Being and Event / Edition 1

Being and Event / Edition 1

by Alain Badiou, Oliver Feltham
     
 

ISBN-10: 082649529X

ISBN-13: 9780826495297

Pub. Date: 07/15/2007

Publisher: Bloomsbury Academic

Being and Event is the centrepiece of Alain Badiou's oeuvre; it is the work that grounds his reputation as one of France's most original philosophers. Long-awaited in translation, Being and Event makes available to an English-speaking readership Badiou's groundbreaking work on set theory - the cornerstone of his whole philosophy. This book makes the scope and aim of

Overview

Being and Event is the centrepiece of Alain Badiou's oeuvre; it is the work that grounds his reputation as one of France's most original philosophers. Long-awaited in translation, Being and Event makes available to an English-speaking readership Badiou's groundbreaking work on set theory - the cornerstone of his whole philosophy. This book makes the scope and aim of Badiou's whole philosophical project clear, enabling full comprehension of Badiou's significance for contemporary philosophy. In Being and Event, Badiou anchors this project by recasting the European philosophical tradition from Plato onwards, via a series of analyses of such key figures as Descartes, Spinoza, Leibniz, Hegel, Rousseau, and Lacan. He thus develops the basis for a history of philosophy rivalling those of Heidegger and Deleuze in its depth. This wide-ranging book is organized in a precise and novel manner, reflecting the philosophical rigour of Badiou's thought. The English language edition includes a new preface, written especially for this translation.

About the Author:
Alain Badiou teaches at the Ecole Normale Superieure and the College International de Philosophie in Paris

Product Details

ISBN-13:
9780826495297
Publisher:
Bloomsbury Academic
Publication date:
07/15/2007
Edition description:
New Edition
Pages:
560
Product dimensions:
5.00(w) x 7.70(h) x 1.40(d)

