The Ant on a Rubber Rope Paradox
Ting-Yang Hsiao
TL;DR
This paper clarifies and extends the ant on a rubber rope paradox by demonstrating that the ant can reach the end even when the ant's step length and rope's stretching are modeled as random variables, highlighting the paradox's robustness.
Contribution
It generalizes the paradox by incorporating randomness in both the ant's step length and the rope's stretching, providing a broader understanding of the problem.
Findings
The ant can reach the end despite random variations.
Randomness does not prevent the ant from reaching the end.
The paradox remains valid under stochastic conditions.
Abstract
We clarify and generalize the ant on a rubber rope paradox, which is a mathematical puzzle with a solution that appears counterintuitive. In this paper, we show that the ant can still reach the end of the rope even if we consider the step length of the ant and stretching length of the rubber rope as random variables.
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Taxonomy
TopicsArtificial Intelligence in Games · Computability, Logic, AI Algorithms · History and Theory of Mathematics