Gödel

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Kurt Gödel - Wikipedia
a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history. en.wikipedia.org
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Kurt Gödel - Stanford Encyclopedia of Philosophy
Kurt Friedrich Gödel (b. 1906, d. 1978) was one of the principal founders of the modern, metamathematical era in mathematical logic. plato.stanford.edu
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Kurt Gödel, his mother and the argument for life after death - Aeon
The intrepid logician Kurt Gödel believed in the afterlife. In four heartfelt letters to his mother he explained why. aeon.co
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Gödel
Gödel (ˈg{obar}ːdəl) The name of Kurt Gödel (born 1906), Austrian mathematician, used attrib. and in the possessive to designate his metamathematical theorems and related techniques and constituents; as Gödel number, Gödel numbering; Gödel's proof; Gödel('s) theorem, the demonstration (first publish... Oxford English Dictionary
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Kurt Gödel: The Genius of Metamathematics (Springer Biographies)
This book includes more details about the context of Gödel's life than are found in earlier biographies, while avoiding an elaborate treatment of his ... www.amazon.com
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Gödel metric - Wikipedia
The Gödel metric, also known as the Gödel solution or Gödel universe, is an exact solution, found in 1949 by Kurt Gödel en.wikipedia.org
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Gödel number for contradicting modus ponens? When Gödel numbered statements, for instance modus ponens and connectives got their own numbers, does it matter which number each connective gets as long as they are differ...
For Gödel original numbering, see: * Jean van Heijenoort (editor), From Frege to Gödel: A Source Book in Mathematical Logic (1967), page 600: The
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Kurt Gödel: Life, Work, and Legacy | Institute for Advanced Study
Kurt Gödel (1906–78), the foremost mathematical logician of the twentieth century among its top 100 most influential thinkers. www.ias.edu
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Kurt Gödel | Austrian Logician, Mathematician & Philosopher
Kurt Gödel was an Austrian-born mathematician, logician, and philosopher who obtained what may be the most important mathematical result of ... www.britannica.com
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Gödel's Incompleteness Theorem - Marcus du Sautoy - YouTube
Explore Gödel's Incompleteness Theorem, a discovery which changed what we know about mathematical proofs and statements. www.youtube.com
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Kurt Gödel - Scholars | Institute for Advanced Study
The foremost mathematical logician of the twentieth century, Kurt Gödel was associated with the Institute for Advanced Study from his first visit in the ... www.ias.edu
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Are Gödel's Theorems important? : r/math - Reddit
Gödel's theorem is very strongly related to the undecidability of halting problem, which is of crucial importance. www.reddit.com
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Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable? Gödel's Incompleteness Theorem states that in any non-contradictory non-trivial axiomatic system there are certain sta...
Robinson arithmetic is non-trivial enough that the incompleteness theorem applies to it, but as far as I know not strong enough to prove the incompleteness theorem itself.
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Gödel's Incompleteness Theorem - Diagonal Lemma In proving Gödel's incompleteness theorem, why does he needed the Diagonal Lemma or the Fixed Point Theorem for building a formula $\phi$ that spoke about itself? Can't ...
If I understand your notation correctly, the formula (whose Gödel number is) $j$ does not assert that $j$ itself has no free variables, merely that $\psi
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Gödel's proof method and fundamental theorem of arithmetic I am a novice to Gödel's proof (the theorem that consistency contradicts completeness), and, as it seems to me, he uses the fundamental theorem of arithmetic ...
Note that $\sf PA$ proves the fundamental theorem of arithmetic (the usual proof goes through just fine), then $\sf PA$ proves that the encoding is unique. It is important to note that the function mapping a formula to its number is _not_ internal to the model of $\sf PA$, a model of $\sf PA$ is not...
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