Russell analyzes 'The present king of France is bald' as false rather than truth-valueless. How does his theory achieve this?
Think about your answer, then reveal below.
Model answer: Russell treats 'The present king of France' not as a genuine referring expression but as a description that can be paraphrased into a quantified formula: 'There exists exactly one thing that is currently king of France, and that thing is bald.' This complex existential statement is simply false, because the existential claim (there is a present king of France) fails. By eliminating the description in favor of quantifiers, Russell avoids the assumption that a singular term must refer for the sentence to have a truth value.
This is the core move in Russell's theory of descriptions: definite descriptions are 'incomplete symbols' that disappear on logical analysis. The surface grammar suggests a subject-predicate form, but the logical form is existential. This preserves classical bivalence — every proposition is true or false — while explaining why sentences about non-existent things can be meaningfully evaluated.
Question 2 Multiple Choice
A direct reference theorist faces a harder problem with empty names than a Fregean does. Why?
ABecause direct reference theorists deny that names have any meaning at all
BBecause if a name's only semantic contribution is its referent, an empty name contributes nothing, leaving no proposition expressed
CBecause Fregean sense is always available to fill the gap left by a missing referent
DBecause direct reference theorists do not allow fictional names in their semantic theory
Direct reference theory holds that names are 'rigid designators' that contribute their referent directly to propositional content — there is no Fregean sense or descriptive backing to serve as a fallback. When the referent is absent, there is nothing for the name to contribute, and the sentence fails to express a proposition. Fregeans have a built-in resource (sense) that can do semantic work even when reference fails, allowing the sentence to have content even if it lacks a truth value. Direct reference theorists must find another solution — pretense, Meinongianism, or abstract artifact theories — precisely because their view denies the availability of Fregean sense.