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Buttered cat paradox: Humorous example of a paradox from contradicting proverbs. Intentionally blank page: Many documents contain pages on which the text "This page intentionally left blank" is printed, thereby making the page not blank. Metabasis paradox: Conflicting definitions of what is the best kind of tragedy in Aristotle's Poetics.
Although statements can be self referential without being paradoxical ("This statement is written in English" is a true and non-paradoxical self-referential statement), self-reference is a common element of paradoxes. One example occurs in the liar paradox, which is commonly formulated as the self-referential statement "This statement is false ...
In literature, the paradox is an anomalous juxtaposition of incongruous ideas for the sake of striking exposition or unexpected insight. It functions as a method of literary composition and analysis that involves examining apparently contradictory statements and drawing conclusions either to reconcile them or to explain their presence.
This category contains paradoxes in mathematics, but excluding those concerning informal logic. "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction". "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction".
Topics about Paradoxes in general should be placed in relevant topic categories. Pages in this category should be moved to subcategories where applicable. This category may require frequent maintenance to avoid becoming too large.
The paradoxes do not arise with classes because there is no notion of classes containing classes. Otherwise, one could, for example, define a class of all classes that do not contain themselves, which would lead to a Russell paradox for classes. A conglomerate, on the other hand, can have proper classes as members. [2]
The infinitely dense gravitational singularity found as time approaches an initial point in the Big Bang universe is an example of a physical paradox.. A common paradox occurs with mathematical idealizations such as point sources which describe physical phenomena well at distant or global scales but break down at the point itself.
The original statement of the paradox, due to Richard (1905), is strongly related to Cantor's diagonal argument on the uncountability of the set of real numbers.. The paradox begins with the observation that certain expressions of natural language define real numbers unambiguously, while other expressions of natural language do not.