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Is Mathematics Discovered or Invented?

Some think math is invented. Evidence, though, points towards discovery.

Some think math is invented. (See the article by Peter Biles.) Evidence, though, points towards discovery. Simultaneous mathematical discovery supports this viewpoint. Many mathematical breakthroughs are sometimes independently reported by two or more mathematicians at roughly the same time. The most famous is the simultaneous discovery of calculus by Isaac Newton and Gottfried Wilhelm Leibniz. Newton was secretive about his discovery and shared his results with only a few members of the Royal Society. When Leibnitz published his discovery of the calculus, Newton charged him with plagiarism. Today, historians agree that the discoveries were independent of each other. Here are some other lesser-known examples of simultaneous discovery. The Papoulis-Gerchberg Algorithm (PGA).  The PGA is an ingenious method for recovering lost Read More ›

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New York Senate Tries To Shut Down Misinformation on Social Media

The introduction of the bill raises concerns about government's intrusion into the freedom of speech online

In December, a bill was presented in the New York State Senate that would attempt to hold social media companies responsible for their role in circulating incitements to violence, incitements to self-harm, and misinformation.  Introduced by Democratic/Working Families Party Senator Brad Hoylman of Manhattan, the legislation would empower the state’s Attorney General to bring an action against any social media company that allows for the circulation of content that incites violence or that “includes a false statement of fact or fraudulent medical theory…”. No person, by conduct either unlawful in itself or unreasonable under all the circumstances, shall knowingly or recklessly create, maintain or contribute to a condition in New York state that endangers the safety or health of the public through Read More ›

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Royal Society: Don’t Censor Misinformation; It Makes Things Worse

While others demand crackdowns on “fake news,” the Society reminds us that the history of science is one of error correction

A leading science organization, the Royal Society (Britain’s equivalent of the National Academy of Sciences), has put out a report discouraging social media censorship, with special reference to the COVID-19 pandemic: The Royal Society, the U.K.’s academy of sciences, published a study of online scientific and health misinformation Wednesday, investigating its root causes and brainstorming possible solutions. The scientists concluded that censoring content deemed to be misinformation is often harmful and antithetical to the principles of scientific inquiry… The report found that online censorship risked pushing misinformation underground and off of major social media platforms, where it is less likely to be exposed to countervailing opinions. Censorship also risks removing or suppressing content that may be true or helpful to Read More ›