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.
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.
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.
Inhaltsangabe
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
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
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