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History and Philosophy of Logic
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Module 3
The Crisis of Logicism and Its Aftermath
1
Russell's Paradox and Frege's Logicism
Analyse the philosophical impact of Russell's paradox on Frege's logicist project.
2
Russell's Theory of Types and the Paradoxes
Evaluate Russell's theory of types as a philosophical response to the paradoxes.
3
Russell's Theory of Definite Descriptions
Analyse Russell's theory of definite descriptions as a paradigm of philosophical analysis.
4
Neo-Logicism and Hume's Principle
Analyse the core tenets of neo-logicism, focusing on Hume's Principle as an abstraction principle.
5
Challenges to Neo-Logicism
Evaluate key philosophical challenges to neo-logicism, such as the 'bad company' objection and the Caesar problem.
Previous module
The Kantian Background and Frege's Revolution
Next module
Formal Systems and Their Philosophical Limits