Arithmetic is both an axiomatic system as well as having a correspondence with real world counting. If observations and recent experiences illustrated 2+2 = 3 I

Arithmetic is both an axiomatic system as well as having a correspondence with real world counting. If observations and recent experiences illustrated 2+2 = 3 I would think I was dreaming. After a while I'd accept it as how counting works here/now. I wouldn't invalidate 2+2 = 4. OniIt's still true within its own axioms. I'd look for new axioms for the 2+2 = 3 system. If I could make no sense of it. I'd learn to cope and enjoy this new real dreamland. The situation doesn't seem well described. What happens if I put two boys beside two other boys? How similar/exact do they have to be to become 3? Can I just put any 2 humans or animals with 2 others for one to disappear. I don't think I'd be thinking about the consistency of the math--or only so much as it continues my existence. Or maybe only our perceptions of counts is off. I'd put 2 things beside 2 more in a line. Then I'd look at them closely two at a time with blinders and see if I can make out 4 distinct forms. If so there still there I just can't see all 4 at once. Basically do some debugging, what's actually different.