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Examples include: "The sequence 1, 2, 3, ... continues 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):
An argument which does not seem to have such a beginning becomes difficult to imagine. If it can be established, separately, that the chain must have a start, then a reductio ad infinitum is a valid refutation technique. reformatio in peius: change to worse: A decision from a court of appeal is amended to a worse one.
ad mortem: to/at death: Medical phrase serving as a synonym for death ad multos annos: to many years: Wish for a long life; similar to "many happy returns". ad nauseam: to sickness: i.e., "to the point of disgust". Sometimes used as a humorous alternative to ad infinitum.
In the Republic, Book X, Plato discusses forms by using real things, such as a bed, for example, and calls each way a bed has been made a "bedness". He commences with the original form of a bed, one of a variety of ways a bed may have been constructed by a craftsman and compares that form with an ideal form of a bed, of a perfect archetype or image in the form of which beds ought to be made ...
The following is a sample of books for further reading, selected for a combination of content, ease of access via the internet, and to provide an indication of published sources that interested readers may review. The titles of some books are self-explanatory.
The Vermin only teaze and pinch Their Foes superior by an Inch. So, Nat'ralists observe, a Flea Hath smaller Fleas that on him prey, And these have smaller yet to bite 'em, And so proceed ad infinitum:
Zeno's arguments may then be early examples of a method of proof called reductio ad absurdum, also known as proof by contradiction. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one."
Lyric Essay is a literary hybrid that combines elements of poetry, essay, and memoir. [1] The lyric essay is a relatively new form of creative nonfiction. John D’Agata and Deborah Tall published a definition of the lyric essay in the Seneca Review in 1997: "The lyric essay takes from the prose poem in its density and shapeliness, its distillation of ideas and musicality of language."