Ad infinitum

Ad infinitum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.」


已隱藏部分未翻譯内容,歡迎參與翻譯
  • "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

  1. ^ Swift, Jonathan. On Poetry: a Rhapsody. 1733 [14 December 2017]. (原始内容存档于2022-01-21). 
  2. ^ 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

無限
歷史
  • 康托爾悖論
  • Controversy over Cantor's theory英语Controversy over Cantor's theory
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
形式化
  • Cardinal number英语Cardinal numbers
  • Hyperreal number英语Hyperreal numbers
  • Ordinal number英语Ordinal numbers
  • 超現實數
  • Transfinite number英语Transfinite numbers
  • Infinitesimal英语Infinitesimal
  • Absolute Infinite英语Absolute Infinite
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