Oystein vs. Archimedes: A Note on Linnebo’s Infinite Balance

Erkenntnis (forthcoming)
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Abstract
Using Riemann’s Rearrangement Theorem, Øystein Linnebo (2020) argues that, if it were possible to apply an infinite positive weight and an infinite negative weight to a working scale, the resulting net weight could end up being any real number, depending on the procedure by which these weights are applied. Appealing to the First Postulate of Archimedes’ treatise on balance, I argue instead that the scale would always read 0 kg.
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Archival date: 2021-04-27
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2021-04-27

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