Originally Posted by Bostonian
The University of Chicago has taken a stand for free speech and thought:
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In 2015, faculty members issued the widely admired Report by the Committee on Freedom of Expression, a statement that later served as a model for policies adopted at Purdue, Princeton, Columbia, and other major universities.
Here is a link to the University of Chicago's aforementioned Report by the Committee on Freedom of Expression, which is easily found online. It contains a number of interesting thoughts.

Originally Posted by puffin
Does the US have laws the limit free speech when it is likely to cause harm eg. Provoking racial hatred etc?
Wikipedia has an entry on "hate speech", with a section discussing US Supreme Court case law. As a separate issue from legal matters, in a "court of public opinion", there is generally little tolerance for "hate speech"... that is to say, most people would tend to avoid it, and those engaging in it.