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Showing posts from April 16, 2023

The paradox of the heap and the effect of the real

  It is said that Chryssipus the Stoic held that there were, for all problems, true solutions. But he also held that at times, we can’t see them – and those times called for a morally disciplined silence. It is in this spirit he approached the paradox of the heap – the sorites. The paradox is as follows: if we construct a heap from seeds, say, we can, by adding seeds successively, reach a point where we might say that we have a heap, and identify that with the number of seeds we have used – say, 200. And yet, when we subtract one seed, we are disinclined to say that we no longer have a heap. Given that fact, we might play the game by claiming that we haven’t reached a heap no matter how many seeds we use in order to avoid identifying the heap with a certain number of seeds – but then, paradoxically, we will never achieve a heap. In fact, we don’t really seem to be able to quantify a thing like a heap; neither do we want to say that the heap is a quality when clearly it can be analyzed