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My father and I once asked this question and came to the following conclusions:
2 this is a pair
3 this is a handful
4 is a pile (a pile is a slide, and you can only make it from at least 4 balls)
Similarly, 2 people are an army, and 3 people are already a society.
In general, there is a different wording, not the one that is said by the user Who is It. How many grains of sand do you need to get a pile? The paradox is that there are no clear boundaries between a pile and a pile.
Suppose we have a bunch of grains. If you remove one grain from it, when will it stop being a pile? will it be a pile if there is only one grain left in it? The paradox is explained by the fact that the term “heap” does not have a precise definition.
The heap paradox is a paradox of uncertainty in the meaning of certain concepts. The previous answer mentioned a pile of sand. Another example is a tall man. Someone considers a person taller than two meters tall, and for someone 180 cm tall is enough to say that a person is tall. In the word “high” there is still the same heap paradox, that is, it is impossible to give an unambiguous definition of the word “high”. To do this, add more details.�
The heap paradox is one of the pardoxes, the author of which was an ancient Greek philosopher. Philosophers of antiquity and the Middle Ages were not particularly interested in its paradoxes. A surge of interest appeared somewhere in the 70s of the last century.�
Its other paradoxes are:�
Liar – Whether the person who says “I'm lying”is telling the truth
Bald – If the hair falls out of the head one at a time, then at what stage can a person be called bald?
Horned – What you haven't lost, you have. You didn't lose your horns. So you're horned
Reading the ancients, it seems that they lived so well, fun, rich and carefree that they only knew that they came up with various paradoxes that make your brain boil 🙂
Imagine a pile of sand. Remove one grain of sand and the pile remains a pile. One more – the result is the same. And now another and another. Since the number of grains of sand we have is limited, at some point we will have 5 grains of sand, then 4, 3, 2, finally one, and then the pile will cease to exist at all. But at what point did this happen? How can one grain of sand make such a difference? Such questions arise from the fact that “heap” is not a specific number, but a word that we use to express impressions.
This is an example of uncertainty.