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A note on the Σ1 spectrum of a theory

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Abstract.

Let T be a suitable system of classical set theory. We will show, that the Σ1 spectrum of T, i.e. the set of ordinals having good Σ1 definition in T is an initial segment of the ordinals.

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Authors and Affiliations

  1. Institut für mathematische Logik und Grundlagenforschung, Westfälische Wilhelms-Universität, Einsteinstr. 62, 48149 Münster, Germany. e-mail: mimoe@math.uni-muenster.de, , , , , , DE

    Michael Möllerfeld

  2. School of Mathematics, University of Leeds, Leeds LS2 9JT, UK. e-mail: rathjen@amsta.leeds.ac.uk, , , , , , GB

    Michael Rathjen

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  1. Michael Möllerfeld
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  2. Michael Rathjen
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Received: 11 October 1999 / Published online: 12 December 2001

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Möllerfeld, M., Rathjen, M. A note on the Σ1 spectrum of a theory. Arch. Math. Logic 41, 33–34 (2002). https://doi.org/10.1007/s001530200001

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  • DOI: https://doi.org/10.1007/s001530200001

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