Original: Principia Mathematica ( Stanford Encyclopedia of Philosophy ) Gödel is best known for his two incompleteness theorems , published in 1931 when he was 25 years of age , one year after finishing his doctorate at the University of Vienna .
Simplified: Fame Gödel is best known for his two incompleteness theorems . He was 25 years of age , and had just finished his doctorate at the University of Vienna one year earlier .