Complex, dual and double numbers

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        In a personal communication N. Hellerstein tells me that another
      
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        way of looking at this is to see the diamond logic as analogous to the
      
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        "dual numbers" rather than the complex numbers. See
      
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        http://math.hyperjeff.net/hypercomplex/1st_order.html 
      
      
        Note that the
      
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        difference between complex, dual and double numbers is whether the
      
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        square root is equal to -1, 0 or 1. Note that this relation to the
      
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        Complex Numbers produces an image of the Dissipative Special
      
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        System. See "Reflexive Autopoietic Special Systems Theory" by the
      
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        author at 
      
      
        http://archonic.net
      
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        Systems Theory" by the author at 
      
      
        http://archonic.ne
      
      
        t. 
      
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