I have a problem in that I have a burning desire to master set theory and cannot find worksheets with solutions dealing with elementary set theory.
This is a really big chink in my chain in that if I can master the basic notions of set theory then I am up and away when it comes to mastering the deeper notions, such as the Borel hierarchy.
My assumption is that mathematics is understood by doing, something which I have experienced first-hand and second-hand through others’ statements in this regard. Thus having worksheets with solutions is vital. I already have a grasp over the concepts in set theory, but am hamstrung by not being able to do the mathematics.
Possible solutions to my problem of finding solutions, has been to get various text-books, e.g. joy of sets and kunen’s, trawl various opensource websites and even university looking for the basic worksheets, but I sense a certain caginess. I wonder whether this is due to the effort required by whatever course convener to write up worksheets?
What I do have is the understanding of the philosophy and notions in the subject, and further I can mostly understand set theoretic statement/equations, its just when actually doing the mathematics I am lacking. Thus the main problem is to find set-theoretic mathematical problems to chew over but invariably they do not have solutions to problems given. What they do have are proofs of the complex problems, something which is of utility to me given that I can then seek to prove the proof myself; thus getting insight through doing, but this is out of reach given that I lack knowledge of the basics.
If somebody could send me their coursework, such as homework exercises/tutorial exercises with solutions, or even links to resources I would be forever grateful.