You should know the tables for the day that will come when your computer gives out that error message, Windows Subscription Expired. Garbage in and garbage out. Knowing the tables allows the computer diver to evaluate the validity of what his computer is telling him and to complete a dive safely when it fails. Oh, you carry two to cross check, ok, which one is right? Your brain is a computer, the best ever made.
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What you should know is what's behind the tables and the computer. If you have to keep looking at the tables then you haven't learned those and that's not any better than having to keep staring at a computer.
It's a silly argument however for anyone to suggest that it's one or the other. Everyone should be able to read a computer, dive table, and a book for that matter.