When should I use and when should I not use a comma in appositives? What's the difference in the given sentences? Would it be much better if I omitted the commas?
1. His mother Jane is kind.
2. His mother, Jane, is kind.
3. His sister Jane is kind. 4.
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3. His sister Jane is kind.
4. His sister, Jane, is kind.
(3) implies that he has more than one sister, while (4) implies that he has only one. Strictly speaking the same is true of your "mother" sentences, but since it is obvious from common knowledge that someone has only one mother, the difference is not so noticeable.