{
  "aliases": [
    "lusin-hypothesis",
    "lusins-hypothesis",
    "lusins-second-continuum-hypothesis",
    "luzin-hypothesis",
    "luzins-hypothesis",
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  "body": "\n## Statement\n\nThe **second continuum hypothesis**, also called **Luzin's hypothesis** or **Luzin's second continuum hypothesis**, is the hypothesis that $2^{\\aleph_0}=2^{\\aleph_1}$. It is the negation of a weakened form, $2^{\\aleph_0}\u003c2^{\\aleph_1}$, of the [[continuum hypothesis|0MN2MER9WN]] (CH). It was discussed by Nikolai Luzin in 1935, although he did not claim to be the first to postulate it.p. 157, 171p. 130-131 The statement $2^{\\aleph_0}\u003c2^{\\aleph_1}$ may also be called Luzin's hypothesis.\n",
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  "name": "Second continuum hypothesis",
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    "tag": "VR1AGNPR34",
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