A transfinite number is a type of number that is larger than any regular (or "finite") number. For example, imagine you have a pile of cookies. Let's say the pile has 3 cookies. That means there are 3 cookies in the pile. That's a finite number because it's a regular number and you can count them. But if the pile of cookies never ends, then you could never put a number to it. That's a transfinite number because it's bigger than any ordinary number.