Nit: digital is a circuit with discrete states. There need not be only two. Some early computers had three-level states for their internal storage, and even today we find more than two states in e.g. MLC SSDs.
To further confuse things, I see no real reason to assume that "analog" necessarily means continuous states, e.g. when the analog circuit is mirroring some real-world process that itself has only discrete states.
Which is what makes discussions like these so amusing and pointless. Words mean whatever people choose to agree that they mean. Different people can take different meanings for "digital" and "analog" than other different people, and still have successful conversations, as long as they make clear what it is they mean when they use those words.