The Metaphysics and Mathematics of Arbitrary Objects

ISBN-13: 9781107039414 / Angielski / Twarda / 2019 / 246 str.

Leon Horsten

Opis

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.

Recenzje

'… the work constitutes an important contribution to the analytical philosophy of mathematics.' Athanase Papadopoulos, zbMATH

Spis treści

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.