Can I read Inexhaustibility: A Non-Exhaustive Treatment (Lecture Notes in Logic, Vol. 16) (Lecture Notes in Logic, 16) on EtoBox?

Inexhaustibility: A Non-Exhaustive Treatment (Lecture Notes in Logic, Vol. 16) (Lecture Notes in Logic, 16) by Torkel Franzen, T. Franze, Torkel Franzén is a book available to read on EtoBox.

What is Inexhaustibility: A Non-Exhaustive Treatment (Lecture Notes in Logic, Vol. 16) (Lecture Notes in Logic, 16) about?

Gdel's Incompleteness Theorems are among the most significant results in the foundation of mathematics. These results have a positive any system of axioms for mathematics that we recognize as correct can be properly extended by adding as a new axiom a formal statement expressing that the original system is consistent. This suggests that our mathematical knowledge is inexhaustible, an essentially philosophical topic to which this book is devoted. Basic material in predicate logic, set theory and recursion theory is presented, leading to a proof of incompleteness theorems. The inexhaustibility of mathematical knowledge is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results necessary to understand the arguments are introduced as needed, making the presentation self-contained and thorough.

Author

Torkel Franzen, T. Franze, Torkel Franzén

Publisher

Urbana, Ill.: Association for Symbolic Logic ; Wellesley, Mass.: A K Peters

Published

2004

Language

EN

ISBN

9781568811758

Subjects

Mathematics, Philosophy, Stem