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User:Jon Awbrey/GRAPHICS (view source)

Revision as of 14:00, 27 August 2009

2,599 bytes added ,  14:00, 27 August 2009
→‎Propositional Equation Reasoning Systems
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===Analysis of contingent propositions===
 
===Analysis of contingent propositions===
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| [[Image:Logical Graph (P (Q)) (P (R)).jpg|500px]] || (26)
 
| [[Image:Logical Graph (P (Q)) (P (R)).jpg|500px]] || (26)
 
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| <math>\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q \texttt{))~(} p \texttt{~(} r \texttt{))}</math>
 
| <math>\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q \texttt{))~(} p \texttt{~(} r \texttt{))}</math>
 
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| <math>\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q ~ r \texttt{))}</math>
 
| <math>\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q ~ r \texttt{))}</math>
 
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====Equation 1 : Proof 1====
    
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====Equation 1 : Proof 2====
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=====Single Image Version=====
    
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=====Serial Image Version=====
    
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| (31)
 
| (31)
 
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====Proof 3====
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====Equation 1 : Proof 3====
    
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=====Variant 2=====
 
=====Variant 2=====
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-00.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-01.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cast P.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-02.jpg|500px]]
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| [[Image:Equational Inference Bar -- Domination.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-03.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-04.jpg|500px]]
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| [[Image:Equational Inference Bar -- Emptiness.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-05.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-06.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cast Q.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-07.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-08.jpg|500px]]
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| [[Image:Equational Inference Bar -- Domination.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-09.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-10.jpg|500px]]
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| [[Image:Equational Inference Bar -- Spike.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-11.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-12.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cast R.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-13.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-14.jpg|500px]]
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| [[Image:Equational Inference Bar -- Emptiness.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-15.jpg|500px]]
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| [[Image:Equational Inference Bar -- Spike.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-16.jpg|500px]]
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| [[Image:Equational Inference Bar -- Cancellation.jpg|500px]]
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| [[Image:Proof (P (Q)) (P (R)) = (P (Q R)) 3-17.jpg|500px]]
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| [[Image:Equational Inference Bar -- QED.jpg|500px]]
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| (40)
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===Praeclarum Theorema : Proof by CAST===
    
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{| align="center" cellpadding="8"
Jon Awbrey
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