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Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, 238 s.
Title in English | Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, p. 238 |
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Year of publication | 2021 |
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Description | The foundation of all mathematics is a fairly narrow area called set theory. Understanding these sets therefore plays a key role in the philosophy of mathematics. The traditional concept of a set as a set of elements that have a common property leads to the Russell paradox. Incurvati therefore proposes an iterative conception of sets that not only avoids these difficulties, but also preserves all essential properties. |
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