Editing 2319: Large Number Formats
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| {∅,{∅},{∅,{∅}},{∅,{∅},{... | | {∅,{∅},{∅,{∅}},{∅,{∅},{... | ||
| Set theorist | | Set theorist | ||
− | | | + | | In {{w|Zermelo–Fraenkel set theory}}, the natural numbers are defined recursively by letting 0 = ∅ (the {{w|empty set}}), and ''n'' + 1 = ''n'' ∪ {''n''}. So, every natural number ''n'' is the set of all natural numbers less than ''n'', and since 0 is defined as the empty set, all numbers are nested sets of empty sets. Note that writing out a number in this form requires an exponential number of characters - that is, ''n'' + 1 requires over twice the characters as ''n'' does to write out. Thus, this method could not be finished, as it would require more data to be stored than there is matter in the universe to store it. |
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| 1,262,998,704,860 score and four | | 1,262,998,704,860 score and four |