Final answer:
The term for the state of mind required for performing an attest service without compromising professional judgment is 'independence of mind'. It is essential for auditors to maintain objectivity and professional skepticism in their work.
Step-by-step explanation:
The state of mind that permits the performance of an attest service without being influenced in ways that compromise professional judgment is called independence of mind. This concept is crucial in the field of auditing and other professional services where objectivity is required. An auditor needs to be free from conflicts of interest and other biases that could affect their ability to perform their duties impartially and with professional skepticism. Independence of mind ensures that the auditor's decisions and findings are based solely on the evidence and their professional expertise, not influenced by external pressures or personal interests.