Read With Me
I'm bald, now...
It's called "character development".
Let's face it, this kind of stuff is better to be learned in cooperation. Below you can find a list of the books I am currently reading (with some solutions, in the future), the ones that I am planning to read and the topics I wish to learn or master. If you spot anything that interests you, or if you'd like to suggest me something, don't hesitate to hit me up, I'm always ready to discuss these topics, read something and learn about them.
Some of the readings below may be of interests for teaching purposes. The plan is to produce a synthetic document that will help both teachers and future readers (we are currently experimenting with it in the reading group on forcing).
We could see if we can organize a reading group, read some papers or just have a discussion.
You don't need to be alone in this, academia is full of great people!
Currently Under Reading
Kenneth Kunen (2013), Set Theory, (reading group to learn forcing).
To Be Read (Hopefully...)
Kenneth Kunen (2010), Foundations of Mathematics;
Michael Potter (2006), Set Theory and Its Philosophy: A Critical Introduction;
Tim Button (2021), Set Theory: An Open Introduction;
Keith Devlin (1994), The Joy of Sets: Fundamentals of Contemporary Set Theory;
Patrick Suppes (1972), Axiomatic Set Theory;
Azriel Levy (2002), Basic Set Theory
Herbert B. Enderton (1977), Elements of Set Theory;
Smullyan & Fitting (2010), Set Theory and The Continuum Problem;
Akihiro Kanamori (2008), The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings;
Davey & Priestley (2002), Introduction to Lattices and Orders;
Bert Mendelson (1990), Introduction to Topology;
Oliver & Smiley (2016), Plural Logic;
... (don't even get me started with the papers)
To Be Learned (Even more hopefully...)
Set Theory (to be black-belted)
Forcing (currently learning it);
Large Cardinals;
Ultrapower Axiom
Order Theory:
Lattices;
Ultrafilters.
Topology;
...