Was Arthur Miller a famous playwright?
Yes, he was. He was known for plays such as The Crucible, Death of a Salesman, and A View From the Bridge.
Playwright, Arthur miller was interrogated by Senator McCarthy and the House Committee on Un-American Activities in the 1950's. While he was frank about meetings he had attended, he refused to answer questions about what other persons had attended meetings with him. The judge on the case ruled that since both questions were important to the Committee's investigation, Arthur Miller was guilty on both counts.
Shakespeare's scripts consist of the lines and a few stage directions. Miller wrote long and detailed instructions on how the set was to look, what the costumes were like and so on. Miller wanted to be the director as well as the playwright--Shakespeare left those details to the people actually producing the play.