gnostek1 / 5An illustration of Cantor's diagonal argument (in base 2) for the existence of uncountable sets . The sequence at the bottom cannot occur anywhere in the enumeration of sequences above.
01Cantor's diagonal argument fits on one page: construct a number differing from every listed entry at position n.
02It proved the reals are 'uncountably' infinite — a strictly larger infinity than the counting numbers.
03Cantor suffered repeated breakdowns; fellow mathematician Kronecker called him a 'corrupter of youth.'
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01Calment personally knew Van Gogh in 1888, describing him as 'dirty, badly dressed, and disagreeable.'
02She rode a bicycle until age 100, fenced until 85, and ate roughly 1 kg of chocolate per week.
03She died in 1997, 122 years and 164 days old — a record no one has come within five years of breaking.
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01Thomson published the paradox in 1954; the total switching time sums to exactly 2 minutes via geometric series.
02Standard mathematics is simply silent — both 'on' and 'off' are consistent with the premises.
03The paradox exposes that infinite processes with defined totals need not have defined final states.
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01McCartney used the placeholder lyric 'Scrambled eggs, oh my baby how I love your legs' while writing 'Yesterday.'
02'Yesterday' holds the Guinness record for most cover versions of any song — over 2,200 recorded artists.
03He dreamed the complete melody, woke, played it immediately, and told no one for weeks out of uncertainty.
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01Abdulrahman was born in Denver, Colorado — an American citizen by birth, killed by American order.
02He had run away from home to find his father; he never made it back alive.
03White House press secretary Robert Gibbs suggested Abdulrahman should have 'had a more responsible father.'
gnostek1 / 2Anthony "Tino" De Angelis
01Inspectors measured oil levels by dipping rods into tanks — De Angelis pumped oil between tanks to fool simultaneous checks.
02The fraud's 1963 collapse triggered losses that bankrupted brokerage firms Ira Haupt & Co. and Allied Crude Vegetable Oil.
03Total borrowed against nonexistent oil reached $175 million — roughly $1.7 billion in today's money.
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01The paintings date to at least 36,000 BCE, making them among the oldest figurative art on Earth.
02Marcelino Sanz de Sautuola's daughter María, age 8, first spotted the ceiling bison in 1879.
03The cave was declared a hoax by the scientific establishment for over 20 years before vindication came in 1902.
gnostek1 / 8The Zimmermann telegram as it was sent from Washington, D.C. , to Ambassador Heinrich von Eckardt , the German ambassador to Mexico .
01The telegram was decoded by British Naval Intelligence's Room 40, which had cracked German ciphers.
02Germany offered Mexico its 'lost territory' — Texas, New Mexico, and Arizona — as a wartime inducement.
03Zimmermann publicly confirmed the telegram's authenticity, making denial impossible and enraging American public opinion.
gnostek1 / 4Red Bird – watercolour on paper
01Giuliani threatened to cut $7 million in city funding to the Brooklyn Museum over the painting.
02Ofili, a Catholic, said the dung was a reverent material — he used it in nearly every painting.
03A man entered the museum and smeared white paint over the canvas; he was arrested on-site.