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, 10:45, 18 August 2009
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| ==Propositional Equation Reasoning Systems== | | ==Propositional Equation Reasoning Systems== |
| + | |
| + | ===Analysis of contingent propositions=== |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellpadding="10" |
| + | | [[Image:Logical Graph (P (Q)) (P (R)).jpg|500px]] || (26) |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellpadding="8" style="text-align:center" |
| + | | [[Image:Venn Diagram (P (Q)) (P (R)).jpg|500px]] || (27) |
| + | |- |
| + | | <math>\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q \texttt{))~(} p \texttt{~(} r \texttt{))}</math> |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellpadding="8" style="text-align:center" |
| + | | [[Image:Venn Diagram (P (Q R)).jpg|500px]] || (28) |
| + | |- |
| + | | <math>\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q ~ r \texttt{))}</math> |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellpadding="10" |
| + | | [[Image:Logical Graph (P (Q)) (P (R)) = (P (Q R)).jpg|500px]] || (29) |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellpadding="10" |
| + | | [[Image:Logical Graph (P (Q)) (P (R)) = (P (Q R)) Proof 1.jpg|500px]] |
| + | | (30) |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellpadding="10" |
| + | | [[Image:Logical Graph (P (Q)) (P (R)) = (P (Q R)) Proof 2a Alt.jpg|500px]] |
| + | | (31) |
| + | |} |
| + | |
| + | <br> |