On the Finitude of Time in Aristotle and Leibniz
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This paper considers an argument called here the Shift argument, which has the upshot, it will be argued, that time cannot be infinite into the past but must have had a beginning or first instant. The Shift argument can be found in Aristotle and many others. We largely consider versions due to Aristotle and Leibniz, with the aim to draw essentially opposite conclusions from Aristotle.