Adams p-entailment provides a probabilistic extension of sentential logical consequence to simple indicative conditionals. Adams approach, taken together with David Lewis’ Triviality Results, supports the view that indicative conditionals of the form p ⇒ q lack any truth-value (NTV thesis). In this paper, by providing a new partial modal semantics for sentential logic that encompasses Adams Logic, both the NTV thesis and the opposite view (according to which indicative conditionals always bear a truth-value) are questioned. Moreover, since every probability function P defined on the underlying algebraic structure satisfies the equation P(p ⇒ q) = P(q |p) whenever P(p) > 0, Lewis’ Triviality Results are also challenged.

A Partial Modal Semantics for the Adams Logic of Indicative Conditionals / Mura, Alberto Mario. - (2011), pp. 53-53. (Intervento presentato al convegno 14th International Congress of Logic, Methodology and Philosophy of Science tenutosi a Nancy nel July 19–26, 2011 (France)).

### A Partial Modal Semantics for the Adams Logic of Indicative Conditionals

#### Abstract

Adams p-entailment provides a probabilistic extension of sentential logical consequence to simple indicative conditionals. Adams approach, taken together with David Lewis’ Triviality Results, supports the view that indicative conditionals of the form p ⇒ q lack any truth-value (NTV thesis). In this paper, by providing a new partial modal semantics for sentential logic that encompasses Adams Logic, both the NTV thesis and the opposite view (according to which indicative conditionals always bear a truth-value) are questioned. Moreover, since every probability function P defined on the underlying algebraic structure satisfies the equation P(p ⇒ q) = P(q |p) whenever P(p) > 0, Lewis’ Triviality Results are also challenged.
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2011
A Partial Modal Semantics for the Adams Logic of Indicative Conditionals / Mura, Alberto Mario. - (2011), pp. 53-53. (Intervento presentato al convegno 14th International Congress of Logic, Methodology and Philosophy of Science tenutosi a Nancy nel July 19–26, 2011 (France)).
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11388/54167`
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