Table of Contents


Author's Preface     xi
Translator's Preface     xvii
Introduction     1
Being: Multiple and Void. Plato/Cantor
The One and the Multiple: a priori conditions of any possible ontology     23
Plato     31
Theory of the Pure Multiple: paradoxes and critical decision     38
Technical Note: the conventions of writing     49
The Void: Proper name of being     52
The Mark [emptyset]     60
The same and the other: the axiom of extensionality     60
The operations under condition: axioms of the powerset, of union, of separation and of replacement     62
The void, subtractive suture to being     66
Aristotle     70
Being: Excess, State of the Situation, One/Multiple, Whole/Parts, or [Element]/[subset]?
The Point of Excess     81
Belonging and inclusion     81
The theorem of the point of excess     84
The void and the excess     86
One, count-as-one, unicity, and forming-into-one     89
The State, or Metastructure, and the Typology of Being (normality, singularity, excrescence)     93
The State of the Historico-social Situation     104
Spinoza     112
Being: Nature and Infinity. Heidegger/Galileo
Nature: Poem ormatheme?     123
The Ontological Schema of Natural Multiples and the Non-existence of Nature     130
The concept of normality: transitive sets     130
Natural multiples: ordinals     132
The play of presentation in natural multiples or ordinals     134
Ultimate natural element (unique atom)     138
An ordinal is the number of that of which it is the name     139
Nature does not exist     140
Infinity: the other, the rule and the Other     142
The Ontological Decision: 'There is some infinity in natural multiples'     150
Point of being and operator of passage     151
Succession and limit     154
The second existential seal     156
Infinity finally defined     156
The finite, in second place     159
Hegel     161
The Matheme of infinity revisited     161
How can an infinity be bad?     164
The return and the nomination     165
The arcana of quantity     167
Disjunction     169
The Event: History and Ultra-one
Evental Sites and Historical Situations     173
The Matheme of the Event     178
Being's Prohibition of the Event     184
The ontological schema of historicity and instability     184
The axiom of foundation     185
The axiom of foundation is a metaontological thesis of ontology     187
Nature and history     187
The event belongs to that-which-is-not-being-qua-being     189
Mallarme     191
The Event: Intervention and Fidelity. Pascal/Choice; Holderlin/Deduction
The Intervention: Illegal choice of a name for the event, logic of the two, temporal foundation     201
Pascal     212
The Form-multiple of Intervention: is there a being of choice?     223
Fidelity, Connection     232
Deduction as Operator of Ontological Fidelity     240
The formal concept of deduction     242
Reasoning via hypothesis     244
Reasoning via the absurd     247
Triple determination of deductive fidelity     252
Holderlin     255
Quantity and Knowledge. The Discernible (or Constructible): Leibniz/Godel
The Concept of Quantity and the Impasse of Ontology     265
The quantitative comparison of infinite sets     267
Natural quantitative correlate of a multiple: cardinality and cardinals     269
The problem of infinite cardinals     272
The state of a situation is quantitatively larger than the situation itself     273
First examination of Cantor's theorem: the measuring scale of infinite multiples, or the sequence of alephs     275
Second examination of Cantor's theorem: what measure for excess?     277
Complete errancy of the state of a situation: Easton's theorem     279
Ontological Destiny of Orientation in Thought     281
Constructivist Thought and the Knowledge of Being     286
The Folding of Being and the Sovereignty of Language     295
Construction of the concept of constructible set     296
The hypothesis of constructibility     299
Absoluteness     302
The absolute non-being of the event     304
The legalization of intervention     305
The normalization of excess     307
Scholarly ascesis and its limitation     309
Leibniz     315
The Generic: Indiscernible and Truth. The Event   P. J. Cohen
The Thought of the Generic and Being in Truth     327
Knowledge revisited     328
Enquiries     329
Truth and veridicity     331
The generic procedure     335
The generic is the being-multiple of a truth     338
Do truths exist?     339
Rousseau      344
The Matheme of the Indiscernible: P. J. Cohen's strategy     355
Fundamental quasi-complete situation     358
The conditions: material and sense     362
Correct subset (or part) of the set of conditions     365
Indiscernible or generic subset     367
The Existence of the Indiscernible: the power of names     372
In danger of inexistence     372
Ontological coup de theatre: the indiscernible exists     373
The nomination of the indiscernible     376
[female]-referent of a name and extension by the indiscernible     378
The fundamental situation is a part of any generic extension, and the indiscernible [female] is an element of any generic extension     381
Exploration of the generic extension     384
Intrinsic or in-situation indiscernibility     386
Forcing: Truth and the Subject. Beyond Lacan
Theory of the Subject     391
Subjectivization: intervention and operator of faithful connection     392
Chance, from which any truth is woven, is the matter of the subject     394
Subject and truth: indiscernibility and nomination     396
Veracity and truth from the standpoint of the faithful procedure: forcing     400
Subjective production: decision of an undecidable, disqualification, principle of inexistents     406
Forcing: from the indiscernible to the undecidable     410
The technique of forcing     412
A generic extension of a quasi-complete situation is also itself quasi-complete     416
Status of veridical statements within a generic extension S([female]): the undecidable     417
Errancy of excess (1)     420
Absenting and maintenance of intrinsic quantity     423
Errancy of excess (2)     425
From the indiscernible to the undecidable     426
Descartes/Lacan     431
Appendixes
Principle of minimality for ordinals     441
A relation, or a function, is solely a pure multiple     443
Heterogeneity of the cardinals: regularity and singularity     448
Every ordinal is constructible     453
On absoluteness     456
Primitive signs of logic and recurrence on the length of formulas     459
Forcing of equality for names of the nominal rank 0     462
Every generic extension of a quasi-complete situation is itself quasi-complete     467
Completion of the demonstration of | p([omega subscript 0]) | [greater than or equal] [delta] within a generic extension     471
Absenting of a cardinal [delta] of S in a generic extension     473
Necessary condition for a cardinal to be absented in a generic extension     475
Cardinality of the antichains of conditions     477
Notes     481
Dictionary     498

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