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One or none

The difference between one and none is not always clear.

 


Explanation

Because we concern us here with mathematics, it sounds reasonable to call one 1 and none 0. That is quite logical. And moreover it becomes abstract. You would think that it should be clear whether the result of a calculation gives 0 or 1.

But that is often not so easy.

 


Details

You can say: I have two. Or you could say: I have one. And if you don't have anything, you can even say: I don't have one. Of course that's the same as: I have nothing.

 


History

The German mathematician Gottfried Leibniz (1646 - 1716) used binary numbers for many different purposes. For him, 1 stood for God and 0 for nothingness.


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