article · Mathematical logic quarterly · 1997

Strongly Amorphous Sets and Dual Dedekind Infinity

Cited by 6Abstract and details only

Abstract

Abstract 1. If A is strongly amorphous (i.e., all relations on A are definable), then its power set P(A) is dually Dedekind infinite, i. e., every function from P(A) onto P(A) is injective. 2. The class of “inexhaustible” sets is not closed under supersets unless AC holds.

Cite this paper

APA 7

Goldstern, M. (1997). Strongly Amorphous Sets and Dual Dedekind Infinity. Mathematical logic quarterly, 43(1), 39–44. https://doi.org/10.1002/malq.19970430105

MLA 9

Goldstern, Martin. “Strongly Amorphous Sets and Dual Dedekind Infinity.” Mathematical logic quarterly, vol. 43, no. 1, 1997, pp. 39–44, https://doi.org/10.1002/malq.19970430105.

Chicago

Goldstern, Martin. 1997. “Strongly Amorphous Sets and Dual Dedekind Infinity.” Mathematical logic quarterly 43 (1): 39–44. https://doi.org/10.1002/malq.19970430105.

Harvard

Goldstern, M. (1997) ‘Strongly Amorphous Sets and Dual Dedekind Infinity’, Mathematical logic quarterly, 43(1), pp. 39–44. Available at: https://doi.org/10.1002/malq.19970430105.

BibTeX

@article{goldstern1997strongly,
  title = {{Strongly Amorphous Sets and Dual Dedekind Infinity}},
  author = {Goldstern, Martin},
  journal = {Mathematical logic quarterly},
  volume = {43},
  number = {1},
  pages = {39--44},
  year = {1997},
  doi = {10.1002/malq.19970430105}
}

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