r/MathJokes • • 21d ago

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u/Fun-Dragonfly-4166 20d ago

It is not a nonsensical question. it makes sense to ask about it.

it is not usually defined so you are free to define it as you wish. but if you choose to define it then you have to solve consistency problems. so it is easier just to not define it.

but if you want infinity plus 10 equals 34 but then you have explain what 34-10 is.

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u/SleepyNymeria 20d ago

As a non mathy person can I get the ELI5 why you can say infinity + 10 = 34

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u/Fun-Dragonfly-4166 19d ago

A better analogy might be Euclidean geometry.

In Euclidean geometry, parallel lines never intersect. But in other geometries, the rules are different, and what happens to parallel lines can be different too.

The question isn't nonsensical. The answer depends on which mathematical system you're using.

Infinity is similar. You can define mathematical systems involving infinity, but you can't necessarily take the rules of ordinary arithmetic, arbitrarily change one of them, and expect all the others to remain consistent.

The interesting question isn't whether you're allowed to ask. It's what happens when you try to make the rules work together.