Nautilus

How a Hypothesis Can Be Neither True Nor False

Georg Cantor died in 1918 in a sanatorium in Halle, Germany. A pre-eminent mathematician, he had laid the foundation for the theory of infinite numbers in the 1870s. At the time, his ideas received hostile opposition from prominent mathematicians in Europe, chief among them Leopold Kronecker, once Cantor’s teacher. In his first known bout of depression, Cantor wrote 52 letters to the Swedish mathematician Gösta Mittag-Leffler, each of which mentioned Kronecker.

But it was not just rejection by Kronecker that pushed Cantor to depression; it was his inability to prove a particular mathematical conjecture he formulated in 1878, and was convinced was true, called the Continuum Hypothesis. But if he blamed himself, he did so

You’re reading a preview, subscribe to read more.

More from Nautilus

Nautilus3 min read
Archaeology At The Bottom Of The Sea
1 Archaeology has more application to recent history than I thought In the preface of my book, A History of the World in Twelve Shipwrecks, I emphasize that it is a history of the world, not the history; the choice of sites for each chapter reflects
Nautilus13 min read
The Shark Whisperer
In the 1970s, when a young filmmaker named Steven Spielberg was researching a new movie based on a novel about sharks, he returned to his alma mater, California State University Long Beach. The lab at Cal State Long Beach was one of the first places
Nautilus5 min read
The Bad Trip Detective
Jules Evans was 17 years old when he had his first unpleasant run-in with psychedelic drugs. Caught up in the heady rave culture that gripped ’90s London, he took some acid at a club one night and followed a herd of unknown faces to an afterparty. Th

Related