Computable set

A computable set is a special group of numbers or things that a computer can work with and process in a predictable way. It's like having a big jar of colorful marbles, and you can count how many there are by taking them out one at a time and putting them into separate piles. The computer can do something similar with numbers in a computable set. This set has a clear rule or formula that the computer can follow to add, subtract, multiply or divide these numbers. For example, the set of even numbers is computable because the computer can easily recognize which numbers are even by checking if they can be divided by 2 without any remainder. On the contrary, the set of all prime numbers is not computable because there isn't a simple rule or formula that can be used to recognize them. The computer has to go through a complex process to figure out if a number is prime or not. In summary, a computable set is like a fun and easy game that a computer can play with numbers, where there are clear rules and a predictable outcome.