Teh puma was reading this book to brush up on a couple of basic things, but something crossed his mind, and he assumes it is a rather basic, and easy to answer question.
Throughout school he has never much paid attention to what the names and definitions were for certain numbers (like prime or composite,). He simply ran through the courses with "this number effects the equation this way, that number cannot complete this that way so it must be this way." He never really decided to say " This positive integer cannot be the product of these two primes because ....."
After mulling over this, he can understand giving numbers certain definitions/descriptions if they arise in certain patterns or specific theorems consistently. However, are there any other reasons? Perhaps teh puma has started to think this way because "just plug it into the equation" has been repeated to him for so many classes, and the reason for definitions in this specific subject has become lost to him because of it.
Sorry if this sounds stupid, but he'd rather ask the question instead of keeping it to himself.
-
Defining something makes it easier to explain to others.