The Infinite In Mathematics - Kaufmann Felix; Mcguinness B.F. (Curatore) | Libro Springer Netherlands 08/1978 -

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

Torna Indietro

kaufmann felix; mcguinness b.f. (curatore) - the infinite in mathematics

The Infinite in Mathematics Logico-mathematical writings


Disponibilità: Normalmente disponibile in 15 giorni

173,98 €
165,28 €

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

Pagabile anche con 18App Bonus Cultura e Carta del Docente

Facebook Twitter Aggiungi commento

Spese Gratis


Lingua: Inglese
Pubblicazione: 08/1978
Edizione: 1978


The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung. It was at that time the fullest systematic account from the standpoint of Husserl's phenomenology of what is known as 'finitism' (also as 'intuitionism' and 'constructivism') in mathematics. Since then, important changes have been required in philosophies of mathematics, in part because of Kurt Godel's epoch-making paper of 1931 which established the essential in­ completeness of arithmetic. In the light of that finding, a number of the claims made in the book (and in the accompanying articles) are demon­ strably mistaken. Nevertheless, as a whole it retains much of its original interest and value. It presents the issues in the foundations of mathematics that were under debate when it was written (and in some cases still are); , and it offers one alternative to the currently dominant set-theoretical definitions of the cardinal numbers and other arithmetical concepts. While still a student at the University of Vienna, Felix Kaufmann was greatly impressed by the early philosophical writings (especially by the Logische Untersuchungen) of Edmund Husser!' He was never an uncritical disciple of Husserl, and he integrated into his mature philosophy ideas from a wide assortment of intellectual sources. But he thought of himself as a phenomenologist, and made frequent use in all his major publications of many of Husserl's logical and epistemological theses.


The Infinite in Mathematics and its Elimination (1930).- Preface.- Analytic Table of Contents.- 1. Basic Facts of Cognition.- II. Symbolism and Axiomatics.- III. Natural Number and Set.- IV. Negative Numbers, Fractions and Irrational Numbers.- V. Set Theory.- VI. The Problem of Complete Decidability of Arithmetical Questions.- VII. The Antinomies.- Remarks on the Controversy about the Foundations of Logic and Mathematics (1931).- Questions of Logical Principle in the Investigation of the Foundations of Mathematics (ca. 1931).- I. Logic and Language.- II. Logical Sentences and Principles of Logic: Their Sense.- III. Logic and Mathematics.- Bibliography of the Published Writings of Felix Kaufman.- Bibliography of Works cited in the Present Volume.- Index of Names.

i libri che interessano a chi ha i tuoi gusti

Altre Informazioni



Condizione: Nuovo
Collana: Vienna Circle Collection
Dimensioni: 297 x 210 mm Ø 1200 gr
Formato: Copertina rigida
Pagine Arabe: 237
Pagine Romane: xvii
Traduttore: Foulkes, Paul

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.