Final answer:
There is no specific 'The Secret of the Old Clock' to solve in the information provided. The references are to historical and philosophical discussions about clock precision and reliability, with the most notable mention being John Harrison's work on developing an accurate maritime clock for solving the longitude problem.
Step-by-step explanation:
Who solved The Secret of the Old Clock? This question seems to be confusing a fictional mystery with historical facts about clocks and timekeeping. In the context provided by the information, there is no specific "The Secret of the Old Clock" to solve; instead, there are examples of how time and clock reliability have played historical roles, such as in Bertrand Russell's philosophical example, the strategic importance of determining longitude at sea, and John Harrison's invention of the chronometer. The closest historical reference related to clock precision would be John Harrison's work in creating an accurate maritime clock to solve the problem of longitude.
In the literary sense, "The Secret of the Old Clock" is the title of the first Nancy Drew mystery novel, but that does not appear to be what the information references. Instead, the examples provided discuss the reliability and significance of clocks from a historical, philosophical, and scientific perspective, such as Russell's case about belief versus knowledge, the Enlightenment's mechanistic metaphor for the universe, and Harrison's quest to build an accurate clock for nautical navigation.
The account of the clock the man looks at refers to a hypothetical scenario proposed by Bertrand Russell that underlines the difference between true belief and knowledge. This scenario is an example of luck aligning with truth, without a necessary link to actual knowledge, showcasing a philosophical quandary rather than a factual historical event to be solved.