Computers Have Finite Limits on Integers

While math has no largest number, computer integers are strictly capped. When a number grows too large for its assigned space, it suddenly wraps around to a negative value.

Computers store numbers using a fixed amount of memory, meaning they can only represent a specific range of values. If you try to add one to the highest possible number, the hardware simply flips back to the lowest negative value. This strange behavior is known as integer overflow. It can lead to serious errors in programming, but it also reveals how binary logic creates boundaries that do not exist in pure mathematics.