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*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence
 
*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence
 
*controversy about proof by contradiction
 
*controversy about proof by contradiction
 +
*17 different ways to prove that there are an infinite number of primes
 
*[[transcendental]] numbers - how do we know they exist?
 
*[[transcendental]] numbers - how do we know they exist?
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Goldbach's Conjecture and Fermat's Last Theorem
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