Argumenta – Journal of Analytic Philosophy


On Compound and Iterated Conditionals [Special Issue]

Issue: Issue 12 • Author/s: Angelo Gilio, Giuseppe Sanfilippo
Topics: Epistemology, Metaphysics, Philosophical logic, Philosophy of science

We illustrate the notions of compound and iterated conditionals introduced, in recent papers, as suitable conditional random quantities, in the framework of coherence. We motivate our definitions by examining some concrete examples. Our logical operations among conditional events satisfy the basic probabilistic properties valid for unconditional events. We show that some, intuitively acceptable, compound sentences on conditionals can be analyzed in a rigorous way in terms of suitable iterated conditionals. We discuss the Import-Export principle, which is not valid in our approach, by also examining the inference from a material…