#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.

However, this scenario can be resolved within the standard framework of special relativity ( because the twins are not equivalent ; the space twin experienced additional, asymmetrical acceleration when switching direction to return home ), and therefore is not a paradox in the sense of a logical contradiction.

However, Jews do not believe in a literal interpretation of the Genesis creation narrative, and Judaism is not in contradiction to the scientific model that states that the age of the universe is about 13. 75 billion years old.

However, this dialectical reading of history involved, of course, contradiction, so history was also conceived of as constantly conflicting: Hegel theorized this in his famous dialectic of the lord and the bondsman.

However, the United States government also acknowledged that Japan had " special interests " in China due to its geographic proximity, especially in those areas of China adjacent to Japanese territory, which was in effect, a contradiction to the Open Door Policy.

However, the final announcement ( in April 1992 ) of COBE satellite data corrected the earlier contradiction of the Big Bang ; the popularity of plasma cosmology has since fallen.

However, the theory predicted that large masses such as stars would bend light, in contradiction to accepted theory ; this was observed in a 1919 eclipse.

However, many scholars see a contradiction, in that while the Gospel of Matthew places Jesus ' birth under the reign of Herod the Great, who died in 4 BC, the Gospel of Luke also dates the birth ten years after Herod's death during the census of Quirinius, described by the historian Josephus.

However, the historical integrity of some of the hangars has been alleged to be compromised thereby, in contradiction to the protections supposedly imposed by their inclusion on the National Register and under their management by the NPS.

However, Edip Yüksel recognises the contradiction between Allah the merciful and eternal torture.

The disparities between Jefferson's philosophy and practice have been noted by numerous historians: Staaloff proposed that it was due to his being a proto-Romantic ; John Quincy Adams claimed that it was a manifestation of pure hypocrisy, or ' pliability of principle ;' and Bailyn asserts it simply represented a contradiction with Jefferson, that he was “ simultaneously a radical utopian idealist and a hardheaded, adroit, at times cunning politician .” However, Jenkinson argued that Jefferson's personal failings ought not to influence present day thinkers to disregard Jeffersonian ideals.

However, the East German press occasionally reported prosecutions of egregious cases of illegal " second economy " activity, involving what are called " crimes against socialist property " and other activities that are in " conflict and contradiction with the interests and demands of society ", as one report described the situation.

However, this resolution is invalid, since the paradox is proved by contradiction: assuming that there is any uninteresting number, we arrive to the fact that that same number is interesting, hence no number can be uninteresting ; its aim is not in particular to identify the interesting or uninteresting numbers, but to speculate whether any number can in fact exhibit such properties.

However, this longer period is in contradiction to early Mishnaic and Talmudic statements.

However, there is no contradiction here, since this finite number can be arbitrarily large and no probability can be assigned to any particular number being killed.

However, this curve is not an elliptic curve since it has genus zero, resulting in a contradiction.

However, Jawaharlal Nehru pointed out the inherent contradiction in the British argument of going to war with Nazi Germany for the sake of freedom, since India was denied that same freedom.

However, these stats are in contradiction to the 2011 census data.

However, this ability to define a burstiness for the output is in direct contradiction to the statement that the leaky bucket ( as a queue ) necessarily gives an output with a rigid rate, no matter how bursty the input.

However Oliveira defended its depiction of a moralistic and social repression on its characters as not being " in opposition to or in contradiction with our own times.

However this masterpiece of Christian symbolism had two serious weak points: historical inaccuracy surrounding the date of Resurrection as determined by its Easter computus, and its contradiction to the chronology of the Gospel of St John regarding the date of the Crucifixion on Friday after the Passover.

However, if no assumptions about initial boundary conditions are made, the fluctuation theorem should apply equally well in reverse, predicting that a system currently in a low-entropy state is more likely to have been at a higher-entropy state in the past, in contradiction with what would usually be seen in a reversed film of a nonequilibrium state going to equilibrium.

However, that " flat contradiction " fails because the studies confuse practice and theory ; for deep background see Silverman, Thomas G West, Stephen Heppel.

However, it's not injective in both variables simultaneously, because ( for example ) f ( 2, 4 ) = f ( 1, 2 ).

However, due to lack of intermediate elements, this process requires three helium nuclei striking each other nearly simultaneously ( see triple alpha process ).

However, simultaneously an Alien entity known as the Ly-cilph, a non-corporeal race from a distant galaxy, comes into contact with the dying man.

However, guerrillas and other irregular combatants generally cannot expect to receive benefits from both civilian and military status simultaneously.

However, amplification of stethoscope contact artifacts, and component cutoffs ( frequency response thresholds of electronic stethoscope microphones, pre-amps, amps, and speakers ) limit electronically amplified stethoscopes ' overall utility by amplifying mid-range sounds, while simultaneously attenuating high-and low-frequency range sounds.

However, if two condoms are used simultaneously ( male condom on top of male condom, or male condom inside female condom ), this increases the chance of condom failure.

However, Taipei did not demand that ties be broken with Beijing and ROC Foreign Minister Eugene Chien said that he would not reject having both sides of the Taiwan Strait recognized simultaneously.

However, as we have seen, reducing a tachyon's energy increases its speed, so that the single hyperbola formed is of two oppositely charged tachyons with opposite momenta ( same magnitude, opposite sign ) which annihilate each other when they simultaneously reach infinite speed at the same place in space.

However, in 1944 a short film, " Patrolling the Ether ", was broadcast simultaneously over three stations as an experiment.

However, in order to achieve the same bit-error probability as BPSK, QPSK uses twice the power ( since two bits are transmitted simultaneously ).

However, VCD has simultaneously seen significant new growth in emerging economies like India, Indonesia, South America and Africa as a low-cost alternative to DVD.

However, it played an important role in the development of networking technology in the 1980s, by influencing software and hardware vendors to seriously consider the need for computing platforms to support more than one network protocol stack simultaneously.

However, to avoid possible confusion, if two anonymous or unknown parties are cited in a specific case or action, the surnames Doe and Roe may be used simultaneously ; for example, " John Doe v. Jane Roe ".

However, contrary to the diffusionist theory, it appears that there was simultaneously a structural evolution towards the pointed arch, for the purpose of vaulting spaces of irregular plan, or to bring transverse vaults to the same height as diagonal vaults.

However, the fact that many of the dynasties listed reigned simultaneously from varying localities makes it difficult to reproduce a strict linear chronology.

However, a third party can make their communication confidential by simultaneously sending specially crafted messages through the same channel.

However, the same assets and resources that are tasked with ES can simultaneously

However, if the flow of time didn't have an objective existence, then it is argued conscious beings would simultaneously experience all moments in their lives.

However, upon removing his hat, it is clear that his head shape is modeled on the pate of a bald headed man — thus, the juxtaposition of being both furred and bald simultaneously.

However, he agreed to become music director of the Boston Symphony Orchestra and simultaneously direct both symphonies.

However, Musashi states within the volume that one should train with a long sword in each hand, thereby training the body and improving one's ability to use two blades simultaneously, though the aim of this was only for training purposes and wasn't meant to be a viable fighting style.

However, analog RGB and S-Video signals can not be carried simultaneously, due to each using the same pins for different uses, and displays often must be manually configured as to the input signal, since no switching mode exists for S-Video.

( However, since the future is only potential and not actual, it is often conceived that more than one future may exist simultaneously.

However, not all studies do this, and even those that do may not take into account “ the fact that frequently several tasks are done simultaneously, that tasks overlap, and that the boundaries between work and relationships are often unclear.