So for homework, my History of Math professor gave us these three questions:
- Explain why the power set of a set S (collection of all subsets) has the same cardinality as the set [all functions from S to the codomain {0,1}].
- What is the key role of (some special kinds of) functions to the theory of Linear Algebra?
- What is the modern view of an "axiomatic system"? (How was this influenced by Non-Euclidean Geometry?)
We have not learned anything related to this and I could not find any of this information in my textbook.