 Dec 2022

math.stackexchange.com math.stackexchange.com

My freely downloadable Beginning Mathematical Logic is a Study Guide, suggesting introductory readings beginning at subMasters level. Take a look at the main introductory suggestions on FirstOrder Logic, Computability, Set Theory as useful preparation. Tackling midlevel books will help develop your appreciation of mathematical approaches to logic.
This is a reference to a great book "Beginning Mathematical Logic: A Study Guide [18 Feb 2022]" by Peter Smith on "Teach Yourself Logic A Study Guide (and other Book Notes)". The document itself is called "LogicStudyGuide.pdf".
It focuses on mathematical logic and can be a gateway into understanding Gödel's incompleteness theorems.
I found this some time ago when looking for a way to grasp the difference between firstorder and secondorder logics. I recall enjoying his style of writing and his commentary on the books he refers to. Both recollections still remain true after rereading some of it.
It both serves as an intro to and recommended reading list for the following:  classical logics  first & secondorder  modal logics  model theory<br />  nonclassical logics  intuitionistic  relevant  free  plural  arithmetic, computability, and incompleteness  set theory (naïve and less naïve)  proof theory  algebras for logic  Boolean  Heyting/pseudoBoolean  higherorder logics  type theory  homotopy type theory
