A paradox is a statement that apparently contradicts itself and yet might be true (or wrong at the same time). Some logical paradoxes are known to be invalid arguments but are still valuable in promoting critical thinking.
Some paradoxes have revealed errors in definitions assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined. One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself, and showed that attempts to found set theory on the identification of sets with properties or predicates were flawed. Others, such as Curry's paradox, are not yet resolved.
Examples outside logic include the Ship of Theseus from philosophy (questioning whether a ship repaired over time by replacing each of its wooden parts would remain the same ship). Paradoxes can also take the form of images or other media. For example, M.C. Escher featured perspective-based paradoxes in many of his drawings, with walls that are regarded as floors from other points of view, and staircases that appear to climb endlessly.
Paradox (1882–1890) was a British Thoroughbred racehorse and sire. In a career that lasted from October 1884 until October 1885 he ran eight times and won six races. Despite running only twice in 1884, he proved himself to be one of the best two-year-olds of his generation by winning the Dewhurst Plate. In the following year he won five of his six races including the 2,000 Guineas, the Grand Prix de Paris, the Sussex Stakes and the Champion Stakes. His only defeat came when he was narrowly beaten by Melton in the Epsom Derby.
The final phase of the colt's racing career was marked by controversy and recrimination following his withdrawal from the Cambridgeshire Handicap in the autumn of 1885 and he was retired from racing in 1886. Paradox had little opportunity to establish himself at stud, dying in 1890 at the age of eight.
Paradox was a strongly-built bay horse bred by the Graham brothers at the Yardley Stud near Birmingham. He was sired by the 2,000 Guineas runner-up Sterling out of Casuistry, an undistinguished racehorse who had been sold cheaply at the end of her racing career by Lord Rosebery. Casuistry became an important broodmare, being the direct female ancestor of notable thoroughbreds such as Humorist, Royal Palace and Spend a Buck. As a yearling Paradox was bought for 700 guineas by the trainer John Porter on behalf of his associate, Captain Bowling. Porter trained the colt at his stable at Kingsclere.
Paradox is a mini-album released by the Japanese horror punk band Balzac.
Anders is a given name and a surname of Scandinavian origin.
Anders may also refer to:
The WPB Anders (Polish: Wielozadaniowa Platforma Bojowa Anders i.e. Anders Multirole Combat Platform) is a family of medium, tracked combat vehicles. The vehicle was designed by OBRUM ( Polish: Ośrodek Badawczo-Rozwojowy Urządzeń Mechanicznych – Research and Development Centre for Mechanical Appliances) part of the Bumar Group. It is named after Władysław Anders, a general of the Polish Army during World War II and later a member of the Polish government-in-exile.
The vehicle was designed to replace the Polish Army's remaining inventory of obsolete BMP-1 fighting vehicles, the first prototype being publicly shown in 2010, at the MSPO Kielce defense industry exhibition. During its first presentation, the vehicle was shown in its fire support configuration (Polish: wóz wsparcia ogniowego), armed with a 120mm tank gun. The media referred to this vehicle as a "light tank". Later, the same vehicle was shown configured as an infantry fighting vehicle (Polish: bojowy wóz piechoty) with a KTO Rosomak Hitfist-30P turret. A more advanced IFV prototype is expected to be shown at the 2011 MSPO Kielce exhibition. Further variants, such as command and control, medical evacuation, combat-engineering and self-propelled anti-aircraft gun are also planned.
Anders is a worn lunar impact crater that is located in the southern hemisphere on the far side of the Moon. It lies just to the southeast of the outer rim of the huge walled basin named Apollo. To the south-southeast is the crater Leavitt.
The oval-shaped Anders G intrudes slightly into the southeast rim of Anders. There is a tiny double-crater formation attached to the exterior of the northeast rim, and a short valley cuts into the northern wall. The interior floor is relatively flat, and is marked only by a tiny crater on the eastern wall.
Anders crater is named after the American astronaut William Anders, crew of the Apollo 8 mission in 1968, which was the first manned mission to the moon, and therefore Anders was one of the three first humans to see this crater on the far side of the moon. Two nearby craters are named after the other two crew members, Frank Borman (Borman crater) and Jim Lovell (Lovell crater).
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Anders.