article · Zenodo (CERN European Organization for Nuclear Research) · 2022

Power Set of Natural Numbers is Countable

Sharma, Sonia

Cited by 0Open access

Abstract

This paper explains the Cardinality of the Power Set of Natural numbers. Set of Natural numbers is countable, in the same way the power set of Natural numbers is also countable as every subset of the Power set of Natural numbers is Countable. Prime numbers and Well ordering Principle play a very important role in proving this result. Since every Subset of Natural numbers is Countable, there exists a bijection between the Power Set of Natural numbers and a proper subset of Natural numbers.

Cite this paper

APA 7

Sharma, S. (2022). Power Set of Natural Numbers is Countable. Zenodo (CERN European Organization for Nuclear Research). https://doi.org/10.5281/zenodo.6463281

MLA 9

Sharma, Sonia. “Power Set of Natural Numbers is Countable.” Zenodo (CERN European Organization for Nuclear Research), 2022, https://doi.org/10.5281/zenodo.6463281.

Chicago

Sharma, Sonia. 2022. “Power Set of Natural Numbers is Countable.” Zenodo (CERN European Organization for Nuclear Research). https://doi.org/10.5281/zenodo.6463281.

Harvard

Sharma, S. (2022) ‘Power Set of Natural Numbers is Countable’, Zenodo (CERN European Organization for Nuclear Research). Available at: https://doi.org/10.5281/zenodo.6463281.

BibTeX

@article{sharma2022power,
  title = {{Power Set of Natural Numbers is Countable}},
  author = {Sharma, Sonia},
  journal = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2022},
  doi = {10.5281/zenodo.6463281}
}

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