Thomson Lamp Paradox

A lamp is turned on for 1/2 minute, off for 1/4 minute, on for 1/8 minute, etc. At the end of one minute, the lamp switchwill have been moved times, where is Aleph-0. Will the lamp be on or off? ThisParadox is actually nonsensical, since it is equivalent to asking if the ``last'' Integer is Even orOdd.

References

Pickover, C. A. Keys to Infinity. New York: Wiley, pp. 19-23, 1995.

• Cat Map
• Cattle Problem of Archimedes
• Cauchy Binomial Theorem
• Cauchy Boundary Conditions
• Cauchy Criterion
• Cauchy Distribution
• Cauchy Equation
• Cauchy Functional Equation
• Cauchy-Hadamard Theorem
• Cauchy Inequality
• Cauchy Integral Formula
• Cauchy Integral Test
• Cauchy Integral Theorem
• Cauchy-Kovalevskaya Theorem
• Cauchy-Lagrange Identity
• Cauchy-Maclaurin Theorem
• Cauchy Mean Theorem
• Cauchy Principal Value
• Cauchy Problem
• Cauchy Ratio Test
• Cauchy Remainder Form
• Cauchy-Riemann Equations
• Cauchy Root Test
• Cauchy-Schwarz Integral Inequality
• Cauchy-Schwarz Sum Inequality