Article ID: CBB000931166

The Influence of Spinoza's Concept of Infinity on Cantor's Set Theory (2009)

unapi

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.

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https://data.isiscb.org/isis/citation/CBB000931166/

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Authors & Contributors
Ferreirós, José
Moore, Gregory H.
Medvedev, F. A.
Grattan-Guinness, Ivor
Gambetta, Emanuele
Tapp, Christian
Concepts
Set theory
Mathematics
Infinity
Philosophy of mathematics
Philosophy
Logic
Time Periods
19th century
20th century, early
20th century
Medieval
17th century
Places
Germany
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