To say what the other guy said but shorter, real (continuous) numbers are uncountably infinite because if you tried to write out a real number you'd need a coun

To say what the other guy said but shorter, real (continuous) numbers are uncountably infinite because if you tried to write out a real number you'd need a countably infinite number of digits. For every desired length of precision n, there's an nth digit. Its an infinity squared. Things that do not require infinite other things just to write them down are countably infinite. Fractions. Integers. Complex integers etc. Language is countably infinite because there are no words with countably infinite letters nor sentences with countably infinite words.