The position on the mind-body question claiming that both mental events and bodily responses occur simultaneously even though the two events are independent of each other is called:

Psycho-physical Parallelism

Explanation:

According to my research on studies conducted by various Medical Professionals, I can say that based on the information provided within the question the term being described is called Psycho-physical Parallelism. This term is defined as a theory where mental and bodily events in sync and perfectly coordinated, without any interaction between them.

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