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Cook, Roy T.

The Arché Papers on the Mathematics of Abstraction

Cook, Roy T. - The Arché Papers on the Mathematics of Abstraction, ebook

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ISBN: 9781402042652
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Table of contents

1. The Philosophy and Mathematics of Hume’s Principle

1. Is Hume’s Principle Analytic?
George Boolos

2. Is Hume’s Principle Analytic?
Crispin Wright

3. Frege, Neo-Logicism and Applied Mathematics
Peter Clark

4. Finitude and Hume’s Principle
Richard G. Heck

5. On Finite Hume
Fraser MacBride

6. Could Nothing Matter?
Fraser MacBride

7. On the Philosophical Interest of Frege Arithmetic
William Demopoulos

2. The Logic of Abstraction

8. “Neo-Logicist” Logic is not Epistemically Innocent
Stewart Shapiro, Alan Weir

9. Aristotelian Logic, Axioms, and Abstraction
Roy T. Cook

10. Frege’s Unofficial Arithmetic
A. Rayo

3. Abstraction and the Continuum

11. Reals by Abstraction
Bob Hale

12. The State of the Economy: Neo-Logicism and Inflation
Roy T. Cook

13. Frege Meets Dedekind: A Neo-Logicist Treatment of Real Analysis
Stewart Shapiro

14. Neo-Fregean Foundations for Real Analysis: Some Reflections on Frege’s Constraint
Crispin Wright

4. Basic Law V and Set Theory

15. New V, ZF, and Abstraction
Stewart Shapiro, Alan Weir

16. Well- and Non-Well-Founded Fregean Extensions
Ignacio Jané, Gabriel Uzquiano

17. Abstraction & Set Theory
Bob Hale

18. Prolegomenon to Any Future Neo-Logicist Set Theory: Abstraction and Indefinite Extensibility
Stewart Shapiro

19. Neo-Fregeanism: An Embarrassment of Riches
A. Weir

20. Iteration one More Time
Roy T. Cook

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Keywords: PHILOSOPHY / General PHI000000

Author(s)
Publisher
Springer
Publication year
2008
Language
en
Edition
1
Category
Philosophy
Format
Ebook
eISBN (PDF)
9781402042652

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