Triggered abilities use the words 'when,' 'whenever,' or 'at.' Each time a trigger condition is met, a new instance of that ability is placed on the stack independently (CR 603.2). So yes, a single card can generate multiple triggered ability instances in the same turn if its trigger condition is met multiple times.
However, 'going infinite' — creating an unbounded loop of triggers — requires that each trigger resolution creates the condition for the next trigger again, without any natural stopping point. CR 726 covers infinite loops: if a loop is truly infinite and involuntary, the game ends in a draw; if a player controls it, they must eventually choose to stop (CR 726.1).
A key limitation is that most loops also require additional resources (mana, sacrificing permanents, etc.), or the card's own wording prevents pure self-sustaining loops. Players who set up a loop they control must announce how many times it repeats and shortcut through it (CR 726.2).
Concrete example: Monastery Mentor triggers whenever you cast a noncremental spell, creating a Monk token. Casting spells one after another puts multiple triggers on the stack — but each requires you to cast a new spell, so it's not self-sustaining infinite. Compare to Hailfire loops with Grim Monolith combos where resolving triggers produces mana to activate abilities again — those can be announced as finite repetitions.
Unofficial fan resource — not affiliated with or endorsed by Wizards of the Coast. Answers are AI-generated estimates grounded in the Comprehensive Rules and are not a substitute for an official judge. Verify anything match-critical.