Frege's Logical Theory [Book Review]

Review of Metaphysics 22 (3):579-580 (1969)
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Abstract

This book is far more than an exposition of Frege's logical system and semantic concepts, although it is that. The author puts forward the challenging thesis that in trying to cope with Russell's paradox Frege deserted principles of his system which he had relied on throughout. Sternfeld attempts to show, by offering his own interpretation of Frege's logical theory, that if Frege had relied consistently on his previously formulated logical principles, Russell's paradox would have given him no trouble. Further, he uses these arguments as a basis for defending the general thesis that paradoxes and other difficulties with various logical systems can only be discussed relative to the philosophical principles underlying the logical system and adopted independently of it. While these are the most challenging of the book's theses they are not its only topics. The author seems to have read everything by and about Frege and is in control of his material. There will undoubtedly be disagreements over his interpretation of Frege because Frege did not write to make expositors happy. But all students of Frege, as well as students of the philosophy of logic and philosophy of mathematics, will find this book rewarding.--R. H. K.

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