Gödel’s Incompleteness Theorems are a pair of groundbreaking results in mathematical logic, established by the Austrian mathematician Kurt Gödel in the early 20th century. Gödel’s work shook the foundations of mathematical logic and has had a profound impact on the philosophy of mathematics. His theorems demonstrate that, in any consistent and powerful mathematical system, there will always be truths that lie beyond the reach of formal proof within that system.
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