The Player's Handbook states that you can get "bonus spells" for certain ability scores, but does that mean more spell slots/spells per day, more spells known, or both?
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It is referencing the Ability Scores and Spellcasters section in the chapter about ability scores. In short, you get bonus spells per day, not spells known. Extra spells known tend to be rare and difficult to get, and will spell out explicitly that this is what you’re getting.