Mathematical fallacy

In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept of mathematical fallacy. There is a distinction between a simple mistake and a mathematical fallacy in a proof: a mistake in a proof leads to an invalid proof just in the same way, but in the best-known examples of mathematical fallacies, there is some concealment in the presentation of the proof. For example, the reason validity fails may be a division by zero that is hidden by algebraic notation. There is a striking quality of the mathematical fallacy: as typically presented, it leads not only to an absurd result, but does so in a crafty or clever way. Therefore, these fallacies, for pedagogic reasons, usually take the form of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle, or designed to show that certain steps are conditional, and should not be applied in the cases that are the exceptions to the rules.

1-1

1-1 may refer to:

AND1

AND1 is an American athletic shoe company specializing in basketball shoes and clothing. Founded on August 13, 1993, the company's headquarters were located in Paoli, Pennsylvania

Company history

In 1993, AND1 began as a graduate school project partnership of Jay Coen Gilbert, Seth Berger, and Tom Austin while they were graduate students at the University of Pennsylvania's Wharton School. The company name is derived from a phrase used by basketball broadcasters: when a player is fouled while shooting, makes the shot and makes the awarded foul shot as well, they score the points for the made basket "and 1" for the made free throw. Early advertising strategies, used to distinguish their products from others, included other basketball slogans and trash talk, such as "Pass. Save Yourself The Embarrassment".

In mid of 1996, NBA star Stephon Marbury became the first spokesman for AND1.

In late 1998, a videotape containing streetball stunts was delivered to AND1 by Marquise Kelly, coach of the Benjamin Cardozo High school team in Queens, New York. The tape contained low quality camera moves, poor resolution and nearly indecipherable audio featuring a streetballer by the name of Rafer Alston. At the time, Alston was a student at Fresno State who had entered the 1998 NBA Draft. The videotape would soon be known as the "Skip tape", referring to Alston's streetball nickname "Skip to my Lou". Alston later signed AND1's first endorsement deal.