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*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence, [[infinite descent]]
 
*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence, [[infinite descent]]
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*defining [[integer]]s
+
*defining and redefining key concepts: [[integer]]s, [[infinity]], [[prime number]]s
 
*controversy about proof by contradiction
 
*controversy about proof by contradiction
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*17 different ways to prove that there are an infinite number of primes
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*17 different ways to prove that there are an infinite number of [[prime number]]s
 
*[[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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