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427 bytes added ,  04:38, 6 December 2008
→‎Logical Graph Sandbox: dichotomy principle
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==Logical Graph Sandbox==
 
==Logical Graph Sandbox==
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More thoughts on Peirce's law …
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===More thoughts on Peirce's law===
    
1-way version
 
1-way version
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: <math>ab \lor a = a</math>
 
: <math>ab \lor a = a</math>
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===The allegedly counterintuitive dichotomy law===
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It is usually written in this form:
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: <math>(p \Rightarrow q) \lor (q \Rightarrow p)</math>
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Written as an order law, its sense is more sensible:
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: <math>(p \le q) \lor (q \le p)</math>
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Here it is in logical graphs:
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<pre>
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      q o  o p
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        |  |
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      p o  o q
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        |  |
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        o  o
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        \ /
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          o
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          |
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          @        =        @
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</pre>
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