At the same time, I am aware that my recoil could be interpreted by readers of the tea leaves at the bottom of my psyche as an incestuous sign, since theirs is a science of paradox: if one hates, they say it is because one loves ; ;

It is an understandable paradox that most American history and most American literature is today written from an essentially egocentric and isolationistic point of view at the very time America is spreading her dominion over palm and pine.

The pattern here pictured is clearly not peculiar to Notre Dame: it is simply that the paradox involved in this kind of control of the institution by `` the organization which actually owns '' it, becomes more obvious where there is a larger and more distinguished `` outside '' faculty.

The paradox implicit in the whole affair is shown by the demand of the government, after the conviction, that General Electric sign a wide-open consent decree that it would not reduce prices so low as to compete seriously with its fellows.

The statement also points to a classic paradox: The more men turn toward God, who is not only in himself the paradigm of all unity but also the only ground on which human unity can ultimately be established, the more men splinter into groups and set themselves apart from one another.

The source of this paradox is not difficult to identify.

The technique of reality confusion -- the use of paradox and riddles to shake the mind's grip on reality -- originated with fourth and third century B.C. Chinese Quietism: the koan is not basically a new device.

Swift also recognizes the implications of such a fact in making mercantilist philosophy a paradox: the wealth of a country is based on the poverty of the majority of its citizens.

One example is the Banach – Tarski paradox which says that it is possible to decompose (" carve up ") the 3-dimensional solid unit ball into finitely many pieces and, using only rotations and translations, reassemble the pieces into two solid balls each with the same volume as the original.

For example, the Banach – Tarski paradox is neither provable nor disprovable from ZF alone: it is impossible to construct the required decomposition of the unit ball in ZF, but also impossible to prove there is no such decomposition.

This feature is known as the archer's paradox.

This is related to Cesare Burali-Forti's " paradox " that there can be no greatest ordinal number.

A paradox in metabolism is that, while the vast majority of complex life on Earth requires oxygen for its existence, oxygen is a highly reactive molecule that damages living organisms by producing reactive oxygen species.

If nature cannot err, then there are no paradoxes in it ; to Hobbes, the paradox is a form of the absurd, which is inconsistency: " Natural sense and imagination, are not subject to absurdity " and " For error is but a deception ...

Moore is also remembered for drawing attention to the peculiar inconsistency involved in uttering a sentence such as " It is raining but I do not believe it is raining "-- a puzzle which is now commonly called " Moore's paradox.

Alonzo Church, inventor of the lambda calculus, developed a higher-order logic commonly called Church's Theory of Types, in order to avoid the Kleene – Rosser paradox afflicting the original pure lambda calculus.

Cognitive illusions are commonly divided into ambiguous illusions, distorting illusions, paradox illusions, or fiction illusions.

The basic plot line is derived from a 1911 thought experiment in special relativity, commonly called the twin paradox, proposed by French physicist Paul Langevin.

In mathematics, Zermelo – Fraenkel set theory with the axiom of choice, named after mathematicians Ernst Zermelo and Abraham Fraenkel and commonly abbreviated ZFC, is one of several axiomatic systems that were proposed in the early twentieth century to formulate a theory of sets without the paradoxes of naive set theory such as Russell's paradox.

There are many such paradoxes, the most famous being known as the liar paradox, commonly expressed as " This sentence is a lie ," or " This sentence is false.

* A temporal causality loop, or predestination paradox, more commonly referred to as a causality loop, is a theoretical phenomenon, which is said to occur when a chain of cause-effect events is circular.

His name is particularly associated with what is commonly known as the Allais paradox, a decision problem he first presented in 1953 which contradicts the expected utility hypothesis.

Another theory, though much less commonly utilized, is one in which the altering of an event in the past would always be allowed, even if such alteration would logically cause a paradox.

Bertrand Russell, the first to discuss the paradox in print, attributed it to G. G. Berry ( 1867 – 1928 ), a junior librarian at Oxford's Bodleian library, who had suggested the more limited paradox arising from the expression " the first undefinable ordinal ".

One version of the liar paradox is attributed to the Greek philosopher Eubulides of Miletus who lived in the 4th century BC.

This paradox is often attributed to Bertrand Russell ( e. g., by Martin Gardner in Aha !).

They attributed the paradox to " vicious circularity " and built up what they called ramified type theory to deal with it.

One famous paradox is that of the two monks, attributed to Dudeney, which consists of two similar shapes, one with and the other missing a foot.

The locality paradox also attributed to the arguments of panorama critics.

The paradox is so named because of its original characterization, attributed to Eubulides of Miletus.

The Grelling – Nelson paradox is a semantic self-referential paradox formulated in 1908 by Kurt Grelling and Leonard Nelson and sometimes mistakenly attributed to the German philosopher and mathematician Hermann Weyl.

A miracle occurs henceforward, which is popularly attributed to Krishna but in Vyasa's Mahabharata, Draupadi's saviour is named as Dharma ( who could be just morality, the god Dharma, Krishna as the Lord of Dharma, or even Vidura or Yudhishthira, or even a logical paradox of Draupadi's question-did Yudhishthira have the right to stake her when he had already lost himself ).

Quine's paradox is a paradox concerning truth values, attributed to Willard Van Orman Quine.

The micro-macro paradox has also been attributed to inadequate assessment practices.

While the paradox of thrift was popularized by Keynes, and is often attributed to him, it was stated by a number of others prior to Keynes, and the proposition that spending may help and saving may hurt an economy dates to antiquity ; similar sentiments occur in the Bible verse:

Aristotle's wheel paradox is a paradox from the Greek work Mechanica traditionally attributed to Aristotle.

In astrophysics and physical cosmology, Olbers ' paradox, named after the German astronomer Heinrich Wilhelm Olbers and also called the " dark night sky paradox ", is the argument that the darkness of the night sky conflicts with the assumption of an infinite and eternal static universe.

* 1823 – Olbers ' paradox is described by the German astronomer Heinrich Wilhelm Olbers.

* Olbers ' paradox is described by the German astronomer Heinrich Wilhelm Olbers.

Hilbert's paradox of the Grand Hotel is a mathematical veridical paradox ( a non-contradictory speculation that is strongly counter-intuitive ) about infinite sets presented by German mathematician David Hilbert ( 1862 – 1943 ).

* Olbers ' paradox is described by the German astronomer Heinrich Wilhelm Matthäus Olbers.

The original definition, in terms of a finitely additive invariant measure ( or mean ) on subsets of G, was introduced by John von Neumann in 1929 under the German name " messbar " (" measurable " in English ) in response to the Banach – Tarski paradox.

Braess's paradox, credited to the German mathematician Dietrich Braess, states that adding extra capacity to a network when the moving entities selfishly choose their route, can in some cases reduce overall performance.

* Translation of the Braess 1968 article from German to English appears as the article " On a paradox of traffic planning ," by D. Braess, A. Nagurney, and T. Wakolbinger in the journal Transportation Science, volume 39, 2005, pp. 446 – 450.

* Raven paradox, a paradox proposed by the German logician Carl Gustav Hempel