What is the title of Isaac Newton's book?
Q: What is the title of Isaac Newton's book?
A: The title of Isaac Newton's book is Philosophiæ Naturalis Principia Mathematica.
Q: Who wrote the Principia Mathematica?
A: The Principia Mathematica was written by Alfred North Whitehead and Bertrand Russell.
Q: When was the Principia Mathematica published?
A: The Principia Mathematica was published in 1910, 1912, and 1913.
Q: What did the authors believe they could do with the book?
A: The authors believed that they could use the book to describe a set of axioms, inference rules and law of noncontradiction in symbolic logic from which all mathematical truths could in principle be proved.
Q: How did Gödel's incompleteness theorem prove this goal to be impossible?
A: Gödel's incompleteness theorem proved that for any set of axioms and inference rules proposed, either the system must be inconsistent, or there must in fact be some truths of mathematics which could not be deduced from them. Therefore, it proved that this ambitious project was impossible to reach.
Q: Who inspired and motivated PM?
A: PM was inspired and motivated by Gottlob Frege's earlier work on logic.
Q: How does PM differ from Russell's 1903 Principles of Mathematics?
A:PM differs from Russell's 1903 Principles of Mathematics because PM states "The present work was originally intended by us to be ... a second volume of Principles of Mathematics... But as we advanced, it became increasingly evident that the subject is a very much larger one than we had supposed..."
