Final answer:
The phrase 'Time never waits for anyone' signifies that time is incessant and does not stop for any reason (option c), indicating that we must prioritize our use of the limited time we have. Russell's clock example shows that a true belief about time may not equate to true knowledge.
Step-by-step explanation:
The phrase 'Time never waits for anyone' conveys the idea that time is constant and moves on regardless of individual desires or actions. This is best represented by choice C: time keeps going and does not stop. The concept is that time is incessant; it doesn't pause for any person or for any reason. The notion reflects the scarcity of time and how it is an ubiquitous condition of human nature to prioritize how we use the limited time we have available to us.
To illustrate, the philosophical example provided by Russell (1948) of a clock that may be stopped, yet by sheer coincidence shows the correct time when viewed, emphasizes that true belief about time does not equate to knowledge. Consequently, we need to be mindful of the fact that despite our beliefs and perceptions about time, it is fundamentally an unyielding force that does not cater to our individual needs or errors.
Moreover, the principle of time's relentless progress applies universally and is not constrained by our scheduling of events or meetings. The scenario of arranging to meet on the observation deck of the Empire State Building and contemplating if time runs slower or faster at the top compared to the base invokes general relativity, which posits that the passage of time is indeed affected by gravity.
However, the effect mentioned is minuscule at the height difference we encounter in buildings and would not account for being late to an appointment by minutes. This highlights that while time is a complex concept in physics, the everyday human experience of time is straightforward: it doesn't stop or wait, and therefore, neither can we.