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Logic


It seems indisputable that there are holes. For example, there are keyholes, black holes and sinkholes; and there are holes in things such as sieves, golf courses and doughnuts. We come into the world through holes, and when we die many of us will be put into specially dug holes. But what are these holes …

Imagine a heap of sand. You carefully remove one grain. Is there still a heap? The obvious answer is: yes. Removing one grain doesn’t turn a heap into no heap. That principle can be applied again as you remove another grain, and then another… After each removal, there’s still a heap, according to the principle. …