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a guest Mar 8th, 2018 53 Never
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  1. t
  2.    
  3. A |  B  |  
  4. ----------
  5.  f |  f  |     may be possible
  6.  f |  t  |     may be possible
  7.  t |  f  |     definitely impossible; A is true, then B must be too!
  8.  t |  t  |     may be possible
  9.    
  10. A |  B  |  A → B
  11. ------------------
  12.  f |  f  |  t
  13.  f |  t  |  t
  14.  t |  t  |  t
  15.    
  16. A |  B  |  A → B
  17. ------------------
  18.  f |  f  |  t       not this; we need A true
  19.  f |  t  |  t       not this; we need A true
  20.  t |  f  |  f       not this; we need A→B true
  21.  t |  t  |  t       possible
  22.    
  23. A |  B  |  A → B
  24. ------------------
  25.  t |  t  |  t
  26.    
  27. ->
  28.  p/q  T  N  F
  29.  T    T  N  F
  30.  N    T  T  N
  31.  F    T  T  T
  32.    
  33. ->_classical
  34. p/q T F
  35. T   T F
  36. F   T T
  37.  
  38.     ->_classical top row
  39. p/q T F
  40. p   T F
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