The Story of the LOGIC GENIUS who BROKE Mathematics
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???? Kurt Gödel: The prodigious mind who discovered the weakness of mathematical logic, discovers the enigma and How he broke mathematics with a theorem changing history ???? ???? Complete Calculus COURSE HARVARD Level • Harvard Level Calculus 01.- Functions ... More videos that will HELP you ???????? https://www.youtube.com/c/MathRocks?s... ???? JOIN the CHANNEL discover 680 videos and 18 EXCLUSIVE complete COURSES / @mathrocks ► COMPLETE MATHEMATICS COURSES / mathrocks 0:00 Introduction to the GENIUS Kurt Gödel 1:39 Biography of Kurt Gödel 5:30 Kurt Gödel and the INCOMPLETENESS Theorems 8:55 Contributions to Mathematical Logic by Kurt Gödel Gödel 11:55 Interesting facts about Kurt Gödel Kurt Gödel, also known as Kurt Goedel ([ˈkʊʁt ˈɡøːdəl]; Brünn, Austro-Hungarian Empire, now the Czech Republic, 28 April 1906 – Princeton, United States; 14 January 1978) was an Austrian logician, mathematician and philosopher. He is considered one of the most important logicians of all time. His work has had an immense impact on 20th-century scientific and philosophical thought. Like other thinkers such as Gottlob Frege, Bertrand Russell, AN Whitehead and David Hilbert, Gödel attempted to use logic and set theory to understand the foundations of mathematics. He is best known for his two incompleteness theorems, published in 1931, a year after completing his doctorate at the University of Vienna. The most famous one states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (Peano arithmetic), there exist true statements about the natural numbers that cannot be proved from the axioms. To prove this theorem, he developed a technique now called Gödel numbering, which encodes formal expressions as natural numbers. He also showed that the continuum hypothesis cannot be refuted from the accepted axioms of set theory, if those axioms are consistent. He made important contributions to proof theory by elucidating the connections between classical logic, intuitionistic logic, and modal logic. Kurt Gödel and his incompleteness theorems: The revolutionary impact on philosophy and science #history #gödel #kurt ???? FOLLOW ME on IG ►► themathrocks
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