I took this course, from The Teaching Company on Shakespeare...
https://www.thegreatcourses.com/courses/shakespeare-comedies-histories-and-tragedies
I would think that one could find it in many libraries, through interlibrary loan or just a used copy incredibly cheap on Amazon...
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Shakespeare is one of those topics that really has been subjected to extensive public rumor and gossip.
If you take this course, the professor clearly points out, that Shakespeare's life is EXTREMELY well documented, through endless letters and original source material.
It absolutely is not true that there is controversy about whether he wrote all the plays. He wrote all the plays. I think there are detailed letters of him describing the writing work. Endless documentation.
You quote some source that Shakespeare thought Vienna was in Italy? There is absolutely no possible way, he could have made that error. None. He was a man of letters, highly educated (even if mostly self-educated) for a man in his day. He certainly knew what country all the major cities of Europe were in.
He is widely misunderstood, because he wrote with depth. And some people don't want to entertain ideas at depth.
No, he was not anti-Semitic. That character was created to show the ignorance of people who engage in anti-Semitism.
Also, you know, this man was a genius. He was smarter than us. And not by a small amount. So, our own ability to come close to understanding him is going to be limited. Because we are judging from a place that is not even close to who he was.
There are great men (and women) in history. He was one.
People, including historians just love, love, love to throw mud on great figures and try to force them down to our level.
Sometimes, they are not on our level, but many steps beyond.