Here are some notes for study and propaganda purpose. They probably contain tons of errors. Comments are much appreciated.

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All sets are measurable
Introduction to ordinals and other fundamental concepts in logic and set theory.

We don't know and we will never know
Introduction to descriptive set theory.

forcing
An exposition of forcing using the Boolean-valued model approach.

cardinal arithmetic
Study notes of Jech chapter 24.

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Slides for talks I've given on random topics:

p-adic numbers and linear recurrence relations

Why can you double a ball but not a pizza

Representation of self-distributive systems on digraphs

Hilbert's tenth problem

Can the fundamental group of a space be the rationals?

Calculus IV

Undecidability of the word problem

Mordell's theorem slides notes