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When Math Discoveries Led to Banned Numbers

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The literature world has seen more than its share of controversy. The best stories tend to provoke the strongest reactions—both positive and negative—in readers, which is why so many classic books have been banned at one point or another. But even a more objective field like math isn’t immune to conflict. In its new video, TED-Ed rounds up the numbers that caused such a stir when they were introduced that they were banned in math circles.

One of the earliest examples comes from ancient Greece. A mathematician named Hippasus was having trouble solving certain equations with fractions and whole numbers alone, so he came up with irrational numbers to make these values easier to express. The ruling school of thought at the time dictated that everything in nature could be explained elegantly with the numbers that already existed. Threatened by Hippasus’s new notion, his fellow mathematicians rejected the irrational numbers and had him exiled.

Other numbers have been banned for legal reasons. When Arab traders brought their positional number system, which included zero, to Italy in the Middle Ages, Florence banned it from record-keeping fearing that they would be easier to forge than Roman numerals. The Arabic way of counting also led to the rise of negative numbers, which were regarded with disdain by many experts into the 19th century. For more banned numbers, including some that are prohibited today, check out the full story below.

[h/t TED-Ed]

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NASA, Getty Images
Watch Apollo 11 Launch
Vice President Spiro Agnew and former President Lyndon Johnson view the liftoff of Apollo 11
Vice President Spiro Agnew and former President Lyndon Johnson view the liftoff of Apollo 11
NASA, Getty Images

Apollo 11 launched on July 16, 1969, on its way to the moon. In the video below, Mark Gray shows slow-motion footage of the launch (a Saturn V rocket) and explains in glorious detail what's going on from a technical perspective—the launch is very complex, and lots of stuff has to happen just right in order to get a safe launch. The video is mesmerizing, the narration is informative. Prepare to geek out about rockets! (Did you know the hold-down arms actually catch on fire after the rocket lifts off?)

Apollo 11 Saturn V Launch (HD) Camera E-8 from Spacecraft Films on Vimeo.

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Romano D’Agostini, Giorgio Cargnel, Soprintendenza Speciale di Roma
Utility Workers May Have Found One of Rome’s First Churches
Romano D’Agostini, Giorgio Cargnel, Soprintendenza Speciale di Roma
Romano D’Agostini, Giorgio Cargnel, Soprintendenza Speciale di Roma

The remains of what may have been one of Rome’s earliest Christian churches were accidentally discovered along the Tiber River during construction, The Local reports. The four-room structure, which could have been built as early as the 1st century CE, was unearthed by electrical technicians who were laying cables along the Ponte Milvio.

The newly discovered structure next to the river
Romano D’Agostini, Giorgio Cargnel, Soprintendenza Speciale di Roma

No one is sure what to make of this “archaeological enigma shrouded in mystery,” in the words of Rome’s Archaeological Superintendency. Although there’s no definitive theory as of yet, experts have a few ideas.

The use of colorful African marble for the floors and walls has led archaeologists to believe that the building probably served a prestigious—or perhaps holy—function as the villa of a noble family or as a Christian place of worship. Its proximity to an early cemetery spawned the latter theory, since it's common for churches to have mausoleums attached to them. Several tombs were found in that cemetery, including one containing the intact skeleton of a Roman man.

Marble flooring
Romano D’Agostini, Giorgio Cargnel, Soprintendenza Speciale di Roma

A tomb
Romano D’Agostini, Giorgio Cargnel, Soprintendenza Speciale di Roma1

The walls are made of brick, and the red, green, and beige marble had been imported from Sparta (Greece), Egypt, and present-day Tunisia, The Telegraph reports.

As The Local points out, it’s not all that unusual in Rome for archaeological discoveries to be made by unsuspecting people going about their day. Rome’s oldest aqueduct was found by Metro workers, and an ancient bath house and tombs were found during construction on a new church.

[h/t The Local]

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