Synthese 181 (2):295-315 (
2011)
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Abstract
In the fourteenth century, Duns Scotus suggested that the proper
analysis of modality required not just moments of time but also “moments of
nature”. In making this suggestion, he broke with an influential view first presented
by Diodorus in the early Hellenistic period, and might even be said to have been
the inventor of “possible worlds”. In this essay we take Scotus’ suggestion seriously
devising first a double-index logic and then introducing the temporal order. Finally,
using the temporal order, we define a modal order. This allows us to present modal
logic without the usual interpretive questions arising concerning the relation called
variously ‘accessibility’, ‘alternativeness’, and, ‘relative possibility.’ The system in
which this analysis is done is one of those which have come to be called a hybrid
logic.