I have always thought that there are three possible answers to the question what is 0 / 0:

• zero, since zero divided by anything is still zero;
• infinity, since anything divided by zero is infinity;
• one, since anything divided by itself is one.

Of course my thinking can be very wrong as zero is not just anything -- it is a special case in itself. 0 / 0 may be equal to zero, one and infinity at the same time, but it is probably easier to say that it is undefined. Or even Mu.

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