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paradox and is
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 ...

paradox and named
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.
Some of the notable mathematical concepts named after Banach include Banach spaces, Banach algebras, the Banach – Tarski paradox, the Hahn – Banach theorem, the Banach – Steinhaus theorem, the Banach-Mazur game, the Banach – Alaoglu theorem and the Banach fixed-point theorem.
Bertrand Russell is credited with noticing the existence of such paradoxes even in the best symbolic formalizations of mathematics in his day, in particular the paradox that came to be named after him, Russell's paradox.
The protagonist is a Technician named Andrew Harlan, who finds himself involved in an ontological paradox orchestrated by his superiors.
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.
The paradox is so named because of its original characterization, attributed to Eubulides of Miletus.
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 ).
Leontief used input-output analysis to study the characteristics of trade flow between the U. S. and other countries, and found what has been named Leontief's paradox ; " this country resorts to foreign trade in order to economize its capital and dispose of its surplus labor, rather than vice versa ", i. e., U. S. exports were relatively labor-intensive when compared to U. S. imports.
The paradox is named from Daniel Bernoulli's presentation of the problem and his solution, published in 1738 in the Commentaries of the Imperial Academy of Science of Saint Petersburg.
There is another paradox in game theory that is named after him, called the Bertrand Paradox.
In economics and commerce, the Bertrand paradoxnamed after its creator, Joseph Bertrand — describes a situation in which two players ( firms ) reach a state of Nash equilibrium where both firms charge a price equal to marginal cost.
In mathematics, the Hausdorff paradox, named after Felix Hausdorff, states that if you remove a certain countable subset of the sphere S < sup > 2 </ sup >, the remainder can be divided into three disjoint subsets A, B and C such that A, B, C and B ∪ C are all congruent.
The semi-mythical founder of Faction Paradox is Grandfather Paradox, named after the grandfather paradox of time travel theory.
The paradox is named after the 14th century French philosopher Jean Buridan, whose philosophy of moral determinism it satirizes.
As the newly named Tropical Storm Gay strengthened, it " presented a paradox to forecasters " according to Lieutenant Dianne K. Crittenden ; synoptic data from Malaysia and Thailand indicated decreasing wind speeds and increasing barometric pressures around the storm, but these observations were later interpreted as increased subsidence.
** Ehrenfest paradox and Ehrenfest theorem, named after him
* Hempel's paradox ( or Hempel's ravens ), synonyms for the Raven paradox named after Carl Gustav Hempel

paradox and for
Statements such as the Banach – Tarski paradox can be rephrased as conditional statements, for example, " If AC holds, the decomposition in the Banach – Tarski paradox exists.
This extension is needed for, among other things, modeling the concepts of " is an element of " or " is a subset of " in set theory, without running into logical inconsistencies such as Russell's paradox.
A paradox of self-reference arises when one considers whether it is possible for Epimenides to have spoken the truth.
In that article, Russell uses the Epimenides paradox as the point of departure for discussions of other problems, including the Burali-Forti paradox and the paradox now called Russell's paradox.
EPR tried to set up a paradox to question the range of true application of Quantum Mechanics: Quantum theory predicts that both values cannot be known for a particle, and yet the EPR thought experiment purports to show that they must all have determinate values.
The Fermi paradox ( or Fermi's paradox ) is the apparent contradiction between high estimates of the probability of the existence of extraterrestrial civilization and humanity's lack of contact with, or evidence for, such civilizations.
Moore is best known today for his defence of ethical non-naturalism, his emphasis on common sense in philosophical method, and the paradox that bears his name.
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.
In early Islamic tradition liar paradox was discussed for at least 5 centuries starting from late 9th century apparently without being influenced by any other tradition.
Alfred Tarski diagnosed the paradox as arising only in languages that are " semantically closed ", by which he meant a language in which it is possible for one sentence to predicate truth ( or falsehood ) of another sentence in the same language ( or even of itself ).
Robert Bridges, for instance, perceived a paradox: a character able to express such convincing horror before Duncan's murder would likely be incapable of committing the crime.
The most common consequences of paradox include physical damage directly to the Mage's body, and paradox flaws, magic-like effects which can for example turn the mage's hair green, make him mute, make him incapable of leaving a certain location, and so on.
This is an apparent paradox that stumped some great physicists, although it does not allow a practical one-way mirror for use in the real world.
In general relativity theory, it is still possible for the paradox to hold in a finite universe: though the sky would not be infinitely bright, every point in the sky would still be like the surface of a star.
In order to explain Olbers ' paradox, it is necessary to account for the relatively low brightness of the night sky in relation to the circle of our sun.
Instead of resisting the admission of this paradox in the search for understanding, Heidegger requires that we embrace it through an active process of elucidation he called the " Hermeneutic Circle ".
As for the Hobbesians, Singer attempts a response in the final chapter of Practical Ethics, arguing that self-interested reasons support adoption of the moral point of view, such as ' the paradox of hedonism ', which counsels that happiness is best found by not looking for it, and the need most people feel to relate to something larger than their own concerns.

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