Cantor normal form: Revision history

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24 March 2024

11 July 2023

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19 September 2022

  • curprev 19:3619:36, 19 September 2022EricABQ talk contribs 520 bytes +520 Created page with "'''Cantor normal form''' is a standard form of writing ordinals. Every ordinal \( \alpha \) can be written uniquely as \( \omega^{\beta_1} + \omega^{\beta_2} + \dots + \omega^{\beta_k} \), where \( \beta_1 \ge \beta_2 \ge \dots \ge \beta_k \) and \( k \ge 0 \) is an integer. When \( \alpha \) is smaller than \( \varepsilon_0 \), the exponents \( \beta_1 \) through \( \beta_k \) are all smaller than \( \alpha \). Thus, Cantor normal form can be iterated to form a notatio..."