Paradoxes in Mathematics

Paradoxes in mathematics are statements or problems that lead to seemingly contradictory or illogical conclusions. This occurs when assumptions or definitions used in reasoning conflict with each other. For example, the famous "liar's paradox" occurs when someone says, "I am lying," creating a loop of truth that cannot be resolved. In logic, paradoxes challenge our understanding of concepts like truth, infinity, or set theory. They are important because they help mathematicians and logicians refine their theories and clarify the foundations of mathematics, revealing deeper insights into the nature of reasoning itself.