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.

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 ...

This view leads to a seeming paradox: one can perform an illegal act without committing a crime, while a criminal act could be perfectly legal.

Possible explanations for the paradox suggest, for example, that while simple life may well be abundant in the universe, intelligent life may be exceedingly rare.

Standard interpretations of quantum mechanics explain this paradox as a fundamental property of the Universe, while alternative interpretations explain the duality as an emergent, second-order consequence of various limitations of the observer.

J. L Cowan sees this paradox as a reason to reject the concept of ' absolute ' omnipotence, while others, such as René Descartes, argue that God is absolutely omnipotent, despite the problem.

Studies of the eclipsing ternary Algol led to the Algol paradox in the theory of stellar evolution: although components of a binary star form at the same time, and massive stars evolve much faster than the less massive ones, it was observed that the more massive component Algol A is still in the main sequence, while the less massive Algol B is a subgiant star at a later evolutionary stage.

This explanation, while convenient, may not be sufficiently complex to truly explain the equatorial paradox.

In social choice theory, Arrow ’ s impossibility theorem, the General Possibility Theorem, or Arrow ’ s paradox, states that, when voters have three or more distinct alternatives ( options ), no rank order voting system can convert the ranked preferences of individuals into a community-wide ( complete and transitive ) ranking while also meeting a specific set of criteria.

The paradox begins with the observation that certain expressions in English unambiguously define real numbers, while other expressions in English do not.

A variation of the paradox uses integers instead of real-numbers, while preserving the self-referential character of the original.

However, the above-mentioned paradox may well imply that firms pay lip service to thinking outside the box while maintaining traditional, hierarchical organization structures in which individual creativity is condemned.

* Gregg Easterbrook " The progress paradox – how life gets better while people feel worse ", 2003

We later learn in what should have been the series finale ( titled " Circle ", which explains the time paradox ) that this portal is actually opened by Rick Marshall himself, while in Enik's cave, as a way for the current Marshalls to return to earth, resolving the paradox and allowing Enik to also return to his time.

The doctrine aides, then, in interpreting the Scriptures so as to avoid paradox — as when Scripture says, for example, that the creation is " very good ", and also that " none is good but God alone "— since only God is goodness, while nevertheless humanity is created in the likeness of goodness ( and the likeness is necessarily imperfect in humanity, unless that person is also God ).

The reliance of neutral theory on genetic drift also fails to explain the " paradox of variation ", where genetic diversity has not been found to depend strongly on the size of different populations: while this can be addressed by nearly neutral theory, it requires the increase in the diversity of neutral alleles with increasing population size to exactly cancel out the decrease in the proportion of alleles that are neutral with increasing population size.

Many African-American intellectuals have commented on and analyzed the paradox that white Americans long regarded many elements of African-American culture quintessentially " American ," while at the same time treating African Americans as second-class citizens.

In this Marxist-influenced essay, Greenberg claimed that true avant-garde art is a product of the Enlightenment's revolution of critical thinking, and as such resists and recoils from the degradation of culture in both mainstream capitalist and communist society, while acknowledging the paradox that, at the same time, the artist, dependent on the market or the state, remains inexorably attached " by an umbilical cord of gold ".

This rationalisation of the frontier would make it far more defensible while defining it more clearly in a political sense, yet it also created the paradox that while Louis XIV's ultimate goals were defensive, he pursued them by hostile means.

For example, historian Tim Blanning notes that while in Britain the royal prerogative was decisively curbed by the Bill of Rights 1689, in practice the central government in London had a greater ability to get its policies implemented in the rural outlying regions than could contemporary absolute monarchies such as France – a paradox due especially to JPs belonging to the same social class as the Members of Parliament and thus having a direct interest in getting laws actually enforced and implemented on the ground.

However, while the negative experimental outcome can easily be explained in the rest frame of the device, the explanation from the viewpoint of a non-co-moving frame ( concerning the question, whether the same torque should arise as in the " aether frame " described above, or whether no torque arises at all ) is much more difficult and is called " Trouton-Noble paradox ".

Chartalists, like other Keynesians accept the paradox of thrift, which argues that identifying behavior of individual households and the nation as a whole commits the fallacy of composition ; while the paradox of thrift ( and thus deficit spending for fiscal stimulus ) is widely accepted in economics, the Chartalist form is not.

There are many examples of objects which might fall prey to Theseus's paradox: buildings and automobiles for example can undergo complete replacement while still maintaining some aspect of their identity.

The term " Antarctic paradox " is used in ecology to describe the phenomenon that vast areas of the Southern Ocean contain plenty of nutrients for phytoplankton to thrive but still, the phytoplankton do not grow much.

This work described several now famous results, including Condorcet's jury theorem, which states that if each member of a voting group is more likely than not to make a correct decision, the probability that the highest vote of the group is the correct decision increases as the number of members of the group increases, and Condorcet's paradox, which shows that majority preferences become intransitive with three or more options – it is possible for a certain electorate to express a preference for A over B, a preference for B over C, and a preference for C over A, all from the same set of ballots.

A Condorcet winner doesn't always exist because majority preferences can be like rock / paper / scissors: for each candidate, there can be another that is preferred by some majority ( this is known as Condorcet paradox ).

This occurs as a result of a kind of tie known as a majority rule cycle, described by Condorcet's paradox.

In voting theory, the Condorcet paradox demonstrates a fallacy of composition: Even if all voters have rational preferences, the collective choice induced by majority rule is not transitive and hence not rational.

( The minimum number of alternatives that can form such a cycle ( voting paradox ) is 3 if the number of voters is different from 4, because the Nakamura number of the majority rule is 3.

By concluding that complex life is uncommon, the Rare Earth hypothesis is a possible solution to the Fermi paradox: " If extraterrestrial aliens are common, why aren't they obvious?

This is responsible for the paradox in which those with an inferiority complex are the ones who present themselves in the best light possible ; while those with a superiority complex may not attempt to make themselves look good.

In modern discourse, the paradox was articulated by John M. Dutton and William H. Starbuck " As a model of a complex system becomes more complete, it becomes less understandable.

The C-value enigma or C-value paradox is the complex puzzle surrounding the extensive variation in nuclear genome size among eukaryotic species.

The main achievement of the Shield of the Trinity diagram is to transfer a large part of the essential " mystery " or " paradox " of the Christian doctrine of the Trinity from the realm of complex verbal philosophical abstractions and esoteric theological vocabulary to the realm of simple logic, as presented in the relatively easily graspable form of a concrete and conveniently compact visual diagram.

The complex explanation on this occasion for the redesign was due to a time paradox caused by the battle with their future selves at the finale of the previous series ( see episodes " Out of Time " and " Tikka to Ride ").