Math · 3
Which mathematician discovered that the set of real numbers is larger than the set of integers?
Answer
Georg Cantor
Georg Cantor developed set theory and proved through his diagonal argument that the cardinality of real numbers exceeds that of integers.
💡 Did you know?
Cantor's work on infinity revolutionized mathematics, though it was initially controversial and caused him significant mental distress.
Other options people guess
- David Hilbert
- Kurt Gödel
- Bertrand Russell
Topics
- set-theory
- infinity
- cardinality
Know your math trivia?
Play a free Math quiz and see how many you get right — no signup needed to start.
More Math facts
Math
What number is both even and odd according to mathematical convention?
Zero is considered even, not odd, because it's divisible by 2 with no remainder.
Math
What is the name of the constant approximately equal to 2.71828?
Euler's number is as fundamental to calculus as pi is to geometry, yet it's less widely known outside mathematics.
Math
Archimedes derived his famously precise approximation of pi around 250 BC by using polygons with how many sides at most?
Archimedes calculated pi so accurately in 250 BC that his bounds weren't beaten until 1000 years later, using only geometry and patience.
Math
Which self-taught Indian mathematician discovered a formula for pi containing infinite nested radicals while suffering from fever?
Ramanujan discovered a formula for pi containing infinite nested radicals while fevered and ill, verified decades later as mathematically sound.
Math
What operation does the Collatz Conjecture instruct you to perform on an odd number?
The Collatz Conjecture—propose any number, halve if even or triple-and-add-one if odd, repeat—remains unsolved despite its child-simple description.
Math
Which probability thought experiment involves a subject who wakes up unsure how many times she has already been woken, sparking a famous 1/3 vs 1/2 debate?
Sleeping Beauty wakes uncertain how many times she's woken, creating a paradox where rational people defend both 1/3 and 1/2 as the 'correct' probability.