So let’s borrow from Henri Poincaré for our next Gedankenexperiment,
Suppose the kindly gas people of Sigma Alpha Tau wonder how high the heavens go. Sigma Alpha Tau is a Jovian-like gas giant wherein float the gasatroids who wander about in their world in peace and contentment and are happily filled with an insatiable curiosity. Their planet has a curious property, as you move toward the outer reaches it gets colder and the gasatroids shrink, as does all their ‘stuff’. In the outer reaches of their planet it is near absolute zero. They also have no concept of temperature (being the floaty sort of things they are).
They decide to investigate just how high the heavens are. So they contrive to build a great ladder into the sky. They start—taking sections of ladder to the top, securing them, then climbing higher and attaching more sections. But alas, unbeknownst to the good folk, they are shrinking proportionally as they go higher. As they move into the upper reaches of the atmosphere, they are attaching ever tinier sections of ladder to their shrinking apparatus. After spending fortunes upon fortunes of ladder sections they soon realize the truth. Their sky is of infinite size.
Now stipulate the physics and answer the question: “Because science is so tied to measurement, in what ways might our own efforts be subverted by changing scales?” The problem is more than about recognizing our assumptions (which of course is part of the problem), but explore in which ways might be we be undermined by not just unconceived alternatives, but unconceivable alternatives.