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Why is “The present king of France is bald” false rather than meaningless in Russell’s theory?

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Austrian postage stamp featuring a portrait of philosopher Ludwig Wittgenstein, with German text above and below, and a denomination of 5 schillings. — Philosophy of language An Austrian stamp depicting Ludwig Wittgenstein.

In Bertrand Russell’s theory of descriptions, the sentence “The present king of France is bald” is considered false rather than meaningless because it is analyzed as an existentially quantified assertion rather than a statement about a specific object.12

Russell argued that a definite description like “the present king of France” does not function as a singular term that must refer to an existing entity to be meaningful. Instead, the sentence is understood as a conjunction of three distinct claims:2
* There exists at least one individual who is the king of France.
* There exists at most one individual who is the king of France.
* That individual is bald.2

Because there is no present king of France, the first condition is not met, rendering the entire conjunction false. By treating the description as a quantifier, Russell avoids the need for a referent, allowing the sentence to possess a clear logical structure and truth value without being nonsensical. This approach contrasts with later views, such as those of Sir Peter Strawson, who argued that such sentences are neither true nor false because they fail to meet a necessary presupposition.23