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Gödel's Incompleteness Theorem states that there are true statements that cannot be proved. This discovery led to the development of computers and other mathematical tools, and has had lasting implications for the field.

**00:00:00**The paradox at the heart of mathematics is Gödel's Incompleteness Theorem, which states that there are true statements that cannot be proved. This discovery led to the development of computers and other mathematical tools, and has had lasting implications for the field.

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