1. The most difficult part of this reading for me were index sets. I have read over it a few times and still have trouble understanding where all the sets in the Index set come from. The book states that it is simply a set which is used as a mechanism for the sets we want to consider. So each element in the indexed set is simply a set that is numbered? The examples show some fun things that can be done with it, especially with set operations but I'm not entirely sure how this is to be used.
2. For me one of the coolest things was with the Cartesian Products of Sets. Not that it is terribly relevant to my field, but it was cool to me that any line could be written as an element of the Cartesian product R x R.
As well, set partitions was neat because it helped me visualize how real numbers relate to rational and irrational numbers for example.
No comments:
Post a Comment