I've been trying to find a way to make reference to Lewis Carrol's "Through the Looking Glass." It's basic but the whole premise of the story is that Alice enters a mirror image of her world, but everything is reversed, including logic. It very much reminds me of this story where Louise, through learning this language, is able to think in the complete opposite way that she is used to.

I held out hope that the times this story mentioned "the looking glass" was not a coincidence, and I like to think it wasn't.

I find the author's use of tense to be very interesting in this story. It's past and future, which is exactly what their going for. Because the Heptapods do not think in a such a linear fashion, the more Louise learns the language, the less she thinks in a beginning to end mindset. Her memories turn similar to the Heptapod's written language, nothing broken down, just a giant image. She's literally seeing the big picture.

Now we're starting to see how Louise's mind works as a result of thinking and working in the Heptapod's language. This is the first time we see her simultaneously think of her past/present/future at once during this meeting. If it's anything like Arrival, which honestly prepared me for this story, we'll see that linear thinking and living is irrelevant in the Heptapod's language.