Quantum coherence is an essential difference between classical and quantum theories, and is illustrated by the Einstein-Podolsky-Rosen paradox.

However, he was also the first to notice some of the apparently exotic consequences of entanglement, and used them to formulate the Einstein-Podolsky-Rosen paradox in the hope of showing that quantum mechanics had unacceptable implications.

The Einstein-Podolsky-Rosen paradox shows in any case that there exist experiments by which one can measure the state of one particle and instantaneously change the state of its entangled partner-although the two particles can be an arbitrary distance apart.

He produced a series of objections to the theory, the most famous of which has become known as the Einstein-Podolsky-Rosen paradox.

* J. S. Bell ," On the Einstein-Podolsky-Rosen paradox ", Physics 1, ( 1964 ) 195-200.

This was the first experimental confirmation of quantum results relevant to a pair of entangled photons as applicable to the Einstein-Podolsky-Rosen ( EPR ) paradox, or situation.

In 1993 Bennett and Brassard, in collaboration with others, discovered " quantum teleportation ", an effect in which the complete information in an unknown quantum state is decomposed into purely classical information and purely non-classical Einstein-Podolsky-Rosen ( EPR paradox ) correlations, sent through two separate channels, and later reassembled in a new location to produce an exact replica of the original quantum state that was destroyed in the sending process.

In current terminology this result corresponds to a pair of entangled photons and is directly relevant to a typical Einstein-Podolsky-Rosen ( EPR ) paradox, or situation.

The completeness of quantum mechanics ( thesis 1 ) was attacked by the Einstein-Podolsky-Rosen thought experiment which was intended to show that quantum physics could not be a complete theory.

* M. Jammer, " The EPR Problem in Its Historical Development ", in Symposium on the Foundations of Modern Physics: 50 years of the Einstein-Podolsky-Rosen Gedankenexperiment, edited by P. Lahti and P. Mittelstaedt ( World Scientific, Singapore, 1985 ), pp. 129 – 149.

His doctoral thesis on the teleportation of matter through extremely dense elements was titled Observation of Einstein-Podolsky-Rosen Entanglement on Supraquantum Structures by Induction Through Nonlinear Transuranic Crystal of Extremely Long Wavelength ( ELW ) Pulse from Mode-Locked Source Array.

Using the principle of locality, in a famous paper he and his co-authors articulated the Einstein-Podolsky-Rosen Paradox which showed that position and momentum were simultaneous " real " physical properties of a particle.

* Garg and Mermin: A. Garg and N. D. Mermin, Detector inefficiencies in the Einstein-Podolsky-Rosen experiment Phys.

Some authors have claimed that the self-referential nature of this statement is the source of the paradox.

The authors of both studies concluded the trace amounts of resveratrol reached in the blood are insufficient to explain the French paradox.

Although the liar paradox was well known in antiquity, interest seems to have lapsed until the twelfth century, when it appears to have been reinvented independently of ancient authors.

Different authors have explained the paradox in different ways.

Some have claimed that the term paradox also has the unfortunate tendency to lead authors to seek simple one-dimensional solutions to what is, in actuality, a multi-faceted puzzle.

According to the philosophical system of Aristotle and his followers, there are four causes or reasons that describe a thing ; these causes can be analyzed to get to a solution to the paradox.

The term postmodern literature is used to describe certain characteristics of post – World War II literature ( relying heavily, for example, on fragmentation, paradox, questionable narrators, etc.

In the context of philosophical speculations about time travel, Horwich coined the term autoinfanticide to describe a scenario, depicting a variant of the grandfather paradox, in which a person goes back in time and deliberately or inadvertently kills his or her infant self, although he malformed the word as " autofanticide ".

Another paradox associated with relativity is Supplee's paradox which seems to describe two reference frames that are irreconcilable.

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 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.

Given that C-values were assumed to be constant because DNA is the stuff of genes, and yet bore no relationship to presumed gene number, this was understandably considered paradoxical ; the term " C-value paradox " was used to describe this situation by C. A.

Various problems occur if classical mechanics is used to describe quantum systems, such as the ultraviolet catastrophe in black body radiation, the Gibbs paradox, and the lack of a zero point for entropy.

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 ; ;

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.

As it turned out, assuming that one can perform any operation on sets without restriction leads to paradoxes such as Russell's paradox and Berry's paradox.

In other formulations of the Berry paradox, such as one that instead reads: "... not nameable in less ..." the term " nameable " is also one that has this systematic ambiguity.

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.

The most discomforting aspect of this paradox is that the effect is instantaneous so that something that happens in one galaxy could cause an instantaneous change in another galaxy.

A paradox of self-reference arises when one considers whether it is possible for Epimenides to have spoken the truth.

It has nothing in common with the letter except its form: apart from that one might venture the paradox that the epistle is the opposite of a real letter.

The paradox is further extended when one considers that – despite his claims of spiritual authority over Philemon – Paul frames himself – and, by extension, both Philemon and Onesimus – as fellow bondservants of Christ, who being their spiritual master, is also their brother and equal.

Since this implies that one particle is communicating with the other instantaneously across space, i. e. faster than light, this is the " paradox ".

It is said that when Wittgenstein first heard this paradox one evening ( which Moore had earlier stated in a lecture ), he rushed round to Moore's lodgings, got him out of bed and insisted that Moore repeat the entire lecture to him.

Both the number of base pairs and the number of genes vary widely from one species to another, and there is only a rough correlation between the two ( an observation known as the C-value paradox ).

( In an ideal " perfect hash function ", no bucket should have more than one record ; but a small number of collisions is virtually inevitable, even if n is much larger than m – see the birthday paradox ).

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 ).

An opposite iterated technique, counting down rather than up, is found in the Sorites paradox, where one argued that if 1, 000, 000 grains of sand formed a heap, and removing one grain from a heap left it a heap, then a single grain of sand ( or even no grains ) forms a heap.

For example, in the Twin paradox one twin brother goes on a trip near the speed of light and comes home younger than his twin, who stayed at home.

Some might argue the paradox is easily resolved when one considers that such a being would be personal.

Lichten labelled any criticism of the pope's actions during World War II as " a stupefying paradox " and said, " no one who reads the record of Pius XII's actions on behalf of Jews can subscribe to Hochhuth's accusation.

These were avoided in PM by building an elaborate system of types: a set of elements is of a different type than is each of its elements ( a set is not an element ; one element is not the set ) and one cannot speak of the " set of all sets " and similar constructs, which would lead to paradoxes ( see Russell's paradox ).

one must not think ill of the paradox, for the paradox is the passion of thought, and the thinker without the paradox is like the lover without passion: a mediocre fellow.