| 1. | In other languages, different ordinal indicators are used to write ordinal numbers.
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| 2. | Ordinal numbers are then introduced as the order types of well-ordered sets.
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| 3. | Curiously, although not unprecedentedly, the language has no cardinal or ordinal numbers.
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| 4. | \omega + 1 is the next ordinal number greater than \ omega.
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| 5. | The " Burali-Forti paradox " of the largest ordinal number goes as follows.
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| 6. | He invented set theory, which has become a ordinal numbers and their arithmetic.
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| 7. | Every countably infinite compact is homeomorphic to some closed interval of ordinal numbers
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| 8. | In certain situations the word order in expressing the ordinal number is reversed.
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| 9. | Cantor then defines the addition and multiplication of the cardinal and ordinal numbers.
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| 10. | The cardinality of any infinite ordinal number is an aleph number.
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