[mherrmann]

This is a great article but unfortunately has one thing horribly wrong: Democracy far preceded the Age of Enlightenment. A form of democracy was already in place in ancient Greece at around 500 BC. Newton and the Age of Enlightenment were much later, at 1600+ AD. See Wikipedia: http://en.wikipedia.org/wiki/Democracy#History, http://en.wikipedia.org/wiki/Age_of_enlightenment, http://en.wikipedia.org/wiki/Isaac_Newton.

Other than that, a great article!

[ddebernardy]

Hehe. I balked at that too...

It also states that you cannot order the field of complex numbers. Whereas I seem to recollect that there are ways to do so. For instance, z1 < z2 if x1 < x2 or x1 = x2 and y1 < y2.

[claudius]

By your definition of <, 0 < i and i^2 < 0, however, the OP requires that 0 < p AND 0 < q => 0 < p * q, which is not fulfilled by your < for p = i = q.