Metaphysics and Mathematics of Arbitrary Objects

Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.

Sommario

1. Introduction; 2. Metaphysics of mathematics; 3. Arbitrary objects; 4. Mathematical objects as arbitrary objects; 5. Structure in mathematics; 6. Mathematical structures; 7. Kit fine; 8. Generic systems and mathematical structuralism; 9. Reasoning about generic w-sequences; 10. Probability and random variables; 11. Directions for future research.

Info autore

Leon Horsten is Professor of Philosophy at the University of Bristol. His publications include The Tarskian Turn: Deflationism and Axiomatic Truth (2011) and Gödel's Disjunction: The Scope and Limits of Mathematical Knowledge (co-edited with Philip Welch, 2016).

Riassunto

This book develops a new theory of arbitrary entities and connects it to issues and debates in metaphysics and contemporary philosophy of mathematics. It investigates the relation between particular and arbitrary objects, and between particular and arbitrary systems of objects. These concepts are then applied to problems in philosophy of mathematics.

Dettagli sul prodotto

• Autori: Leon Horsten, Leon (University of Bristol) Horsten, Horsten Leon
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 31.05.2019
• EAN: 9781107039414
• ISBN: 978-1-107-03941-4
• Pagine: 246
• Categorie: Saggistica > Filosofia, religione > Filosofia: tematiche generali, opere di consultazione; Scienze naturali, medicina, informatica, tecnica > Scienze naturali, tematiche generali; Scienze umane, arte, musica > Filosofia > Tematiche generali, enciclopedie; SCIENCE / Philosophy & Social Aspects, Philosophy: metaphysics & ontology, Philosophy of Mathematics, Philosophy: metaphysics and ontology