Tortoise

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he. "Now take your goods, and the profit I have made for you upon them, and may you prosper in future." I took them gratefully, and as we went from one island to another I laid in stores of cloves, cinnamon, and other spices. In one place I saw a tortoise which was twenty cubits long and as many broad, also a fish that was like a cow and had skin so thick that it was used to make shields. Another I saw that was like a camel in shape and colour. So by degrees we came back to Balsora, and I returned

was attractive precisely because it was so fertile in contradictions and paradoxes, would. What, asked Oresme, are the conditions for an addition ‘by proportional parts’ to be possible? The question goes back to Zeno’s paradox of Achilles and the tortoise. What was new about Oresme’s treatment is that he gave precise conditions in terms of the ratios, and even summed the series. And, of course, that in going on to examine the possibility of a series which is ‘by ratios of lesser proportionality’—decreasing—becoming