BigInts are closed under addition/subtraction/multiplication. Limited-size integers are not. That's "a truth that may hurt" and all programming languages have t

BigInts are closed under addition/subtraction/multiplication. Limited-size integers are not. That's "a truth that may hurt" and all programming languages have to deal with it. Most of them decided that using modular arithmetic and silently throwing away the most-significant digits is fine. But again, all your arguing about "numbers should be closed under arithmetic operations just as they are in C/C++" is kinda pointless because in C/C++, they are not! When you add/multiply two signed char's, or two shorts, you get an int, not a signed char/short, so only ints and longs are actually closed under arithmetic operations. Whoops!