Yes, one example of a paradox involving mathematical sets is Russell's Paradox. Russell's Paradox states that there is a set that contains all sets that do not contain themselves. In other words, consider the set R of all sets that do not contain themselves. If R contains itself, then it does not contain itself (because it is one of the sets it contains), but if R does not contain itself, then it does contain itself (because it is a set that does not contain itself). This leads to a contradiction and is an example of a paradox in the realm of mathematical sets.
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