Studia Logica 49 (1):87 - 104 (1990)
|Abstract||Three views on definite descriptions are summarized and discussed, including that of P. F. Strawson in which reference failure results in lack of truth value. When reference failure is allowed, a problem arises concerning Universal Instantiation. Van Fraassen solves the problem by the use of supervaluations, preserving as well such theorems as a=a, and Fa Fa, even when the term a fails to refer. In the present paper a form of relevant, quasi-analytic implication is set out which allows reference failure to infect even a=a and Fa Fa with lack of truth-value. Reference failure causes lack of truth-value in a subwff to spread throughout any wff built up by the classical connectives. As a result none of the classical firstorder axiom schemes remain as axiom schemes in the system presented.|
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