PHIL_BA Philosophy_Frege: Foundations of Arithmetic_Prelims | University of Oxford

Expound Frege’s Objections to Mill. Do they stand up against more sophisticated empiricist accounts of arithmetic? Outline Frege’s distinction between concepts and objects. Is he right to claim that ‘the content of a statement of number is an assertion about a concept’? Assess Frege’s case for the claim that ‘every individual number is a self-subsistent object’. Explain why the Caesar problem leads Frege to drop Hume’s Principle as an explanation of the concept of Number. How should the problem be met? What did Frege hope to achieve by reducing arithmetic to logic? Does the fact that the laws of arithmetic can be derived from Hume’s Principle in second-order logic show that Frege’s project succeeds in spite of Russell’s paradox? Warning, archived lists cannot be edited and will not show up in searches. You cannot undo this operation. Warning, deleted lists cannot be recovered. You cannot undo this operation. To review student numbers associat

Expound Frege’s Objections to Mill. Do they stand up against more sophisticated empiricist accounts of arithmetic? Outline Frege’s distinction between concepts and objects. Is he right to claim that ‘the content of a statement of number is an assertion about a concept’? Assess Frege’s case for the claim that ‘every individual number is a self-subsistent object’. Explain why the Caesar problem leads Frege to drop Hume’s Principle as an explanation of the concept of Number. How should the problem be met? What did Frege hope to achieve by reducing arithmetic to logic? Does the fact that the laws