Resolution: All whole numbers are interesting.

First, I will list some seemingly trivial facts I think my opponent can agree with me on.1. There are infinitely many whole numbers.2. There are a finite number of words in the English language.3. The number of words a person can read in their life is finite. Let's call that number R.4. In order for a number to be considered interesting, it must have a reason as to why it is interesting that can be expressed using words in the English language.Second, I will point out a misconception my opponent has.My opponent stated that, because prime numbers have some interesting traits in general, all prime numbers must be interesting. However, this is not valid. I agree with him that prime numbers are very interesting; however, this does not prove that every individual prime number is interesting.If this was true then I could just say that even numbers are interesting because it is the most inclusive set of whole numbers divisible by 2, and odd numbers are interesting because it is the most inclusive set of whole numbers not divisible by 2. Therefore, all even and odd whole numbers are interesting, and the debate would be over.Or, I could say that whole numbers in general are interesting because they are the most inclusive set of non-negative numbers that can be written without fractional or decimal components. However, this does not transfer to each individual whole number, and does not serve as evidence that every whole number is interesting. If a set of numbers can be shown to be interesting, this does not transfer to each individual number in that set. CLAIM 1To prove that not every whole number can be interesting, I will also use a proof by contradiction. I will assume that all whole numbers are interesting.My opponent defined the word interesting as "arousing curiosity or interest; holding or catching the attention".From this, we deduce that if the reason behind why a number is interesting, is more than R words long, it is invalid. That number cannot be interesting because no human could finish reading the reason why in the span of their lifetime, and therefore cannot have curiosity or interest aroused. Because all numbers are interesting, all numbers must have a reason less than R words long.We know that there is a finite number of words in the English language L. Given that fact and the conclusion of the previous argument, we know there is also a finite number of possible reasons. If there is an infinite number of whole numbers, then there must be at least one infinite set of interesting numbers that all have the same reason behind why they are interesting. Otherwise, some whole numbers would not be accounted for. Although interesting is an ambiguous term, I argue that not every number in that set can be interesting because they are not unique and have no interesting, non-trivial trait that separates it from the rest of the set.We have come to a contradiction, so the original proposition must be false. Not everywhole number can be interesting.Although the way my opponent defined the word interesting allows for multiple numbers to have the same reason and still be considered interesting, I argue that interesting numbers must in-part have some sort of uniqueness, and an infinite set of numbers all with the same reason cannot allow for every number in that set to be interesting.CLAIM 2My opponent's proof by contradiction does so by classifying numbers into interesting and uninteresting categories and finding a contradiction. However, my opponent did not apply proof-by-contradiction logic correctly and left out an important possibility regarding proof by contradictions - the paradox.Consider the following statement:This statement is false.Now, is that statement true or false? Let's assume it is true. If it is true, the statement, "this statement is false," is true, and therefore, it is false. A statement cannot be both true and false, so the original assumption is wrong. Let's now assume that the statement is false. If it is false, the statement, "This statement is false," is false, and therefore the statement is true - we run into the same contradiction. In this situation, the statement is neither true nor false. It is a paradox.My opponents original proof by contradiction results in a similar paradox. Let's consider his original assumption that there are numbers in the categories of interesting and uninteresting, with at least one number in the uninteresting category. The smallest number X in the uninteresting category can now be considered interesting and should be moved to the interesting category. However, the moment X is moved out of the uninteresting category, it is no longer interesting. The reason X was interesting was dependent on X being in the uninteresting category. Moving it out of that category changed its trait of being interesting.When X is in the uninteresting category, it is interesting; when X is in the interesting category, it is uninteresting. Clearly, X does not belong in either category. It is a paradox. Therefore, my opponent's proof is invalid.Overall, my proof that not all numbers are interesting rests on the fact that there are an infinite number of whole numbers, and humans are finite beings, while the term "interesting" relates to human curiousness. We all have a finite amount of interest, and there are a finite number of humans, so humans cannot possibly have interest for the vastly infinite amount of whole numbers. We cannot even come close to reaching what is not finite.