Dividing by zero gives a meaningless answer

cobwebs and infinity

Say I wanted to divide 16 by zero. Did your teachers at school tell you that you cannot divide anything by zero? Well, that’s true. Some might also have told you the answer should be infinity, but that is not correct either. Infinity is rigorously defined as the total of all the natural numbers and there is no end to them. So how can I divide 16 by zero and get infinity. Besides there are an infinity of infinities.

The correct answer is that dividing 16 by 0 gives a meaningless answer. Mathematicians have a term for it, they say the answer is “not defined”. Zero itself is not meaningless – as other posts on this site discuss. But 16 divided by zero is a meaningless procedure.

I asked my wife the other day, “Spiders can spin cobwebs and I can’t. How many times better than me is the spider?” She said, “You’re not a spider.” She wouldn’t give me a number! She was quite right. She said, “It’s like comparing apples and oranges!”.

This is much more profound that you might think. You would think that both 1 and zero are numbers, but there are strange properties for zero – it actually is in a slightly different category from other numbers, so yes, it is comparing apples and oranges.

How many times is God greater than us? I’m not going to give you an answer. The exercise is meaningless. It’s trying to compare two very different categories. But yes; he is far greater!

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