The Roman poet and philosopher Lucretius proposed the following thought experiment. If the universe has a boundary - we can throw a spear at this boundary. If the spear flies through - then it is not a boundary. If the Spear bounces back - there must something beyond this boundary that is itself in space - which means it is not a boundary at all. Either way - it turns out that the universe has no boundary. How best can the form of Lucretius' argument for the infinity of space be described?

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The Roman poet and philosopher Lucretius proposed the following thought experiment. If the universe has a boundary - we can throw a spear at this boundary. If the spear flies through - then it is not a boundary. If the Spear bounces back - there must something beyond this boundary that is itself in space - which means it is not a boundary at all. Either way - it turns out that the universe has no boundary. How best can the form of Lucretius' argument for the infinity of space be described?