What question did this study set out to answer?

To explore how existence claims can be proven without providing specific examples, using randomness.

Throwing Darts at the Real Line

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Mathematical arguments demonstrate existence claims using random selections showing nonzero probability.

To explore how existence claims can be proven without providing specific examples, using randomness.
Mathematical proof techniques involving random selection from a defined class.
Analysis of probabilities associated with randomly chosen instances.
Establishes a framework for existence claims based on nonzero probabilities.
Shows that randomness can affirm properties in various mathematical contexts.

Joel Hamkins (2026) studied this question.

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View Full Paper

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Mathematical arguments demonstrate existence claims using random selections showing nonzero probability.

To explore how existence claims can be proven without providing specific examples, using randomness.
Mathematical proof techniques involving random selection from a defined class.
Analysis of probabilities associated with randomly chosen instances.
Establishes a framework for existence claims based on nonzero probabilities.
Shows that randomness can affirm properties in various mathematical contexts.

Joel Hamkins (2026) studied this question.

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