If you have 2 apples, and then I give you 2 more, you don’t suddenly have 5 apples because we all decided 2+2=5.

No, but some types of addition follow their own rules.

Sometimes 1+1 is 2. One Apple plus one Apple is two apples.

Sometimes 1+1 is 1. Two true statements joined together in conjunction are true.

Sometimes 1+1 is 0. Two 180° rotations is the same as if you didn’t rotate the thing at all.

If you don’t define what kind of addition you’re talking about, then it’s not precise enough to talk through what is or isn’t true.