the philosophy of set theory an historical introduction to cantor s paradise dover books on mathematics

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The Philosophy Of Set Theory

Author : Mary Tiles
ISBN : 9780486138558
Genre : Mathematics
File Size : 57. 23 MB
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DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

An Historical Introduction To The Philosophy Of Mathematics A Reader

Author : Russell Marcus
ISBN : 9781472529480
Genre : Philosophy
File Size : 67. 49 MB
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A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.

Philosophical Devices

Author : David Papineau
ISBN : 9780191656255
Genre : Philosophy
File Size : 62. 12 MB
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This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing. Notions like 'denumerability', 'modal scope distinction', 'Bayesian conditionalization', and 'logical completeness' are usually only elucidated deep within difficult specialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists. The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outlining the difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Gödel's theorem. Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read with pleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.

Literary Infinities

Author : Baylee Brits
ISBN : 9781501331459
Genre : Literary Criticism
File Size : 79. 29 MB
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Today, we have forgotten that mathematics was once aligned with the arts, rather than with the sciences. Literary Infinities analyses the connection between the late 19th-century revolution in the mathematics of the infinite and the literature of 20th-century modernism, opening up a novel path of influence and inquiry in modernist literature. Baylee Brits considers the role of numbers and the concept of the infinite in key modernists, including James Joyce, Italo Svevo, Jorge Luis Borges, Samuel Beckett and J.M. Coetzee. She begins by recuperating the difficult and rebellious German mathematician, Georg Cantor, for the broader artistic, cultural and philosophical project of modernism. Cantor revolutionized the mathematics of the infinite, creating reverberations across the numerical sciences, philosophy, religion and literary modernism. This 'modernist' infinity is shown to undergird and shape key innovations in narrative form, creating a bridge between the mathematical and the literary, presentation and representation, formalism and the tactile imagination.

The Bulletin Of Symbolic Logic

Author :
ISBN : UCSD:31822036000701
Genre : Logic, Symbolic and mathematical
File Size : 83. 45 MB
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Badiou And Plato

Author : A.J Bartlett
ISBN : 9780748688852
Genre : Philosophy
File Size : 63. 74 MB
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This book will help you to understand Badiou's central concepts, the philosophical relation between Badiou and Plato and will rethink the importance of Badiou's 'Platonic' claim that 'the only education is an education by truths'.

The Incident At Antioch L Incident D Antioche

Author : Alain Badiou
ISBN : 9780231527736
Genre : Philosophy
File Size : 62. 33 MB
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The Incident at Antioch is a key play marking Alain Badiou's transition from classical Marxism to a "politics of subtraction" far removed from party and state. Written with striking eloquence and extraordinary poetic richness, and shifting from highly serious emotional and intellectual drama to surreal comic interlude, the work features statesmen, workers, and revolutionaries struggling to reconcile the nature and practice of politics. This bilingual edition presents L'Incident d'Antioche in its original French and, on facing pages, an expertly executed English translation. Badiou adds a special preface, and an introduction by the scholar Kenneth Reinhard connects the play to Paul Claudel's The City, Saint Paul and the early history of the Church, and the innovative mathematical thinking of Paul Cohen. The translation includes Susan Spitzer's extensive notes clarifying allusions and quotations and hinting at Badiou's intentions. An interview with Badiou encompasses the play's settings, themes, and events, as well as his ongoing literary and conceptual experimentation on stage and off.

Infinity

Author : A. W. Moore
ISBN : UOM:39015029074484
Genre : Philosophy
File Size : 48. 99 MB
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Great Events From History

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ISBN : 1587653303
Genre : History
File Size : 83. 20 MB
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Contains essays that examine significant events in the history of the early twentieth century from 1901 to 1940, covering world politics, society and culture, literary movements, art and music, immigration, and legislation; arranged chronologically with maps, illustrations, and quotations for primary souce documents.

American Book Publishing Record

Author :
ISBN : UOM:39015066043178
Genre : American literature
File Size : 26. 97 MB
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