Bøker av Torkel Franzen

"Among the many expositions of G del's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del"

This text is concerned with the concept that our mathematical knowledge is inexhaustible. Basic material in predicate logic, set theory and recursion theory is presented, leading to a proof of incompleteness theorems.