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As all models share the same axiom (formula (I) below) except for the Scotist one, I only need to distinguish two models for modal logic in this article: the |Aristotelian' and the Scotist.(7) The latter is also called the synchronical model,(8) while the former is called the statistical model.(9) The difference between these models can best be shown by the answer they give to the following question:
The characteristic formula for the synchronical model is:
It is clear from the foregoing that the model of Arminius' modal logic cannot be said to be the synchronical one.
He suggests a kind of epistemological indeterminism on the human side, which does not loosen the ties of metaphysical determinism and leads to further incoherences.(63) There is hardly a sign of emancipation towards a synchronical model.