Kleene–Rosser paradox
The Kleene–Rosser paradox is a confusion about what math is supposed to say about some numbers. It's kind of like when you have a group of friends who give different answers to the same question. Here's what happens:
Let's say we have two numbers, A and B. We want to know if A is greater than B. Now, there are two ways to find out. We can use math to compare them, or we can ask someone else which number is bigger.
If we use math, then the answer should be clear. Math can tell us if one number is bigger than the other to give us a definite answer. But if we ask someone else, we may get different answers from different people. This is the Kleene–Rosser paradox: no matter what people say, math can still give us a definite answer.
Let's say we have two numbers, A and B. We want to know if A is greater than B. Now, there are two ways to find out. We can use math to compare them, or we can ask someone else which number is bigger.
If we use math, then the answer should be clear. Math can tell us if one number is bigger than the other to give us a definite answer. But if we ask someone else, we may get different answers from different people. This is the Kleene–Rosser paradox: no matter what people say, math can still give us a definite answer.