Cantor's Theorem
Infinite sets have different sizes. Revolutionized understanding of infinity.
Your Reaction
Similar Mathematical Theorem
Gödel's Incompleteness Theorems
No system can prove all truths about arithmetic. Limits of formal systems.
Banach-Tarski Paradox
Uses axiom of choice. Demonstrates measure theory limits.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
Squeeze Theorem
Limit technique. Sandwich theorem.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
Intermediate Value Theorem
Intuitive but powerful. Guarantees roots exist.
Law of Large Numbers
Why statistics works. Foundation of probability theory.
Explore Related Domains
Discover connections across different types of entities
The Fold
Leibnizian-Deleuzian concept of infinite folding as nature's operation. Matter folds infinitely inward; soul unfolds infinitely …
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Einstein on the nature of reality
Einstein on the nature of reality
Gödel Escher Bach
Hofstadter's Pulitzer Prize-winning book explores consciousness, meaning, and self-reference through the work of logician Gödel, …
Wittgenstein on the limits of language
Wittgenstein on the limits of language
Simulation Hypothesis
Modern philosophical hypothesis that reality might be a computer simulation. Nick Bostrom's argument: if civilizations …
Kierkegaard on temporal paradox
Kierkegaard on temporal paradox