Let us define a "perfectly inquisitive scientist" as one who has no distractions, never gets bored with what they are doing and simply lives for the thrill of the next discovery. If we were to give this perfectly inquisitive scientist an infinite amount of resources and an infinite amount of time, would they reach the same end point regardless of where they started?
In other words... all science starts with an observation, and the best science starts with a, "huh... that is strange...". Different scientists are going to have different starts in life and will start out with a different set of observations.
Since one discovery can lead to another, given infinite time, resources and effort, will their respective starting points cause them all to converge on the same point? If so, are infinite time, resources and effort even required? Or could those quantities possibly be finite?