Can Mathematics Be Proved Consistent? - Von Plato Jan | Libro Springer 07/2020 - HOEPLI.it


home libri books ebook dvd e film top ten sconti 0 Carrello


Torna Indietro

von plato jan - can mathematics be proved consistent?

Can Mathematics Be Proved Consistent? Gödel's Shorthand Notes & Lectures on Incompleteness




Disponibilità: solo 1 copia disponibile, compra subito!

Se ordini entro 6 ore e 34 minuti, consegna garantita in 48 ore lavorative
scegliendo le spedizioni Express



PREZZO
52,00 €
NICEPRICE
49,40 €
SCONTO
5%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con App18 Bonus Cultura e Carta Docenti


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 07/2020
Edizione: 1st ed. 2020





Sommario

I. Gödel's Steps Toward Incompleteness.- II. The Saved Sources on Incompleteness.- III. The Shorthand Notebooks.- IV. The Typewritten Manuscripts.- V. Lectures and Seminars on Incompleteness.- Index.- References.




Trama

Kurt Gödel (1906–1978) shook the mathematical world in 1931 by a result that has become an icon of 20th century science: The search for rigour in proving mathematical theorems had led to the formalization of mathematical proofs, to the extent that such proving could be reduced to the application of a few mechanical rules. Gödel showed that whenever the part of mathematics under formalization contains elementary arithmetic, there will be arithmetical statements that should be formally provable but aren’t. The result is known as Gödel’s first incompleteness theorem, so called because there is a second incompleteness result, embodied in his answer to the question "Can mathematics be proved consistent?"

This book offers the first examination of Gödel’s preserved notebooks from 1930, written in a long-forgotten German shorthand, that show his way to the results: his first ideas, how they evolved, and how the jewel-like final presentation in his famous publication On formally undecidable propositions was composed.The book also contains the original version of Gödel’s incompleteness article, as handed in for publication with no mentioning of the second incompleteness theorem, as well as six contemporary lectures and seminars Gödel gave between 1931 and 1934 in Austria, Germany, and the United States. The lectures are masterpieces of accessible presentations of deep scientific results, readable even for those without special mathematical training, and published here for the first time.







Altre Informazioni

ISBN:

9783030508753

Condizione: Nuovo
Collana: Sources and Studies in the History of Mathematics and Physical Sciences
Dimensioni: 235 x 155 mm Ø 582 gr
Formato: Copertina rigida
Pagine Arabe: 263
Pagine Romane: ix






Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.

X