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Conservapedia:Critical Thinking in Math (view source)

Revision as of 01:14, August 31, 2007

131 bytes added ,  01:14, August 31, 2007
→‎Draft Curriculum: added topics
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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
 
*[[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
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 +
*Problems solved only with proof-by-contradiction: always a prime between n and 2n (n>2)
 
*perfect numbers
 
*perfect numbers
 
*[[additive factoring]]
 
*[[additive factoring]]
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