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*controversy about proof by contradiction
 
*controversy about proof by contradiction
 
*17 different ways to prove that there are an infinite number of [[prime number]]s
 
*17 different ways to prove that there are an infinite number of [[prime number]]s
*[[transcendental]] numbers - how do we know they exist?
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*[[transcendental numbers]] - how do we know they exist?
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
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