Intuition often fails when dealing with infinite collections or spaces. [2304.01359] Some paradoxes of Infinity revisited - arXiv
These paradoxes challenge the very core of mathematical logic and sets. Paradoxes in Mathematics
: A semantic paradox based on the statement "This sentence is false," which is true only if it is false, and vice versa. Intuition often fails when dealing with infinite collections
: Discovered by Bertrand Russell in 1901, it shows that "the set of all sets that do not contain themselves" leads to a logical contradiction. Paradoxes in Mathematics