history. He was a prominent figure in the development of theoretical mathematics in the 20th century. Born in 1906, Gödel made immense contributions to logic, number theory, and philosophy, especially known for his incompleteness theorems, which have heavily influenced the scientific and philosophical understanding of the nature of mathematics.

### Wikidata

Kurt Gödel

Kurt Friedrich Gödel was an Austrian American logician, mathematician, and philosopher. After World War II, he emigrated to the United States. Considered with Aristotle and Frege one of the most significant logicians in human history, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when others 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 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, 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.

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of kurt godel in Chaldean Numerology is:

**9**Pythagorean Numerology

The numerical value of kurt godel in Pythagorean Numerology is:

**5**

## Translations for **kurt godel**

### From our Multilingual Translation Dictionary

- kurt godelSpanish

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"kurt godel." *Definitions.net.* STANDS4 LLC, 2024. Web. 10 Nov. 2024. <https://www.definitions.net/definition/kurt+godel>.

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