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Who was Kurt Godel and what did he do?
Though Gödel was not himself a logical positivist, those discussions were a crucial formative influence. The 1930s were a prodigious decade for Gödel.
What did Kurt Godel learn from Hans Hahn?
Gödel learned his logic from Rudolph Carnap and from Hans Hahn, eventually graduating under Hahn with a Dr.phil. in mathematics in 1929. The main theorem of his dissertation was the completeness theorem for first order logic (Gödel 1929).
Who was Kurt Godel's professor at Stanford University?
Philipp Furtwängler, cousin of the great German conductor Wilhelm Furtwängler, was one of his mathematics professors, and indeed Furtwängler’s course on class field theory almost tempted Gödel to pursue his studies in that area.
How did Kurt Godel prove the second incompleteness theorem?
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.
Last Update: Oct 2021