Thanks to NetGalley and Basic Books for the chance to read a copy of this book!
This book is divided into three parts: an introduction to logic, a discussion of logic's limits (such as paradoxes), and "Beyond Logic," her core arguments about how to use logical principles in the real world. I loved the first two, but the third one started to wear on me. The strength of this book in how it is an accessible introduction to logic with real-world examples. On the other hand..."weakness" isn't the right word as this is very clearly a deliberate choice, but it started to grate on me that this book's real-world examples are basically a handbook for smug liberals on Why Conservatives Are Illogical and Wrong. I admit, I kind of am part of the target audience, but as political examples became more and more frequent, the pandering got tiresome.
The introduction to logic starts from the very beginning and talks a lot about the use of abstraction to temporarily distance from what might happen in real life (1+1=2 mathematically, but if you give a child 1 cookie then 1 cookie they will probably eat them and there will be 0 cookies), and things like If X then Y, or how the opposite of something is different from a logical negation. "Everything is purple" and "nothing is purple" are opposites, but the statement "everything is purple" can be disproved with just one non-purple thing. She introduced concepts in a way that was very easy to understand and had some fun examples, like when she tries to demonstrate the Intermediate Value Theorem with cookies (if she bakes cookies of every size from tiny to huge, somewhere in that range will be your perfect cookie) (note, this example actually comes later in the book).
I really enjoyed the middle section on logic's limits. The highlight for me was the chapter on famous paradoxes, from Zeno's Paradox to Hilbert's Hotel. And don't worry, she explains what all of them are. I also enjoyed reading about the ways that humans try to navigate the illogical world with systems like trial by jury, peer review, and game theory.
As I mentioned, the final section was my least favorite part of the book. I believe that humans are messy and illogical and contradictory and that's part of being human, while this part was all about how to be a logical person by having internally consistent guiding principles. And lots and lots of current-events examples, many of which I've seen shared on my Facebook feed dozens of times -- things like why "All lives matter" is a straw-man argument, or why it's illogical to like the ACA but hate Obamacare.
I agree with some other comments I've seen, that this book might not make as much sense as we get farther away from its publication date, which makes me sad because I think the logical principles and paradoxes are fabulous. But it's clearly a deliberate move to apply logic to current events, and so this will appeal to a very specific audience. Ultimately, I have mixed feelings about this book. I refreshed a lot of my knowledge and skimmed past some of the political examples that I've seen beat to death, and overall enjoyed my personal reading experience, but I would only recommend it to someone who aligns with US liberal politics.