There's Something About Gödel: The Complete Guide to the Incompleteness Theorem

Copertina anteriore
John Wiley & Sons, 13 set 2011 - 256 pagine
Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments.
  • Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters
  • Discusses interpretations of the Theorem made by celebrated contemporary thinkers
  • Sheds light on the wider extra-mathematical and philosophical implications of Gödel’s theories
  • Written in an accessible, non-technical style

Cosa dicono le persone - Scrivi una recensione

LibraryThing Review

Recensione dell'utente  - cpg - LibraryThing

Enhanced my understanding I've often wondered how professional film critics can figure out how much of their reaction to a movie is due to its intrinsic merits and how much is based on the mood they ... Leggi recensione completa


Foundations and Paradoxes 1 This sentence is false 2 The Liar and Gcidel
Language and metalanguage
The axiomatic method or how to get the non obvious out of the obvious
Peanos axioms 6 and the unsatisfied Iogicists Frege and Russell
Bits of set theory
The Abstraction Principle
Bytes of set theory
Properties relations functions that is sets again
Cantors diagonal argument
Selfreference and paradoxes
Strings of symbols
in mathematics there is no ignorabimus 3 Godel on stage
Our first encounter with the Incompleteness
Mathematical Faith
Mind versus Computer Godel

Calculating computing enumerating that is
notion of algorithm
Taking numbers as sets of sets
Its raining paradoxes
GcJdeI versus Wittgenstein and

Altre edizioni - Visualizza tutto

Parole e frasi comuni

Informazioni sull'autore (2011)

Francesco Berto teaches logic, ontology, and philosophy of mathematics at the universities of Aberdeen in Scotland, and Venice and Milan-San Raffaele in Italy. He holds a Chaire d'Excellence fellowship at CNRS in Paris, where he has taught ontology at the École Normale Supérieure, and he is a visiting professor at the Institut Wiener Kreis of the University of Vienna. He has written papers for American Philosophical Quarterly, Dialectica, The Philosophical Quarterly, the Australasian Journal of Philosophy, the European Journal of Philosophy, Philosophia Mathematica, Logique et Analyse, and Metaphysica, and runs the entries “Dialetheism” and “Impossible Worlds” in the Stanford Encyclopedia of Philosophy. His book How to Sell a Contradiction has won the 2007 Castiglioncello prize for the best philosophical book by a young philosopher.

Informazioni bibliografiche