89660
If " S " is indexed by a set " I " consisting of all the natural numbers " N " or a finite subset of them , then it is easy to set up a simple one to one coding ( or Gödel numbering ) from the free group on " S " to the natural numbers , such that we can find algorithms that , given " f " ( " w " ) , calculate " w " , and vice versa .
 person: Gödel
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Gödel 
Answer:
 person: Gödel