Frege’s definition of the real numbers, as envisaged in the second volume of Grundgesetze der Arithmetik, is fatally flawed by the inconsistency of Frege’s ill-fated Basic Law V. Werestate Frege’s definition in a consistent logical framework and investigate whether it canprovide a logical foundation of real analysis. Our conclusion will deem it doubtful that sucha foundation along the lines of Frege’s own indications is possible at all.
Frege's Theory of Real Numbers: A Consistent Rendering / Boccuni, F., Panza, M.. - In: THE REVIEW OF SYMBOLIC LOGIC. - ISSN 1755-0203. - 15:3(2022), pp. 624-667. [10.1017/S175502032000026X]
Frege's Theory of Real Numbers: A Consistent Rendering
Francesca Boccuni
Co-primo
;
2022-01-01
Abstract
Frege’s definition of the real numbers, as envisaged in the second volume of Grundgesetze der Arithmetik, is fatally flawed by the inconsistency of Frege’s ill-fated Basic Law V. Werestate Frege’s definition in a consistent logical framework and investigate whether it canprovide a logical foundation of real analysis. Our conclusion will deem it doubtful that sucha foundation along the lines of Frege’s own indications is possible at all.| File | Dimensione | Formato | |
|---|---|---|---|
|
freges-theory-of-real-numbers-a-consistent-rendering.pdf
solo gestori archivio
Tipologia:
PDF editoriale (versione pubblicata dall'editore)
Licenza:
Tutti i diritti riservati
Dimensione
450.63 kB
Formato
Adobe PDF
|
450.63 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
2101.01643v1_arxiv.pdf
accesso aperto
Tipologia:
Post-print (versione valutata in peer review)
Licenza:
Creative commons
Dimensione
551.5 kB
Formato
Adobe PDF
|
551.5 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
