I'm bald, now... It's called "character development".
Wollongong North Beach, New South Wales, Australia (27 November 2024).
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 have to be alone in this, academia is full of great people!
Currently Under Reading
Tim Button & Sean Walsh (2018), Philosophy and Model Theory (reading group on model theory);
José Ferreirós (2007), Labyrinth of Thought A History of Set Theory and Its Role in Modern Mathematics;
Abraham Fraenkel, Yehoshua Bar-Hillel, Azriel Lévy (1973), Foundations of Set Theory;
Akihiro Kanamori (2003), The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (reading group to learn large cardinals);
Kenneth Kunen (2013), Set Theory, (reading group to learn forcing and reading group to help younger graduate students learn set theory);
Kenneth Kunen (2010), Foundations of Mathematics (reading group to help younger graduate students learn set theory);
Forthcoming reading group on theoretical equivalence and related topics: papers by Hans Halvorson, Toby Meadows, Albert Visser, Harvey Friedman & co...
To Be Read (Hopefully...)
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;
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;
Inner Model Program and HOD Conjecture;
Order Theory:
Topology;
...