Gödel's Incompleteness Theorems
Gödel's incompleteness theorems are two of the most profound and startling results in the history of mathematics and logic. Proven by the Austrian…
Most recent activity
Verified facts and proven results
Hypotheses under investigation and ideas still debated
Claims the evidence overturned
Well-substantiated explanations of how things work
Every capsule
The anthropic principle concerns the striking observation that the universe appears remarkably fine tuned for the existence of life. Many of the…
The Rare Earth hypothesis proposes that complex, multicellular life, of the kind found on Earth, is extremely rare in the universe, because it…
The honey bee is a flying insect famous for two things: producing honey, and pollinating a vast share of the plants that humans and ecosystems depend…
Kanye West, who legally changed his name to Ye in 2021, is an American rapper, record producer, and fashion designer, and one of the most influential…
The Renaissance was a period of extraordinary cultural and intellectual flowering in Europe, lasting roughly from the fourteenth to the seventeenth…
Henry Ford was an American industrialist who founded the Ford Motor Company and revolutionized manufacturing with the moving assembly line. Born in…
The germ theory of disease is the scientific theory that many illnesses are caused by microorganisms, living agents too small to see, that invade the…
Lightning is a sudden, powerful discharge of electricity in the atmosphere, one of nature's most dramatic and dangerous phenomena. A single bolt can…
That tobacco smoking causes cancer is one of the most thoroughly established findings in all of medicine. Smoking is the leading preventable cause of…
Jay-Z, born Shawn Corey Carter in 1969, is an American rapper and businessman widely regarded as one of the greatest and most commercially successful…
Water is a chemical compound with the formula H₂O, consisting of two hydrogen atoms covalently bonded to one oxygen atom. Its bent molecular geometry…
The multiverse is the hypothesis that our universe is only one of many, perhaps even infinitely many, other universes. It is taken seriously by many…
Dark energy is the name given to an unknown influence that appears to be driving the expansion of the universe to speed up over time. It is thought…
The Yoruba people of southwestern Nigeria developed sophisticated agricultural systems over centuries that integrated intercropping, seasonal…
Christ the Redeemer is a colossal statue of Jesus that stands atop Mount Corcovado overlooking the Brazilian city of Rio de Janeiro. With arms…
The Roman Empire was one of the largest and most influential civilizations in history. At its height it ruled much of Europe, North Africa, and the…
The Riemann hypothesis is the most famous unsolved problem in mathematics. Proposed by Bernhard Riemann in 1859, it makes a precise claim about the…
Quantum mechanics is the most successful physical theory ever devised, predicting the behavior of atoms, light, and subatomic particles with…
Machu Picchu is a fifteenth-century Inca citadel perched high on a mountain ridge in the Andes of Peru, around 2,400 metres above sea level. Famous…
Stonehenge is a prehistoric stone monument on Salisbury Plain in southern England, a ring of enormous standing stones raised some four to five…