False Dogma ~ September 2013 Riddle

Mara’s adventures will resume next month. In the meantime, this month’s riddle involves a “false” dogma.

In George Orwell’sĀ Nineteen Eighty-Four, the phrase “2 + 2 = 5” is used as an example of a false dogma, an obviously false statement which one may be required to believe, simply because the state declares it is so.

 

Sometimes they are five. Sometimes they are three. Sometimes they are all of them at once. You must try harder. It is not easy to become sane.

– George Orwell, 1984

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But is the statement really false?

Here’s your task: Come up with a mathematically sound justification of the Party’s claim. It should be simple enough that it could be explained to a typical high school graduate, but sound enough to hold up to the scrutiny of an expert mathematician.

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