Einstein's lesser-known 'blunder'

In this talk, I will start by describing Einstein's original understanding of coordinate systems and how that understanding led to the hole argument and a detour in the creation of general relativity.

Then I'll argue that, as usual, Einstein's intuitions were mostly right. But these intuitions are best realized by mathematical tools called representational conventions, and what is known in philosophy of logic as descriptive designation. We can understand these as physically anchored coordinate systems, and, more generally, physically anchored reference frames. Finally, I will discuss how these tools must be pressed into action once we consider how to represent superpositions of models of theories with non-trivial isomorphisms.