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.
สารบัญ
Diagonalization in Mathematics.- Diagonalization Lemma.- Fixed Point Theorems.- Paradoxes: Liar, Yablo’s Paradox, Curry’s Paradox.
เกี่ยวกับผู้แต่ง
Paulo Guilherme Santos is currently a Ph D 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.
หนังสืออิเล็กทรอนิกส์เพิ่มเติมจากผู้แต่งคนเดียวกัน / บรรณาธิการ
187 หนังสืออิเล็กทรอนิกส์ในหมวดหมู่นี้
