normal numbers and the books that can be written
Normal numbers are quite interesting - they have every substring of numbers in them. So an encoding of every book is in them, if you use, for example, ASCII. You'll get a sequence of numbers that encode every book somewhere in the number. They don't know if pi is a normal number, btw. If you go far enough along the normal number's digits, you'll get a sequence that encodes any string in subsequent ASCII. For example, 90113 would encode "i am". Where 9=i, 0=space, 1=a and 13=m (There's a couple of "artificial" normal numbers that have been constructed. So they exist, and are computable.) So a question occurred to me. Say there's a place in the digits of a normal number where the encoding of a book starts. Call that B. For any book, B is going to be pretty big. Say, for example, the encoding of "the catcher in the rye" starts at the ten trillionth digit of this normal number - ASCII translation of the digits after 10 trill...