I'm fairly convinced by now that the chart doesn't represent oppositions, but a network of related magical systems based on the 4 basic magical types. In fact, there is all type of possible combinations here generating different magical cultures:
This means (if my arytmethical skill doesn't fumble) 15 possible combinations.
If we had different degrees of importance of each magical system within a given culture (say, for Polythiests Theism is dominant, Spiritualism is secondary, Mysticism is marginal, and Mundanism/Materialism is not present) the number of possible combinations grows exponentially (if my mathematical skill doesn't fumble).
Can I spell Ouroboros?
Sergio
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