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Reading Frege's Grundgesetze (Hardcover)
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Reading Frege's Grundgesetze (Hardcover)
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Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of
Arithmetic, was intended to be his magnum opus, the book in which
he would finally establish his logicist philosophy of arithmetic.
But because of the disaster of Russell's Paradox, which undermined
Frege's proofs, the more mathematical parts of the book have rarely
been read. Richard G. Heck, Jr., aims to change that, and establish
it as a neglected masterpiece that must be placed at the center of
Frege's philosophy. Part I of Reading Frege's Grundgesetze develops
an interpretation of the philosophy of logic that informs
Grundgesetze, paying especially close attention to the difficult
sections of Frege's book in which he discusses his notorious 'Basic
Law V' and attempts to secure its status as a law of logic. Part II
examines the mathematical basis of Frege's logicism, explaining and
exploring Frege's formal arguments. Heck argues that Frege himself
knew that his proofs could be reconstructed so as to avoid
Russell's Paradox, and presents Frege's arguments in a way that
makes them available to a wide audience. He shows, by example, that
careful attention to the structure of Frege's arguments, to what he
proved, to how he proved it, and even to what he tried to prove but
could not, has much to teach us about Frege's philosophy.
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