Detail publikace

Walking diagonally: a simple proof of countability of the set of all finite subsets of naturals

KUREŠ, M.

Anglický název

Walking diagonally: a simple proof of countability of the set of all finite subsets of naturals

Typ

článek v časopise - ostatní, Jost

Jazyk

en

Originální abstrakt

The countability of the set of finite subsets of natural numbers is derived. In addition to the derivation itself, the use of diagonal method is illustratively presented; thinking about infinite sets relates to the name of Georg Ferdinand Ludwig Philipp Cantor, the creator of set theory, which has become a fundamental theory in mathematics. The proof of the claim is original, although the theorem is an analogy with the famous theorem about the countability of rational numbers. A certain insight into the subsets of natural numbers is given. Anyway, the technique could be considered already at high school level as it is essential for mathematical thinking.

Anglický abstrakt

The countability of the set of finite subsets of natural numbers is derived. In addition to the derivation itself, the use of diagonal method is illustratively presented; thinking about infinite sets relates to the name of Georg Ferdinand Ludwig Philipp Cantor, the creator of set theory, which has become a fundamental theory in mathematics. The proof of the claim is original, although the theorem is an analogy with the famous theorem about the countability of rational numbers. A certain insight into the subsets of natural numbers is given. Anyway, the technique could be considered already at high school level as it is essential for mathematical thinking.

Klíčová slova anglicky

Cantor’s diagonal method, finite subsets of natural numbers

Vydáno

30.12.2021

Nakladatel

Beirut Arab University Press

Místo

Beirut

ISSN

2706-784X

Ročník

3

Číslo

1

Strany od–do

1–5

Počet stran

3

BIBTEX


@article{BUT175581,
  author="Miroslav {Kureš},
  title="Walking diagonally: a simple proof of countability of the set of all finite subsets of naturals ",
  year="2021",
  volume="3",
  number="1",
  month="December",
  pages="1--5",
  publisher="Beirut Arab University Press",
  address="Beirut",
  issn="2706-784X"
}