What are all the facts that Core 3 babbles about in Portal 2?

Solution 1:

All the facts can be found in the subtitles file at \steamapps\common\portal 2\portal2\resource\subtitles_english.txt (or _czech, _danish...). Open it up and search for bits of what you remember, e.g. "dental".

See this answer if you want to know how to extract the sound files.

• Rats cannot throw up.
• Honey does not spoil.
• The billionth digit of Pi is 9.
• The square root of rope is string.
• A gallon of water weighs 8.34 pounds
• Dental floss has superb tensile strength.
• An ostrich's eye is bigger than its brain.
• Hot water freezes quicker than cold water.
• Polymerase I polypeptide A is a human gene.
• The Sun is 330,330 times larger than Earth.
• The moon orbits the Earth every 27.32 days.
• A nanosecond lasts one billionth of a second.
• To make a photocopier, simply photocopy a mirror.
• Humans can survive underwater. But not for very long.
• The average adult body contains half a pound of salt.
• Volcano-ologists are experts in the study of volcanoes.
• Cellular phones will not give you cancer. Only hepatitis.
• Avocados have the highest fiber and calories of any fruit.
• The atomic weight of Germanium is seven two point six four.
• China produces the world's second largest crop of soybeans.
• Human tapeworms can grow up to twenty-two point nine meters.
• 89% of magic tricks are not magic. Technically, they are sorcery.
• Iguanas can stay underwater for twenty-eight point seven minutes.
• Every square inch of the human body has 32 million bacteria on it.
• The average life expectancy of a rhinoceros in captivity is 15 years.
• At the end of The Seagull by Anton Chekhov, Konstantin kills himself.
• According to most advanced algorithms, the world's best name is Craig.
• Whales are twice as intelligent, and three times as delicious, as humans.
• At some point in their lives 1 in 6 children will be abducted by the Dutch.
• Tungsten has the highest melting point of any metal, at 3,410 degrees Celsius.
• The first person to prove that cow's milk is drinkable was very, very thirsty.
• Raseph, the Semitic god of war and plague, had a gazelle growing out of his forehead.
• Gently cleaning the tongue twice a day is the most effective way to fight bad breath.
• Avocados have the highest fiber and calories of any fruit. They are found in Australians.
• The Mexican-American War ended in 1848 with the signing of the Treaty of Guadalupe Hidalgo.
• According to Norse legend, thunder god Thor's chariot was pulled across the sky by two goats.
• The value of Pi is the ratio of any circle's circumference to its diameter in Euclidean space.
• Edmund Hillary, the first person to climb Mount Everest, did so accidentally while chasing a bird.
• The first commercial airline flight took to the air in 1914. Everyone involved screamed the entire way.
• The plural of surgeon general is surgeons general. The past tense of surgeons general is surgeonsed general.
• Marie Curie invented the theory of radioactivity, the treatment of radioactivity, and dying of radioactivity.
• The occupation of court jester was invented accidentally, when a vassal's epilepsy was mistaken for capering.
• In Greek myth, Prometheus stole fire from the Gods and gave it to humankind. The jewelry he kept for himself.
• Dreams are the subconscious mind's way of reminding people to go to school naked and have their teeth fall out.
• In Greek myth, the craftsman Daedalus invented human flight so a group of Minotaurs would stop teasing him about it.
• Before the Wright Brothers invented the airplane, anyone wanting to fly anywhere was required to eat 200 pounds of helium.
• In 1879, Sandford Fleming first proposed the adoption of worldwide standardized time zones at the Royal Canadian Institute.
• In 1948, at the request of a dying boy, baseball legend Babe Ruth ate seventy-five hot dogs, then died of hot dog poisoning.
• While the submarine is vastly superior to the boat in every way, over 97% of people still use boats for aquatic transportation.
• Roman toothpaste was made with human urine. Urine as an ingredient in toothpaste continued to be used up until the 18th century.
• Before the invention of scrambled eggs in 1912, the typical breakfast was either whole eggs still in the shell or scrambled rocks.
• The Tariff Act of 1789, established to protect domestic manufacture, was the second statute ever enacted by the United States government.
• During the Great Depression, the Tennessee Valley Authority outlawed pet rabbits, forcing many to hot glue-gun long ears onto their pet mice.
• William Shakespeare did not exist. His plays were masterminded in 1589 by Francis Bacon, who used a Ouija board to enslave play-writing ghosts.
• Pants were invented by sailors in the sixteenth century to avoid Poseidon's wrath. It was believed that the sight of naked sailors angered the sea god.
• Diamonds are made when coal is put under intense pressure. Diamonds put under intense pressure become foam pellets, commonly used today as packing material.
• Contrary to popular belief, the Eskimo does not have one hundred different words for snow. They do, however, have two hundred and thirty-four words for fudge.
• Halley's Comet can be viewed orbiting Earth every seventy-six years. For the other seventy-five, it retreats to the heart of the sun, where it hibernates undisturbed.
• It is incorrectly noted that Thomas Edison invented 'push-ups' in 1878. Nikolai Tesla had in fact patented the activity three years earlier, under the name 'Tesla-cize.'
• The automobile brake was not invented until 1895. Before this, someone had to remain in the car at all times, driving in circles until passengers returned from their errands.
• The most poisonous fish in the world is the orange ruffy. Everything but its eyes are made of a deadly poison. The ruffy's eyes are composed of a less harmful, deadly poison.
• In 1862, Abraham Lincoln signed the Emancipation Proclamation, freeing the slaves. Like everything he did, Lincoln freed the slaves while sleepwalking, and later had no memory of the event.
• The Schrodinger's cat paradox outlines a situation in which a cat in a box must be considered, for all intents and purposes, simultaneously alive and dead. Schrodinger created this paradox as a justification for killing cats.
• In Victorian England, a commoner was not allowed to look directly at the Queen, due to a belief at the time that the poor had the ability to steal thoughts. Science now believes that less than 4% of poor people are able to do this.
• If you have trouble with simple counting, use the following mnemonic device: one comes before two comes before 60 comes after 12 comes before six trillion comes after 504. This will make your earlier counting difficulties seem like no big deal.

Solution 2:

The Fact Sphere has more lines than there is time for it to say them. Here's a YouTube video of them all: