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arxiv: 1408.3901 · v2 · pith:NQZ2X3ZDnew · submitted 2014-08-18 · 🧮 math.LO

A countable definable set of reals containing no definable elements

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keywords containingcountabledefinablerealsdefineelementsfiniteforcing
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We make use of a finite support product of Jensen forcing to define a model in which there is a countable non-empty lightface $\Pi^1_2$ set of reals containing no ordinal-definable real.

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