carnap.nb - In[1]:= << PrSAT`...

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Unformatted text preview: In[1]:= << PrSAT` Carnap's Early Systems: and * Here is the distribution, for the 2 prediate, 2 object case: In[2]:= Symbolize A 2,2 E ; In[3]:= 2,2 = PrSAT B: Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 , Pr @ Ea Ga Eb Gb D == 1 16 >F Out[3]= :8 Ea 8 2 , 6 , 7 , 8 , 12 , 13 , 14 , 16 < , Eb 8 3 , 6 , 9 , 10 , 12 , 13 , 15 , 16 < , Ga 8 4 , 7 , 9 , 11 , 12 , 14 , 15 , 16 < , Gb 8 5 , 8 , 10 , 11 , 13 , 14 , 15 , 16 < , W 8 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 << , : 1 1 16 , 2 1 16 , 3 1 16 , 4 1 16 , 5 1 16 , 6 1 16 , 7 1 16 , 8 1 16 , 9 1 16 , 10 1 16 , 11 1 16 , 12 1 16 , 13 1 16 , 14 1 16 , 15 1 16 , 16 1 16 >> In[4]:= TruthTable A 2,2 E Out[4]//DisplayForm= Ea Eb Ga Gb var Pr T T T T 16 1 16 T T T F 12 1 16 T T F T 13 1 16 T T F F 6 1 16 T F T T 14 1 16 T F T F 7 1 16 T F F T 8 1 16 T F F F 2 1 16 F T T T 15 1 16 F T T F 9 1 16 F T F T 10 1 16 F T F F 3 1 16 F F T T 11 1 16 F F T F 4 1 16 F F F T 5 1 16 F F F F 1 1 16 Here are some salient Eacts about : In[5]:= x _ y _ : = x y; x _ y _ : = H x y L H y x L ; In[7]:= EvaluateProbability A Pr @H Ea Ga L H Eb Gb LD , 2,2 E N Out[7]= 0.5625 In[8]:= EvaluateProbability A Pr @ Eb Gb D , 2,2 E N Out[8]= 0.25 In[9]:= EvaluateProbability A Pr @ Gb Ea Ga D , 2,2 E N Out[9]= 0.5 In[10]:= EvaluateProbability A Pr @ Gb Ea Ga D , 2,2 E N Out[10]= 0.5 In[11]:= EvaluateProbability A Pr @ Gb D , 2,2 E N Out[11]= 0.5 In[12]:= EvaluateProbability A Pr @ Eb Gb D , 2,2 E N Out[12]= 0.5 In[13]:= EvaluateProbability A Pr @ Eb Gb Ea Ga D , 2,2 E N Out[13]= 0.5 In[14]:= EvaluateProbability A Pr @ Eb Gb Ea Ga D , 2,2 E N Out[14]= 0.5 2 In[4]:= TruthTable A 2,2 E Out[4]//DisplayForm= Ea Eb Ga Gb var Pr T T T T 16 1 16 T T T F 12 1 16 T T F T 13 1 16...
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carnap.nb - In[1]:= << PrSAT`...

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