In search of \(\aleph_{0}\): how infinity can be created

DOI10.1007/s11229-015-0775-4zbMath1369.03065OpenAlexW652242727MaRDI QIDQ510717

Markus Pantsar

Publication date: 14 February 2017

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-015-0775-4

zbMATH Keywords

metaphorinfinityprocessobject\(\aleph_{0}\)arithmetical cognition

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Ordinal and cardinal numbers (03E10)

Related Items (5)

Bootstrapping of integer concepts: the stronger deviant-interpretation challenge (and how to solve it) ⋮ Mathematical cognition and enculturation: introduction to the synthese special issue ⋮ Absence perception and the philosophy of zero ⋮ A fresh look at research strategies in computational cognitive science: the case of enculturated mathematical problem solving ⋮ Two roads to the successor axiom

Cites Work

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• An empirically feasible approach to the epistemology of arithmetic
• Finite and infinite sets: definitions and intuitions
• Advanced mathematical thinking

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