Items related to Diagonalization in Formal Mathematics (BestMasters)

Diagonalization in Formal Mathematics (BestMasters) - Softcover

Book 85 of 91: BestMasters

Santos, Paulo Guilherme

 
9783658291105: Diagonalization in Formal Mathematics (BestMasters)
Softcover
ISBN 10: 3658291109 ISBN 13: 9783658291105
Publisher: Springer Spektrum, 2020

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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

From the Back Cover

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 Paradox
Target Groups
Researchers and students in the fields of mathematics and philosophy 

The Author
Paulo 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.

"About this title" may belong to another edition of this title.

Publisher
Springer Spektrum
Publication date
2020
Language
English
ISBN 10 
3658291109
ISBN 13 
9783658291105
Binding
Paperback
Edition number
1
Number of pages
99