The Metaphysics and Mathematics of Arbitrary Objects

ISBN-13: 9781108706599 / Angielski / Miękka / 2021 / 250 str.

Leon Horsten

Opis

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