Paradox

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 (horse)

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.

Background

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 (Balzac album)

Paradox is a mini-album released by the Japanese horror punk band Balzac.

Track listing

Credits

Additional recording members

References

External links

Fact (disambiguation)

A fact is an idea which is considered to be wholly and absolutely true.

Fact or Facts may also refer to:

Music

Other uses

See also

Question of fact

In law, a question of fact, also known as a point of fact, is a question which must be answered by reference to facts and evidence, and inferences arising from those facts. Such a question is distinct from a question of law, which must be answered by applying relevant legal principles. The answer to a question of fact (a "finding of fact") is usually dependent on particular circumstances or factual situations.

To illustrate the difference:

After hearing evidence, a U.S. court may issue a "Findings of Fact and Conclusions of Law," which separately examines the factual issues and then draws a legal conclusion. In the above example, the court might write that the facts have been established to a required standard of proof that Mr. and Mrs. Jones left their 10 year old child home alone with a baby for several days. The conclusion of law would then follow, outlining the given child neglect statute that Mr. and Mrs. Jones violated.

Web Ontology Language

The Web Ontology Language (OWL) is a family of knowledge representation languages for authoring ontologies. Ontologies are a formal way to describe taxonomies and classification networks, essentially defining the structure of knowledge for various domains: the nouns representing classes of objects and the verbs representing relations between the objects. Ontologies resemble class hierarchies in object-oriented programming but there are several critical differences. Class hierarchies are meant to represent structures used in source code that evolve fairly slowly (typically monthly revisions) whereas ontologies are meant to represent information on the Internet and are expected to be evolving almost constantly. Similarly, ontologies are typically far more flexible as they are meant to represent information on the Internet coming from all sorts of heterogeneous data sources. Class hierarchies on the other hand are meant to be fairly static and rely on far less diverse and more structured sources of data such as corporate databases.