Unverified50% confidenceFactExact time
Cantor founded set theory and discovered that an infinite set can be in one-to-one correspondence with a proper subset of itself (for example, there are as many natural numbers as even numbers).
1
Sources
50%
Confidence
Long-term
Relevance
11/3/2026
First Seen
Sources
How Does Infinity 'Destroy' Mathematics? Lex Fridman Podcast Reveals the Mathematical Crisis
youtubeLex Clips11/3/2026
Related Entities
Related Claims
Unverified戴德金通过分割构造实数,康托尔通过柯西序列的等价类来定义实数72% similarVerifiedTerence Tao collaborated with Ben Green to prove the Green-Tao theorem, which states that the prime numbers contain arbitrarily long arithmetic progressions.68% similarUnverifiedThe validity of the Bolzano-Weierstrass theorem depends on the completeness of the real numbers (the least upper bound property), and completeness is precisely the core property that the Cauchy sequence construction of the real numbers is meant to guarantee.65% similarUnverified诺特定理指出每一种连续对称性都对应一个守恒量63% similarUnverifiedThe Liouville–Goldbach conjecture relaxes the requirement of "two primes" to "the total number of prime factors of two numbers is a prime."61% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/1131401API
curl https://kongchang.com/api/v1/knowledge/claims/1131401MCP
get_claim(id=1131401)