Publicado

1971-01-01

Algorithmic representation of wermus' constructions of ordinal numbers

Palabras clave:

Wermus, ordinal numbers, natural numbers, constructive algorithm, (es)

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Autores/as

  • Hartwig Fuchs

In his paper [3] Wermus defines ordinal numbers as "Z - symbols" of the form [a1n ..., ak   κ, ≥ 1 and [a1] , where the aj, 1≤ j, ≤ κ, are natural numbers or  Z -symbols. It wi II be demonstrated that Wermus' constructions can be described by means of a special Neumer algorithm, the constructive algorithm of [1], part I and V resp. a descriptive algorithm of  [2], part III ; more precisely:  that there can be established a 1-1 correspondence between Z- symbolsi [a1n ..., ak ] and algorithmic symbols T[a1n ..., ak ] such that [a1n ..., ak ] and T[a1n ..., ak ] represent  the same ordinal number. This comparision of the two systems further allows the determination of the least ordinal number which is inaccesible by Wermus' constructions in [3].

Cómo citar

APA

Fuchs, H. (1971). Algorithmic representation of wermus’ constructions of ordinal numbers. Revista Colombiana de Matemáticas, 5(1), 10–16. https://revistas.unal.edu.co/index.php/recolma/article/view/31776

ACM

[1]
Fuchs, H. 1971. Algorithmic representation of wermus’ constructions of ordinal numbers. Revista Colombiana de Matemáticas. 5, 1 (ene. 1971), 10–16.

ACS

(1)
Fuchs, H. Algorithmic representation of wermus’ constructions of ordinal numbers. rev.colomb.mat 1971, 5, 10-16.

ABNT

FUCHS, H. Algorithmic representation of wermus’ constructions of ordinal numbers. Revista Colombiana de Matemáticas, [S. l.], v. 5, n. 1, p. 10–16, 1971. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/31776. Acesso em: 10 mar. 2025.

Chicago

Fuchs, Hartwig. 1971. «Algorithmic representation of wermus’ constructions of ordinal numbers». Revista Colombiana De Matemáticas 5 (1):10-16. https://revistas.unal.edu.co/index.php/recolma/article/view/31776.

Harvard

Fuchs, H. (1971) «Algorithmic representation of wermus’ constructions of ordinal numbers», Revista Colombiana de Matemáticas, 5(1), pp. 10–16. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/31776 (Accedido: 10 marzo 2025).

IEEE

[1]
H. Fuchs, «Algorithmic representation of wermus’ constructions of ordinal numbers», rev.colomb.mat, vol. 5, n.º 1, pp. 10–16, ene. 1971.

MLA

Fuchs, H. «Algorithmic representation of wermus’ constructions of ordinal numbers». Revista Colombiana de Matemáticas, vol. 5, n.º 1, enero de 1971, pp. 10-16, https://revistas.unal.edu.co/index.php/recolma/article/view/31776.

Turabian

Fuchs, Hartwig. «Algorithmic representation of wermus’ constructions of ordinal numbers». Revista Colombiana de Matemáticas 5, no. 1 (enero 1, 1971): 10–16. Accedido marzo 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/31776.

Vancouver

1.
Fuchs H. Algorithmic representation of wermus’ constructions of ordinal numbers. rev.colomb.mat [Internet]. 1 de enero de 1971 [citado 10 de marzo de 2025];5(1):10-6. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/31776

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