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- Gabriel Uzquiano (2005). Review of Michael Potter. Set Theory and its Philosophy: A Critical Introduction. [REVIEW] Philosophia Mathematica 13 (3):308-346.
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Introduction to Critical Legal Theory provides an accessible introduction to the study of law and legal theory. It covers all the seminal movements in classical, modern and postmodern legal thought, engaging the reader with the ideas of jurists as diverse as Aristotle, Hobbes and Kant, Marx, Foucault and Dworkin. At the same time, it impresses the interdisciplinary nature of critical legal thought, introducing the reader to the philosophy, the economics and the politics of law. This new edition focuses even more intently upon the narrative aspect of critical legal thinking and the re-emergence of a distinctive legal humanism, as well as the various related challenges posed by our 'new' world order. Introduction to Critical Theory is a comprehensive text for both students and teachers of legal theory, jurisprudence and related subjects.
Classifies accounts of arithmetic into four sorts according
to the resources they appeal to in constructing its subject matter.
This is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. Reassessing the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as our understanding of mathematics, Michael Potter places arithmetic at the interface between experience, language, thought, and the world.
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Critical study of Michael Potter, Reason's Nearest Kin. Philosophies of Arithmetic from Kant to Carnap. Oxford University Press, Oxford, 2000. x + 305 pages.
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Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
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