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
Authors

ŠTĚPÁNEK Jan

Year of publication 2021
MU Faculty or unit

Faculty of Arts

Citation
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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