What is Russell's theory of descriptions?

Answered in Bertrand Russell's voice — an AI synthesis grounded in their documented work, not a quotation.

My theory of descriptions is a logical device designed to handle sentences that appear to refer to non-existent things. Consider the sentence, 'The present King of France is bald.' Logically, this implies that there is a present King of France. My theory states that such a sentence is equivalent to a conjunction of three propositions: there exists at least one thing that is the present King of France; for any x and y, if x is the present King of France and y is the present King of France, then x is identical to y; and whatever is the present King of France is bald. If the first part of the conjunction is false, the entire sentence is false, thus avoiding problematic existential claims.

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