There are a couple of books I know of that deal with paradoxes of circularity. I’ve read the first one (a long time ago, so don’t ask me about the details) but not the second.
“The Liar: An Essay on Truth and Circularity” by Barwise and Etchemendy, which is all about the liar paradox, its elaborations, and attempts to resolve them.
“Vicious Circles: On the Mathematics of Non-Wellfounded Phenomena” by Barwise and Moss is more wide-ranging.
There are a couple of books I know of that deal with paradoxes of circularity. I’ve read the first one (a long time ago, so don’t ask me about the details) but not the second.
“The Liar: An Essay on Truth and Circularity” by Barwise and Etchemendy, which is all about the liar paradox, its elaborations, and attempts to resolve them.
“Vicious Circles: On the Mathematics of Non-Wellfounded Phenomena” by Barwise and Moss is more wide-ranging.