Final answer:
The implication that Socrates did not adhere to any one conception of reality without it being tested by reason is True. Socrates emphasized reason as a critical tool for discovering truth, which was a cornerstone of his and Plato's philosophical inquiries.
Step-by-step explanation:
Socrates famously posited that individuals should rely on reason to seek the answers to life's fundamental questions. He only accepted those ideas that withstood rigorous analysis and scrutiny. Therefore, the statement that Socrates implied that he was not bound to any one conception of reality unless it could be tested by reason is True.
His student, Plato, expanded on this by arguing that deeper truths, or "Forms", exist beyond what our senses perceive and that discovering truth requires serious contemplation and discourse. To Plato, the physical objects we interact with are less real than the abstract ideas they represent, highlighting the ephemeral nature of the physical world as compared to the eternal Forms.