Towards a Logic of Epistemic Theory of Measurement

In Gabor Bella & Paolo Bouquet (eds.), Modeling and Using Context - 11th International and Interdisciplinary Conference, {CONTEXT} 2019, Trento, Italy, November 20-22, 2019, Proceedings. Lecture Notes in Computer Science 11939. pp. 175-188 (2019)
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Abstract

We propose a logic to reason about data collected by a num- ber of measurement systems. The semantic of this logic is grounded on the epistemic theory of measurement that gives a central role to measure- ment devices and calibration. In this perspective, the lack of evidences (in the available data) for the truth or falsehood of a proposition requires the introduction of a third truth-value (the undetermined). Moreover, the data collected by a given source are here represented by means of a possible world, which provide a contextual view on the objects in the domain. We approach (possibly) conflicting data coming from different sources in a social choice theoretic fashion: we investigate viable opera- tors to aggregate data and we represent them in our logic by means of suitable (minimal) modal operators.

Author Profiles

Daniele Porello
Università degli Studi di Genova

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