•  6
    Some Remarks on the Logic of Probabilistic Relevance
    with Davide Fazio
    Logic and Logical Philosophy 1-44. forthcoming.
    In this paper we deepen some aspects of the statistical approach to relevance by providing logics for the syntactical treatment of probabilistic relevance relations. Specifically, we define conservative expansions of Classical Logic endowed with a ternary connective ⇝ - indeed, a constrained material implication - whose intuitive reading is “x materially implies y and it is relevant to y under the evidence z”. In turn, this ensures the definability of a formula in three-variables R(x, z, y) whic…Read more
  •  54
    Uncertainty from philosophical and mathematical point of view
    with F. Eugeni and D. Pelusi
    Cultura 3 (2): 17-23. 2006.
    All logic instruments and tools in possession of, and used by researchers are generally considered as the results of bivalent logic. A common error to people interested in science is that, usually, they don’t known with certainty which things are true and which are false. But they are sure that things are true or false. No ways in the middle. The fuzzy principle asserts that this is completely a question of measure. Fuzziness is the opposite concept to bivalency, while fuzzy quality means polyva…Read more