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This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism.
List of contents
1. Origins and Varieties of Logicism: An Overview
Francesca Boccuni and Andrea Sereni
Part I. Origins
2. Frege on Caesar and Hume’s Principle
Patricia Blanchette
3. The Role of Truth
Robert May
4. Anzahlen and Werthverläufe. Are there Objects other than Value-Ranges in Frege’s Universe? An Argument from Grundgesetze, §§ I.34-40
Marco Panza
5. Dedekind’s Logicism: A Reconsideration and Contextualization
Erich Reck
6. Logical Form and the Development of Russell’s Logicism
Kevin C. Klement
Part II. Dangerous Liaisons
7. Frege and Hilbert on Conceptual Analysis and Foundations: Some Remarks
Michael Hallett
8. The Chimera of Logicism: Husserl’s Criticism of Frege
Mirja Hartimo
9. Peano’s Philosophical Views between Structuralism and Logicism
Paola Cantù
10. Logicism in Logical Empiricism
Georg Schiemer
Part III. The Roads Ahead
11. Ordinals by Abstraction
Bob Hale
12. Logicism, Separation, and Complement
Roy T. Cook
13. Principia Mathematica Redux
Gregory Landini
14. The Ontology of Abstraction, from Neo-Fregean to Neo-Dedekindian Logicism
Fiona Doherty
15. Frege’s Theorem and Mathematical Cognition
Lieven Decock
About the author
Francesca Boccuni is Associate Professor at Vita-Salute San Raffaele University, Milan. She published articles in scientific journals and collected volumes, edited collections in the philosophy of mathematics and logic.
Andrea Sereni is Associate Professor at the School for Advanced Studies IUSS Pavia. He has published essays and books, as well as edited special issues and collections in the epistemology and philosophy of mathematics and logic.
Summary
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism.
