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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):
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 ...
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.
For example, the epistemic regress is a series of beliefs in which the justification of each belief depends on the justification of the belief that comes before it. An infinite regress argument is an argument against a theory based on the fact that this theory leads to an infinite regress.
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."
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.
Ad Infinitum may also refer to: Ad Infinitum (British band) Ad Infinitum (Swiss band) Argumentum ad infinitum, another Latin phrase referring to a logical fallacy; Ad ...
Anavastha (Sanskrit: अनवस्था) is a Sanskrit nominal compound derived from the verb Stha (meaning standing, resting, grounded or founded).The expression literally means: that which does not stand down, non-resting, unstable, holding no definite position, un-grounded or without foundation.