I want to know the answer to the following question:
What is the general consensus of the axioms and inference rules declared in Principia Mathematica?
All the background I'm provided with is that "It is generally accepted that Kurt Gödel's incompleteness theorem of 1931 definitively demonstrated 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 from them, and hence that Principia Mathematica could never achieve its aims.". Is that enough to answer the question?
Answer: no