Also, by what the father said, numbers should be finite too, because they are made of a set of finite digits (1,2,3,4,5,6,7,8,9,0) , and of course numbers are infinite.
And Bored, I just want to point out that real life books don't work like the books in the theory, at all.
So it's interesting to say "even if they did" (it is, I didn't think of your example before!), but let's really make it clear first that
they don't.TailSpin, the argument your father gave to back up this theory is
invalid. Finite set of letters doesn't equal finite set of books\ stories. Also books don't behave like the theory's imaginary books do, so it's wrong to compare it this way.
Ways to store information (like stories) will exist as long humanity (or other intelligent beings) exist. Even by our own memory\ recycling of old materials.
I suspect this theory is right and all, when it applies to very specific math conditions that don't exist in this case (finite set of groups, finite room per each group to store supposedly infinite information)
So this theory maybe not even meant for books\ stories\ ideas.
I have no idea what the actual theory is , but my guess is that your father\ his friends made a lousy connection between the theory and ideas... (people love to do it- it doesn't matter how smart they are, they always make stupid comparisons at some point in their lives)
If you find out later the initial thing your father said was wrong- I hope that you will feel better
Of course, maybe your father did make the right connection between that theory and stories/books... That's why I want to know what the real theory is about.
By the way, it reminds me of a paradox of Achilles and the Tortoise.
They've proven (with math) that Achilles can never pass the Tortoise. But it still was wrong, because they didn't take everything into account... it could be certainly right in some specific mathematical cases, but didn't apply to real life...
Anyway... for the third time... dying to know what the real, actual theory is about