Tomorrow, all emeralds in the world might turn blue. The 'Grue' paradox that fundamentally shakes the basis of scientific prediction.
A strange paradox of a solid figure brought about by calculus, having both a 'finite volume' and an 'infinite surface area' at the same time.
Even if a test with 99% accuracy is positive, the actual probability of having the disease might be less than 1%? Explaining the 'Base Rate Fallacy' where human intuition is deceived by statistical data.
Can we prove the hypothesis that 'all ravens are black' without ever seeing a single raven? The paradox of induction created by logical equivalence.
The shorter the ruler you use to measure, the infinitely longer the coastline becomes. This is a famous paradox that opened the door to fractal geometry.
A flying arrow is at rest at every moment. If so, does motion exist? The greatest logical puzzle of ancient Greece.
An explanation of 'time dilation' predicted by Einstein's theory of relativity, where a twin traveling in a near-light-speed rocket returns younger than the twin who stayed on Earth.
A legal dispute between master and student over tuition payment conditions. An ancient Greek legal paradox where logic contradicts itself regardless of who wins or loses.
Where is the boundary between a 'heap' and 'not a heap'? A philosophical paradox from ancient Greece that challenges the very nature of vagueness.
Unraveling the deep labyrinth of logic and semantics created by the classification of 'autological' and 'heterological' words.
A bizarre paradox in network theory where building a new bypass to relieve traffic congestion ends up increasing the commute time for everyone.
There's no need to worry that you 'don't have enough friends.' It's a mathematically proven property of networks.
Listing all real numbers that can be defined in words, only to create a new real number different from all of them. We provide an easy-to-understand explanation of "Richard's Paradox", which shook the foundations of mathematics, and Gödel's brilliant inspiration that broke through it.
The very phrase "the smallest integer not expressible in 19 characters or less" ends up expressing that number in under 19 characters!? An explanation of a short, beautiful paradox that occurs at the boundary of everyday language and mathematics.
"Next week, on one of the days from Monday to Friday, I will give you a surprise test in an unpredictable manner." —— In response to the teacher's declaration, the students proved that "a surprise test is logically impossible." However...
"Now that you are awake, what is the probability that the coin toss resulted in heads?" We explain the latest paradox that continues to divide mathematicians and philosophers worldwide into the "1/2 camp" and the "1/3 camp" despite its very simple setup.
A transparent box with 100,000 yen and an opaque box with either 100 million yen or nothing. Which would you choose in a game prepared by a superbeing who perfectly predicts the future? We explain the greatest puzzle in modern philosophy where free will and determinism clash.
Even though the "pass rate" is higher in every department, when the company's overall "total pass rate" is calculated, it reverses and loses!? We explain the terrifying trap of "Simpson's Paradox" where statistical data deceives us in an easy-to-understand way.
The "Grand Hotel" with infinite rooms never turns away a new guest, even when it is completely full. We explain the astonishing logical trick (properties of infinite sets) that allows it to accommodate 1 person, a million people, or even an "infinite number" of guests arriving on a bus.
A gamble that is mathematically supposed to make you "infinite money". Yet, in reality, nobody would pay a large sum for it. We explain the historical paradox that highlighted the gap between probability theory and human psychology (utility), laying the foundation of modern economics.
