Mass Problems and Intuitionism

Stephen G. Simpson

doi:10.1215/00294527-2008-002

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Home > Journals > Notre Dame J. Formal Logic > Volume 49 > Issue 2 > Article

2008 Mass Problems and Intuitionism

Stephen G. Simpson

Notre Dame J. Formal Logic 49(2): 127-136 (2008). DOI: 10.1215/00294527-2008-002

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Abstract

Let $\mathcal{P}_w$ be the lattice of Muchnik degrees of nonempty $\Pi^0_1$ subsets of $2^\omega$ . The lattice $\mathcal{P}$ has been studied extensively in previous publications. In this note we prove that the lattice $\mathcal{P}$ is not Brouwerian.