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I Exist Therefore I Am—Existence Proofs

Lecture no. 14 from the course: Prove It: The Art of Mathematical Argument

I Exist Therefore I Am—Existence Proofs

Taught by Professor Bruce H. Edwards | 31 min | Categories: The Great Courses Plus Online Mathematics Courses

Analyze existence proofs, which show that a mathematical object must exist, even if the actual object remains unknown. Close with an elegant and subtle argument proving that there exists an irrational number raised to an irrational power, and the result is a rational number.