The ultimate substantive legacy of Principia Mathematica is mixed. 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. However, Gödel could not have come to this conclusion without Whitehead and Russell's book. In this way, Principia Mathematica's legacy might be described as its key role in disproving the possibility of achieving its own stated goals. But beyond this somewhat ironic legacy, the book popularized modern mathematical logic and drew important connections between logic, epistemology, and metaphysics. 

Whitehead's most complete work on education is the 1929 book The Aims of Education and Other Essays, which collected numerous essays and addresses by Whitehead on the subject published between 1912 and 1927. The essay from which Aims of Education derived its name was delivered as an address in 1916 when Whitehead was president of the London Branch of the Mathematical Association. In it, he cautioned against the teaching of what he called "inert ideas" – ideas that are disconnected scraps of information, with no application to real life or culture. He opined that "education with inert ideas is not only useless: it is, above all things, harmful." QUESTIONS:

Q1:
1. Who came up with a theory?
2. What was the name of the person that established a theorum?
3. Who thought up the incompleteness theorum?
Q2:
1. What was Kurt Gödel's called?
2. Which theorum was thought up by Kurt Gödel?
3. What was the name of Kurt Gödel's theorum?
Q3:
1. When did Kurt Gödel come up with the incompleteness theorum?
2. In what year was Kurt Gödel's incompleteness theorum established?
3. What was the year when Kurt Gödel came up with his incompleteness theorum?
Q4:
1. Who was in charge of something?
2. What was the name of something's leader?
3. Who was the head honcho somewhere?
Q5:
1. What was Whitehead president of?
2. What body did Whitehead preside over?
3. What Organization was Whitehead the leader of?
Q6:
1. Is Whitehead known as anything other than President of the London Branch of the Mathematical Association?
2. Did Whitehead do anything notable besides lead the London Branch of the Mathematical Association?
3. Is there anything notable about Whitehead besides leading the London Branch of the Mathematical Association?
Q7:
1. What is Whitehead known as other than President of the London Branch of the Mathematical Association?
2. What did Whitehead do that was notable besides lead the London Branch of the Mathematical Association?
3. What was notable about Whitehead besides leading the London Branch of the Mathematical Association?
Q8:
1. What did Whitehead write?
2. What was Whitehead the author of?
3. What sort of text did Whitehead create?
Q9:
1. What was Whitehead's book?
2. What was the name of Whitehead's text?
3. What was the book that Whitehead wrote called?
Q10:
1. When was Whitehead's book released?
2. When did The Aims of Education and Other Essays come out?
3. What was the year of publication of The Aims of Education and Other Essays?
Q11:
1. Was The Aims of Education and Other Essays a novel?
2. Did The Aims of Education and Other Essays write a novel?
3. Could The Aims of Education and Other Essays be categorized as a novel?
Q12:
1. What was The Aims of Education and Other Essays?
2. What genre was The Aims of Education and Other Essays?
3. What sort of book was The Aims of Education and Other Essays?
Q13:
1. Did Whitehead warn about something in The Aims of Education and Other Essays?
2. Did Whitehead give caution about something in his book?
3. Did Whitehead's book contain a warning?
Q14:
1. What did Whitehead caution against in The Aims of Education and Other Essays?
2. What was Whitehead's warning in his book?
3. What did Whitehead advise against in The Aims of Education and Other Essays?
Q15:
1. What are "inert ideas"?
2. What does "inert ideas" mean?
3. What does it mean to say that an idea is inert?
