Bernoulli's Paradox
Suppose the Harmonic Series converges to 
:
Then rearranging the terms in the sum gives
which is a contradiction.
References
Boas, R. P. ``Some Remarkable Sequences of Integers.'' Ch. 3 in Mathematical Plums (Ed. R. Honsberger). Washington, DC: Math. Assoc. Amer., pp. 39-40, 1979.
- Convolution
- Convolution Theorem
- Conway-Alexander Polynomial
- Conway Groups
- Conway Notation
- Conway Polyhedron Notation
- Conway Polynomial
- Conway Puzzle
- Conway's Constant
- Conway Sequence
- Conway's Game of Life
- Conway's Knot
- Conway's Knot Notation
- Conway's Life
- Conway Sphere
- Coordinate Geometry
- Coordinates
- Coordinate System
- Coordination Number
- Copeland-Erdös Constant
- Coplanar
- Coprime
- Copson-de Bruijn Constant
- Copson's Inequality
- Copula