question: What did the incompleteness theorem of 1931 indicate regarding Principia Mathematica ?
answer: for any set of axioms and inference rules proposed to encapsulate mathematics , there would in fact be some truths of mathematics which could not be deduced
turker_answer: The incompleteness theorem of 1931 indicated that for any set of axioms and inference rules proposed to encapsulate mathematics , there would in fact be some truths of mathematics which could not be deduced .
rule-based: The incompleteness theorem of 1931 indicated for any set of axioms and inference rules proposed to encapsulate mathematics , there would in fact be some truths of mathematics which could not be deduced regarding Principia Mathematica .