Stefania (Hrsg.) Centrone

Reflections on the Foundations of Mathematics

Univalent Foundations, Set Theory and General Thoughts

Ebook (PDF Format)

This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives.The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has wide… Mehr

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Produktdetails

Weitere Autoren: Sarikaya, Deniz (Hrsg.) / Kant, Deborah (Hrsg.)

ISBN: 978-3-030-15655-8
EAN: 9783030156558
Produktnummer: 32980687
Verlag: Springer
Sprache: Englisch
Erscheinungsjahr: 2019
Plattform: PDF
Masse: 7'135 KB

Über den Autor

Stefania Centrone is currently Privatdozentin at the University of Hamburg and was deputy Professor of Theoretical Philosophy at the Georg-August-Universität Göttingen. In 2012 she was awarded a DFG-Eigene Stelle for the project Bolzanos und Husserls Weiterentwicklung von Leibnizens Ideen zur Mathesis Universalis at the Carl-von-Ossietzky University of Oldenburg. She is author/editor, among others, of the volume Logic and philosophy of Mathematics in the Early Husserl (Springer 2010) and Studien zu Bolzano (Academia Verlag 2015).Deborah Kant studied mathematics at Free University and Humboldt University in Berlin, and specialized in set theory and logic. At the DMV Students' Conference 2015 in Hamburg, her talk about her master's thesis Cardinal Sequences in ZFC was being awarded. Since 2015, she is a PhD student at the Humboldt University Berlin under the supervision of Karl-Georg Niebergall with a project on naturalness in set theory.Deniz Sarikaya is PhD-Student of Philosophy (BA: 2012, MA: 2016) and studies Mathematics (BA: 2015) at the University of Hamburg with experience abroad at the Universiteit van Amsterdam and Universidad de Barcelona. He stayed a term as a Visiting Student Researcher at the University of California, Berkeley developing a project on the Philosophy of Mathematical Practice concerning the Philosophical impact of the usage of automatic theorem prover and as a RISE research intern at the University of British Columbia. He is mainly focusing on philosophy of mathematics and logic.