Everything and More: A Compact History of Infinity by David Foster Wallace. It is a masterful and surprisingly approachable (at least for the first 3/4 of the book) look into infinity and Set Theory.
It sounds like you would enjoy Everything and More: A Compact History of Infinity, also by DFW. Fascinating read, non-fiction, both somewhat technical and easily readable.
"The task Wallace has set himself is enormously challenging: without radically compromising the complexity of the philosophy, metaphysics, or mathematics that underlies the evolving concept of infinity, present the material to a lay audience in a manner that is entertaining."
https://www.amazon.com/Everything-More-Compact-History-Infinity/dp/0393339289
"DFW's strong suit certainly wasn't in math"
Huh?https://www.salon.com/2012/11/27/david\_foster\_wallace\_mathematician/
He studied math and logic, his writing refers to arcane mathematical concepts, and he wrote a book about set theory:
https://www.amazon.com/Everything-More-Compact-History-Infinity/dp/0393339289
"DFW's strong suit certainly wasn't in math"
Huh?
https://www.salon.com/2012/11/27/david\_foster\_wallace\_mathematician/
He studied math and logic, his writing refers to arcane mathematical concepts, and he wrote a book about set theory:
https://www.amazon.com/Everything-More-Compact-History-Infinity/dp/0393339289
It has been a while, but I really, really liked Everything and More, the book David Foster Wallace put together with (I believe) the research he did while preparing and writing Infinite Jest, https://smile.amazon.com/Everything-More-Compact-History-Infinity/dp/0393339289/. Foster Wallace was professionally a novelist—but he was a philosopher (more or less) by training.
I would be interested in Everything and More: A Compact History of Infinity
Is that a possibility?
I invite you to read a couple of books, both of which I really enjoyed.
One, Two, Three...Infinity by George Gamow (that link is almost certainly an act of piracy, but I doubt the author would mind because he dedicated his life to spreading knowledge), and
Everything and More by David Foster Wallace. That's a publication which is so recent that if you want to read it, you'll have to cough up money. Go ahead and do it: it's so interesting that it's worth the eight bucks for the e-book easily. Don't worry, it's not an affiliate link, I stand to gain nothing from your purchase.
Both of those books talk about the mind-blowing idea that there are multiplie levels of infinity, with some infinities being much bigger than other infinities. The state of the art in thinking about infinities is so brain-hurting that David Foster Wallace's book was published 40 years after George Gamow's book, and includes a relatively small number of concepts that weren't in the older book (which isn't to say that they're insignificant--they're ideas about infinity so by necessity they're huge). One of the things I liked about David Foster Wallace's book is that it actually has a formula for quantifying how much bigger a higher-level infinity is than a lower-level infinity. Nobody in Gamow's day had come up with anything like that yet, they were just waving their arms talking about "huge" and "huger".
not sure why this is downvoted, it's a pretty good read. Maybe people think you are talking about Infinite Jest rather than his biography of Cantor? Here's the book op means: http://www.amazon.com/Everything-More-Compact-History-Infinity/dp/0393339289