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That's exactly how it should be. It's fine to have your phone nearby in case someone calls for an emergency or something similar, but keeping your hands free of the phone should be a rule at mealtimes. I also don't see anything wrong with breaking the rules once in a while, for example, having breakfast while watching cartoons on a Sunday morning. It's fun once in a while, but being distracted by a screen all the time at mealtimes is unpleasant and a bad habit.
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I was raised before there were phones, so the rules I had to abide by and then subsequently stuck with were:
I appreciate being raised like that and I appreciate living like that. I do break the rule when I'm eating alone though. I should probably change that.