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Find the fallacy

  1. May 26, 2006 #1
    Does it have to do with how we arrived at [tex] k+1 [/tex]?

    Thanks
     
  2. jcsd
  3. May 26, 2006 #2
    Won't work for n=2: Let G_1 and G_2 be blonde girls and le't assume the theorem is true for n=1. If, for example G_1 is blonde, we can't take G_2 to the collection with her (that would be n=2), so we can't prove that G_2 is also blonde.

    Hence the induction stops at n=1 and you'll never reach the step 3->4.

    If you were guaranteed that the theorem is true for all pairs of blonde girls and I told you that my sister is blonde and has blue eyes then, yes, all blonde girls would have blue eyes.
     
  4. May 27, 2006 #3

    Tide

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    That is a non sequitur.
     
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