Can someone explain 1/0 in non-axiomatic terms or does it exist solely within the confines of the abstract realm?

cheese_greater@lemmy.world to Asklemmy@lemmy.ml – 29 points –
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You have 20 apples that you put into 5 boxes. "How many apples per box?" 20/5=4. Easy.

You have 20 apples that you put into half a box. "How many apples per box?" 20/0.5=40. You can see how 20 apples in half of a box implies 40 apples per full box.

You have 20 apples that you don't put into anything. "How many apples per box?" 20/0=? What box? What are you talking about? How can you suggest that there are a number of apples per box when there's no box to begin with? Lunatic!

Wouldn't half a box just be 1 box that is half the size of a full-sized box?

Also, how can you fit twice as many apples into a box just because it's a smaller volume? You still only have 20 apples. And if anything you wouldn't be able to even fit that quantity probably since it's a smaller volume. Right?

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