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Some principles weaker than Markov’s principle

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Abstract

We systematically study several principles and give a principle which is weaker than disjunctive Markov’s principle (MP∨). We also show that the principle is underivable and strictly weaker than MP∨ in certain extensions of the system EL of elementary analysis.

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Authors and Affiliations

  1. School of Information Science, Japan Advanced Institute of Science and Technology, Nomi Ishikawa, 923-1292, Japan

    Makoto Fujiwara, Hajime Ishihara & Takako Nemoto

Authors
  1. Makoto Fujiwara
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  2. Hajime Ishihara
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  3. Takako Nemoto
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Correspondence to Hajime Ishihara.

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Fujiwara, M., Ishihara, H. & Nemoto, T. Some principles weaker than Markov’s principle. Arch. Math. Logic 54, 861–870 (2015). https://doi.org/10.1007/s00153-015-0444-9

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  • DOI: https://doi.org/10.1007/s00153-015-0444-9

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