It’s a fine story, but on reflection, it leaves us perplexed—and this perplexity goes to the heart of the problem of time. How could Galileo know that his own individual pulse-beats all lasted for the same amount of time?* Not many years after Galileo, doctors began to measure their patients’ pulses by using a watch—which is nothing, after all, but a pendulum. So we use the beats to assure ourselves that the pendulum is regular, and then the pendulum to ascertain the regularity of the pulse-beats. Is this not somewhat circular? What does it mean? It means that we, in reality, never measure
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