When a 20th century Dutch mathematician named Hans Freudenthal created LINCOS, the first language expressly designed for communicating with extraterrestrials, he used mathematical principles to discuss everything from the nature of time to what it means to love. In 2013, a Dutch mathematical astronomer named Alexander Ollongren created a second version of LINCOS, which communicates similar ideas couched in the language of symbolic logic and lambda calculus. In both of these instances, the lingua cosmica is self-contained and rooted in supposedly universal principles (mathematics and logic)—but it still might be unintelligible to an alien.
“Even if humans and extraterrestrials both have math and science, they're not necessarily interchangeable,” said Vakoch. “Maybe science starts out at different places depending on the biology or particular needs of the organism. There is a subtle truth that Arrival points toward, and that is the way we construct and talk about the world may reflect something idiosyncratic about our species.”
To illustrate his point, Vakoch cites the emergence of non-Euclidean geometry in the 19th century. For two millennia, Euclid’s view of a flat universe reigned supreme and pivoted on his fifth postulate, which states that two parallel lines will never intersect. But when a handful of European geometers in the 1800s replaced this axiom with its opposite—that two parallel lines actually can intersect—they fundamentally changed our view of reality by making space curved instead of flat.
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