Abstract
Several writers have assumed that when in “Outline of a Theory of Truth” I wrote that “the orthodox approach” – that is, Tarski’s account of the truth definition – admits descending chains, I was relying on a simple compactness theorem argument, and that non-standard models must result. However, I was actually relying on a paper on ‘pseudo-well-orderings’ by Harrison (Transactions of the American Mathematical Society, 131, 527–543 1968). The descending hierarchy of languages I define is a standard model. Yablo’s Paradox later emerged as a key to interpreting the result.
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