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
MURA, Alberto Mario
2011-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
