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de6u99er

You can add infinite to both sides, then you end up with:

infinite + 1 = infinite

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> You can add infinite to both sides

No you can't, it's illegal.

Where is that law written?

It's an illegal operation

"Infinity plus one" is completely legal and well-defined in multiple mathematical formalisms [0], not least of which (and my personal favorite) are the surreal numbers [1].

[0] https://blog.plover.com/math/infinity-for-kids.html

[1] https://en.wikipedia.org/wiki/Surreal_number#Transfinite_ind...

I meant adding infinity to both sides

Working in the surreal numbers, you can, in fact, add "infinity" (specifically, the one usually called ω) to both sides of an equation, and everything is rigorously defined and works correctly.

Laws don't all have to be written.

Thank you. However, in this specific case, the question, "where is that law written?" was asking about the incorrect statement that the GP made.

It's legal for both cardinal and ordinal numbers, as well as slightly more exotic number types.

https://en.wikipedia.org/wiki/Infinity_plus_one

What if the Pope has appointed the number a cardinal only in pectore?

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