Arithmetic is one of the foundations of our educational systems, but what exactly is it? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status.
Arithmetic is one of the foundations of our educational systems, but what exactly is it? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Markus Pantsar is a Visiting Professor at the RWTH Aachen University, Germany, and Docent in theoretical philosophy at the University of Helsinki, Finland. He is the author of Truth, Proof, and Gödelian Arguments: A Defence of Tarskian Truth in Mathematics (2009), and many journal articles on the cognitive foundations of arithmetical knowledge.
Inhaltsangabe
Preface Introduction: a fractured landscape Part I. Ontogeny: 1. Proto-arithmetical 2. Acquisition of number concepts 3. Enculturation Part II. Phylogeny and History: 4. The phylogeny and cultural history of number concepts 5. The Development of arithmetic 6. Cumulative cultural evolution Part III. Epistemology and Ontology: 7. Conventionalism and intersubjectivity 8. The character of arithmetical knowledge 9. Ontological considerations Conclusion Bibliography Index.
Preface Introduction: a fractured landscape Part I. Ontogeny: 1. Proto-arithmetical 2. Acquisition of number concepts 3. Enculturation Part II. Phylogeny and History: 4. The phylogeny and cultural history of number concepts 5. The Development of arithmetic 6. Cumulative cultural evolution Part III. Epistemology and Ontology: 7. Conventionalism and intersubjectivity 8. The character of arithmetical knowledge 9. Ontological considerations Conclusion Bibliography Index.
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