Ad infinitum是拉丁文常用短語,意「無限」、「永遠」。
描述
在上下文中通常意味「永遠繼續、沒有限制」,可描述一永不終止的過程、一永不終止的重複過程、一永遠重複的指令。類似於短語et cetera。
例子包括:「1, 2, 3, ... continues(繼續) ad infinitum.」
- "The perimeter of a fractal may be iteratively drawn ad infinitum."
The 17th-century writer Jonathan Swift incorporated the idea of self-similarity in the following lines from his satirical poem On Poetry: a Rhapsody (1733):
The vermin only teaze and pinch
Their foes superior by an inch.
So, naturalists observe, a flea
Has smaller fleas that on him prey;
And these have smaller still to bite 'em,
And so proceed ad infinitum.
Thus every poet, in his kind,
Is bit by him that comes behind[1]
The mathematician Augustus De Morgan included similar lines in his rhyme
Siphonaptera.
[2] 參見
- 無限
- 數學歸納法
- 遞歸
- 拉丁語對英語的影響(英语:Latin influence in English)
- 拉丁主義(英语:Latinism)
- 拉丁語法律術語列表
- 希臘語短語列表(英语:List of Greek phrases)
- 英語的希臘語及拉丁語詞根列表(英语:List of Greek and Latin roots in English)
- 帶有英語衍生詞的拉丁詞列表(英语:List of Latin words with English derivatives)
參考
- ^ Swift, Jonathan. On Poetry: a Rhapsody. 1733 [14 December 2017]. (原始内容存档于2022-01-21).
- ^ De Morgan, Augustus. Smith, David Eugene , 编. A Budget of Paradoxes II 2nd. 1915: 191 [2023-01-08]. (原始内容存档于2022-05-11).
外部鏈接
- 维基词典中的词条「Ad infinitum」
無限 ∞ |
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| 歷史 | - 康托爾悖論
- Controversy over Cantor's theory(英语:Controversy over Cantor's theory)
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| 數學分支 | - Internal set theory(英语:Internal set theory)
- Nonstandard analysis(英语:Nonstandard analysis)
- 集合論
- Synthetic differential geometry(英语:Synthetic differential geometry)
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| 形式化 | - Cardinal number(英语:Cardinal number)s
- Hyperreal number(英语:Hyperreal number)s
- Ordinal number(英语:Ordinal number)s
- 超現實數
- Transfinite number(英语:Transfinite number)s
- Infinitesimal(英语:Infinitesimal)
- Absolute Infinite(英语:Absolute Infinite)
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| 數學家 | |
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