Introduction Mathematical Mathematics Philosophy Thought

Alain Badiou is one of the most inventive and compelling philosophers working in France today--a thinker who, in these days of cynical resignation and academic specialization, is exceptional in every sense. Guided by disciplines ranging from mathematics to psychoanalysis, inspired as much by Plato and Cantor as by Mao and Mallarme, Badiou's work renews, in the most varied and spectacular terms, a decidedly ancient understanding of philosophy--philosophy as a practice conditioned by truths, understood as militant processes of emancipation or transformation. This book is the first comprehensive introduction to Badiou's thought to appear in any language. Assuming no prior knowledge of his work, it provides a thorough and searching overview of all the main components of his philosophy, from its decisive political orientation through its startling equation of ontology with mathematics to its resolute engagement with its principal competition (from Wittgenstein, Heidegger, and Deleuze, among others). The book draws on all of Badiou's published work and a wide sampling of his unpublished work in progress, along with six years of correspondence with the author. Peter Hallward pays careful attention to the aspect of Badiou's work most liable to intimidate readers in continental philosophy and critical theory: its crucial reliance on certain key developments in modern mathematics. Eschewing unnecessary technicalities, Hallward provides a highly readable discussion of each of the basic features of Badiou's ontology, as well as his more recent account of appearance and "being-there." Without evading the difficulties, Peter Hallward demonstrates in detail and in depth why Badiou's ongoingphilosophical project should be recognized as the most resourceful and inspiring of his generation.

Simone Weil's philosophy of science and mathematics as an introduction to the thought of one of the most powerful philosophical and theological minds of the twentieth century.

Philosophy of mathematics - Philosophy of mathematics is that branch of philosophy which attempts to answer questions such as: "why is mathematics useful in describing nature?", "in which sense(s), if any, do mathematical entities such as numbers exist?

Foundations of mathematics - In mathematics, foundations of mathematics is a term sometimes used for certain fields of mathematics itself, namely for mathematical logic, axiomatic set theory, proof theory, model theory, and recursion theory. The search for foundations of mathematics is however also the central question of the philosophy of mathematics: on what ultimate basis can mathematical statements be called "true"?

Ordinary mathematics - In the philosophy of mathematics, ordinary mathematics is an inexact term, used to distinguish the body of most mathematical work from that of, for example, constructivist, intuitionist, or finitist mathematics.

Quasi-empiricism in mathematics - Quasi-empiricism in mathematics is the movement in the philosophy of mathematics to direct philosophers' attention to mathematical practice, in particular, relations with physics and social sciences, rather then the foundations problem in mathematics.

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Mathematics Philosophy Reading Selected - Mathematics Philosophy Reading Selected Exploring the Philosophy of Religion The text offers a rich, yet approachable, introduction to philosophy of religion for the beginning student that is distinguished by the following special features: Introductions that help prepare students for meaningful discussion of the readings Appealing mixture of classical mathematics philosophy reading selected and contemporary authors from Plato, Descartes, Kant, Paley, mathematics philosophy reading selected and Kierkegaard to contemporary thinkers such as John Hick, Richard Taylor, David Ray Griffin, mathematics philosophy reading ...

Computation in Logic Mathematics Mind Philosophy - Computation in Logic Mathematics Mind Philosophy Rails to Infinity This volume, published on the fiftieth anniversary of Wittgenstein`s death, brings together thirteen of Crispin Wright`s most influential essays on Wittgenstein`s later philosophies of language computation in logic mathematics mind philosophy and mind, many hard to obtain, including the first publication of his Whitehead Lectures given at Harvard in 1996.Organized into four groups, the essays focus on issues about following a rule computation in logic mathematics mind philosophy ...

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