Authors
Abstract
Georg Cantor, the founder of set theory, cared much about a philosophical foundation for his theory of infinite numbers. To that end, he studied intensively the works of Baruch de Spinoza. In the paper, we survey the influence of Spinozean thoughts onto Cantor’s; we discuss Spinoza’s philosophy of infinity, as it is contained in his Ethics; and we attempt to draw a parallel between Spinoza’s and Cantor’s ontologies. Our conclusion is that the study of Spinoza provides deepening insights into Cantor’s philosophical theory, whilst Cantor can not be called a ‘Spinozist’ in any stricter sense of that word.Keywords: Georg Cantor; Baruch de Spinoza; Infinity in philosophy and mathematics; Transfinite numbers; Set theory; Infinity and pantheism.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.shpsa.2008.12.010
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 69,018
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

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Cantor’s Absolute in Metaphysics and Mathematics.Kai Hauser - 2013 - International Philosophical Quarterly 53 (2):161-188.
Taming the Infinite.A. W. Moore - 1997 - Foundations of Science 2 (1):53-56.
Cantor on Infinity in Nature, Number, and the Divine Mind.Anne Newstead - 2009 - American Catholic Philosophical Quarterly 83 (4):533-553.
Infinity in Science and Religion. The Creative Role of Thinking About Infinity.Wolfgang Achtner - 2005 - Neue Zeitschrift für Systematicsche Theologie Und Religionsphilosophie 47 (4):392-411.
Towards a Biography of Georg Cantor.I. Grattan-Guinness - 1971 - Annals of Science 27 (4):345-391.
A Pantheist in Spite of Himself: Craig, Hegel, and Divine Infinity.Russell Dumke - 2016 - International Journal for Philosophy of Religion 80 (3):243-257.

Analytics

Added to PP index
2010-09-02

Total views
137 ( #84,021 of 2,498,498 )

Recent downloads (6 months)
1 ( #426,910 of 2,498,498 )

How can I increase my downloads?

Downloads

My notes