Frege: Foundations of Arithmetic TT24: Philosophy Mods/Prelims Classes

These are the core lectures for first-year mathematics and philosophy students. We'll consider, among other things, Frege’s attack on Mill’s empiricism, Frege’s views on number ascriptions, the ‘Julius Caesar’ problem, and Frege’s attempt at a logicist reduction of arithmetic to Hume’s Principle, and ultimately to his ill-fated theory of extensions. Lecture notes: GL lecture notes TT24 [pp. 1-16].pdf Actions

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related reading

• The Foundations of Arithmetic - Wikipediaen.wikipedia.org
• Philosophy of Mathematics (Stanford Encyclopedia of Philosophy)plato.stanford.edu
• Logicism and Neologicism (Stanford Encyclopedia of Philosophy)plato.stanford.edu
• Gottlob Frege (Stanford Encyclopedia of Philosophy)plato.stanford.edu
• Benacerraf's identification problem - Wikipediaen.wikipedia.org
• Frege’s Theorem and Foundations for Arithmetic (Stanford Encyclopedia of Philosophy)plato.stanford.edu
• HUME’S PRINCIPLE, BAD COMPANY, AND THE AXIOM OF CHOICE | The Review of Symbolic Logic | Cambridge Corecambridge.org
• Gottlob Frege - Wikipediaen.wikipedia.org
• Formalism in the Philosophy of Mathematics (Stanford Encyclopedia of Philosophy)plato.stanford.edu
• The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematicswolframscience.com
• Gödel's incompleteness theorems - Wikipediaen.wikipedia.org
• Lean Game Serveradam.math.hhu.de