This simplest way to identify the basic interrelationships implied by the logico-graphic pattern of the fourfold cross is to abstract all content by depicting each of the two oppositions in terms of a mathematical distinction between positivity (+) and negativity (-). By stipulating that the horizontal axis is negative in comparison to the vertical axis (as represented by the first of the two terms labeling each pole) and that the top and left are positive in comparison to the bottom and right (as represented by the second of the two terms), the following "standard map" is produced:
Those who are interested in understanding this basic pattern at a deeper level should consult the links provided on the Geometry of Logic page .
Back to the home page
This page was last updated on 20 February 1996
Send comments to: StevePq@hkbu.edu.hk