| In this latter book she presented a 30 page appendix on the theory of infinite cardinals and ordinals. |
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| In 1907 he introduced special types of ordinals in an attempt to prove Cantor's continuum hypothesis. |
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| Form numbers are conceived as ordinals, with units conceived as being well ordered. |
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| In Sweden, the practice is not consistent, as Sigismund and Adolf Frederick never have ordinals, whereas Frederick I often does. |
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| Other monarchies assign ordinals to monarchs even if they are the only ones of their name. |
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| For instance, ordinals 21 and 22, Ishmael and Isaac, are both sons of Abram, ordinal 20, and thus redundant. |
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| While reigning monarchs use ordinals, ordinals are not used for royal female consorts. |
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| These include Euro and Yen symbols, superscript and subscript numerals, Spanish ordinals and several combining accents. |
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| Ordinals for monarchs before the 13th century are anachronisms, as are also ordinals for almost all later medieval monarchs. |
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| Having solved the open problem posed by Davenport on writing numbers as the sums of fifth powers, Conway began to become interested in infinite ordinals. |
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| Almost all monarchs and popes after mediaeval times have used ordinals. |
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| As a rule of thumb, medieval European monarchs did not use ordinals at their own time, and those who used were rarities and even their use was sporadic. |
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| Popes were apparently the first to assume official ordinals for their reigns, although this occurred only in the last centuries of the Middle Ages. |
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| In the case of personal unions, one king has often have more than one ordinal, because he has had different ordinals in the different realms where he reigns. |
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| Numbers were written in Arabic numerals, in small case Roman numerals, or spelled out using Ordinals in preference to Cardinals. |
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