I _think_ the idea is thinking of an "interface" as "something that you use as a way to interact with something from outside an abstraction". I'd summarize their argument as reasoning that if the goal of an abstraction is to avoid having to care about the internal details of something, an interface is a way to expose a subset of ways to interact with it, and the more you expand it, the more it exposes the internals of the thing being abstracted. I don't think they necessarily mean this only in terms of programming, but you could apply this argument to a programming language interface; if you use an interface for interacting with something instead of its direct functionality, each additional method you add to the interface exposes more details of the inner value, which makes it less of an abstraction.

Assuming my interpretation is correct, I'm not sure I totally buy this argument because there doesn't seem to be an obvious way to define the "size" of an interface where it holds true. The naive way to define the size would be number of methods, but I'd argue that methods can vary so much in terms of the amount of cognitive overhead they "expose" to the user that it's not very meaningful. Consider the Movfuscator compiler[0], which compiles code into binaries only using MOV x86 instructions because it happens to be Turing complete; as complex as it might be to learn x86 assembly as a whole and start writing programs directly in it, I'm dubious that trying to do so only with MOV would somehow be easier. Put another way, an x86 instruction set that only contains the MOV instruction is not a "stronger" abstraction than the actual one because it _introduces_ complexity that doesn't exist in the original. Does adding an ADD instruction alongside MOV increase the strength of the abstraction, or weaken it? I don't think there's an answer that we'd immediately all agree on for this sort of thing.

Ultimately, I think trying to measure interfaces through the number of methods they expose is similar to trying to measure code by the number of lines in it; while there are some extreme cases where we'd likely all agree (e.g. for a fizzbuzz implementation, having 10 lines of code is probably better than thousands of lines of code[1]), we can't really come up with a good objective metric because the "target" number is based on the complexity of what you're trying to define, and we don't have a way of quantifying that complexity. I think the ideas here are still super interesting though, not because they have definitive right or wrong answers, but because thinking about stuff like this overall improves one's ability to write good software for usage by other programmers.

[0]: https://github.com/xoreaxeaxeax/movfuscator [1]: https://github.com/EnterpriseQualityCoding/FizzBuzzEnterpris...