Logicism and the Philosophy of Language

Arthur Sullivan is presently a Social Science and Humanities Research Council of Canada Post-Doctoral Fellow, and a Visiting Scholar at New York University.

Preface
Notes on the Selections

Introduction



Overview
Philosophical Background


Prevalent Ideas about Semantics in Modern Philosophy
A Sketch of Kant’s Philosophy
Three Strands in Nineteenth-Century Philosophy


The Logicist Thesis


The Foundations of Mathematics
Frege’s Program
Russell’s Rediscovery of Logicism


Philosophical Logic


Modern Logic
Function and Argument
Analysis of Language as Philosophical Method


Some Disputed Issues in Early Analytic Philosophy


Meaning: Semantic Monism and Semantic Dualism
Logical Form: On Denoting
Philosophy of Logic


The Legacy of Logicism
Works Cited

Works of Gottlob Frege



Conceptual Notation (1879), Preface and Chapter 1
On the Scientific Justification of a Conceptual Notation (1882)
On the Aim of the “Conceptual Notation” (1882)
The Foundations of Arithmetic (1884), Introduction
Function and Concept (1891)
On Concept and Object (1892)
On Sense and Reference (1892)
What is a Function? (1904)
The Thought: A Logical Inquiry (1918)

Works of Bertrand Russell



Mathematics and the Metaphysicians (1901)
On Denoting (1905)
Knowledge by Acquaintance and Knowledge by Description (1911)
Logic as the Essence of Philosophy (1914)
Descriptions (1919)
Mathematics and Logic (1919)

Sources