Origins and Varieties of Logicism

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 Werthverlaeufe. 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 Cantu

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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• Filosofia: a lógica
• Filosofia da Matemátuca
• Filosofia ocidental, desde ~ 1900

Abstraction Principles;Natural Numbers;Francesca Boccuni;Hume's Principle;Andrea Sereni;Singular Terms;Patricia Blanchette;Peano Arithmetic;Marco Panza;Mathematical Practice;Robert May;Cardinal Number;Kevin C. Klement;Logical Empiricism;Georg Schiemer;Frege's View;Stefan Roski;Genuine Singular Term;Erich Reck;Vice Versa;Mirja Hartimo;Logical Objects;Paola Cantu;Geometric Calculus;Michael Hallett;Number Concepts;Matthias Schirn;Principia Mathematica;Fiona Doherty;Higher Order Logic;Roy T. Cook;Frege's System;Bob Hale;Collective Combination;Salvatore Florio;Logicist Thesis;Gregory Landini;Burali Forti's Contradiction;Lieven Decock;Ordinal Numbers;Frege;Ordinal Abstraction;Bertrand Russell;Recursive Analysis;Bolzano;Frege's Ontology;Carnap;Husserl's View;Dedekind;Husserl;Peano;Hilbert;Goedel;Wittgenstein;logicism;philosophy of mathematics;history of mathematics;logic;set theory;neo-Logicism;abstractionism;mathematical cognition;structuralism;formalism;arithmetical truths;reference;cardinality