Old Foundations for the Logic of Agency and Action

Studia Logica 72 (3):313 - 338 (2002)
Abstract
The paper presents an infinite hierarchy of sound and complete axiomatic systems for Two-Dimensional Modal Tense Logic with Historical Necessity, Agents and Acts. A main novelty of these logics is their capacity to represent formally (i) basic action-sentences asserting that such and such an act is performed/omitted by an agent, as well as (ii) causative action-sentences asserting that by performing/omitting a certain act, an agent causes that such and such a state-of-affairs is realized (e.g. comes about/ceases/remains/remains absent). We illustrate how the formal machinery of our systems can be used to reconstruct a number of interesting ideas in the Logic of Agency and Action that have been proposed by authors like von Wright, von Kutschera, Belnap and Segerberg.
Keywords Basic action-sentences vs. Causative ones  Individual vs. Generic acts  Performance vs. Omission of acts  Historical Necessitation (of effects by causes)  Historical Avoidability (of effects relative to causes)  BEWIRKEN theory  STIT theory  Coming About vs. Ceasing vs. Remaining vs. Remaining-Absent of states-of-affairs  Dynamic Logic
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