Which phrase is correct, anima ad infinitum or anima infinita?
I want to say boundless soul, infinity soul.
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Both are possible, but the second option is probably more suitable. The phrase anima ad infinitum means roughly "soul towards the infinity" whereas anima infinita is "unbounded soul". If you want a description of the soul (it is an unbounded or infinite one), then pick anima infinita. If you want to emphasize a process towards infinity (whatever that might mean), then anima ad infinitum sounds more appropriate.