In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo's paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics. Contents

• Diagonalization in Mathematics
• Diagonalization Lemma
• Fixed Point Theorems
• Paradoxes: Liar, Yablo's Paradox, Curry's ParadoxTarget GroupsResearchers and students in the fields of mathematics and philosophy The AuthorPaulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and atUniversity of Tübingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.

Autorentext
Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tubingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.

Inhalt
Diagonalization in Mathematics.- Diagonalization Lemma.- Fixed Point Theorems.- Paradoxes: Liar, Yablo's Paradox, Curry's Paradox.