From Traditional Set Theory – that of Cantor, Hilbert , Gödel, Cohen – to Its Necessary Quantum Extension


Authors
Edward G. Belaga
Strasbourg University
Abstract
The original purpose of the present study, 2011, started with a preprint «On the Probable Failure of the Uncountable Power Set Axiom», 1988, is to save from the transfinite deadlock of higher set theory the jewel of mathematical Continuum — this genuine, even if mostly forgotten today raison d’être of all traditional set-theoretical enterprises to Infinity and beyond, from Georg Cantor to David Hilbert to Kurt Gödel to W. Hugh Woodin to Buzz Lightyear.
Keywords quantum set theory  Zermelo axiomatic  transfinite arithmetic
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

What is Required of a Foundation for Mathematics?John Mayberry - 1994 - Philosophia Mathematica 2 (1):16-35.
On Interpretations of Bounded Arithmetic and Bounded Set Theory.Richard Pettigrew - 2009 - Notre Dame Journal of Formal Logic 50 (2):141-152.
Hilberts Logik. Von der Axiomatik zur Beweistheorie.Volker Peckhaus - 1995 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 3 (1):65-86.
Is Any Set Theory True?Joseph S. Ullian - 1969 - Philosophy of Science 36 (3):271-279.
Idealist and Realist Elements in Cantor's Approach to Set Theory.I. Jane - 2010 - Philosophia Mathematica 18 (2):193-226.
The Origins of Zermelo's Axiomatization of Set Theory.Gregory H. Moore - 1978 - Journal of Philosophical Logic 7 (1):307 - 329.

Analytics

Added to PP index
2011-06-18

Total views
301 ( #22,699 of 2,309,542 )

Recent downloads (6 months)
26 ( #30,048 of 2,309,542 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature