Ad infinitum

Ad infinitum是拉丁文常用短語，意「無限」、永無止境

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

The mathematician Augustus De Morgan included similar lines in his rhyme Siphonaptera.

參見

• 無限
• 數學歸納法
• 遞歸

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