Being and Event

L’Être et l’événement
by Alain Badiou
1980–1987French

Being and Event is Alain Badiou’s foundational systematic work that proposes mathematics—specifically Zermelo–Fraenkel set theory with the axiom of choice (ZFC)—as the ontology of being, while distinguishing ontology from the occurrence of events that generate truths in situations such as politics, art, science, and love. Badiou argues that being-qua-being is pure multiplicity without One, that situations are structured by a count-as-one, and that events are rare, undecidable ruptures not derivable from the situation’s knowledge. A subject arises only through fidelity to such an event, laboring to construct a truth procedure that reconfigures the situation. The book unfolds across 37 meditations, interspersed with critical engagements with thinkers including Plato, Aristotle, Descartes, Spinoza, Pascal, Hegel, Heidegger, and particularly Cohen and Gödel, systematically developing new conceptions of ontology, truth, subjectivity, and political action.

At a Glance

Quick Facts
Author
Alain Badiou
Composed
1980–1987
Language
French
Status
original survives
Key Arguments
  • Ontology is mathematics, specifically set theory: Badiou claims that only contemporary axiomatic set theory provides a rigorous discourse of being-qua-being as pure multiplicity, without recourse to phenomenology, language, or representation.
  • There is no One: being is inconsistent multiplicity: Badiou argues that the 'One' is not an ontological primitive but an operation (the count-as-one) that structures situations; at the level of being itself there is only inconsistent multiplicity, which set theory formalizes.
  • Events are undecidable with respect to a situation’s knowledge: an event cannot be derived from the axioms and knowledge of a situation; it is locally unnameable and undecidable (in the sense of Gödel and Cohen), yet it can be affirmed by a subject through an act of fidelity.
  • Truths are generic procedures produced by fidelity to events: a truth is not correspondence or adequation but the result of a procedure (in politics, science, art, or love) that constructs a 'generic' subset of the situation, exceeding and reconfiguring its established knowledge.
  • The subject is the operator of fidelity rather than a foundational substance: the subject is not a pre-given conscious ego but a local configuration emerging where a fidelity to an event is at work, structured by the decisions and consequences that extend the event into the situation.
Historical Significance

Being and Event is widely considered one of the most significant works of late 20th-century continental philosophy and the cornerstone of Badiou’s system. It revitalized ontology as a rigorous discipline by tying it to contemporary set theory, reintroduced strong notions of truth and universality against postmodern relativism, and proposed a novel theory of the subject grounded in evental rupture rather than consciousness or language. Its influence extends across political theory, aesthetics, theology, and comparative philosophy, spurring extensive secondary literature and debates on the relation between mathematics and philosophy, the status of revolutionary politics after 1968, and the possibility of universalist ethics. The book also inaugurated a sequence of works (Logics of Worlds, The Immanence of Truths) that together form Badiou’s comprehensive philosophical project.

Famous Passages
There is no One (being is essentially multiple)(Meditation 1–3 (early chapters on 'Multiple, Empty, and Excess' and 'The One is not'))
Ontology is mathematics, specifically set theory(Meditation 4–6 (discussion of set theory, ZF axioms, and the matheme of the multiple))
The event and the undecidable(Meditation 17–21 (development of the concept of event, undecidability, and the relation to Cohen’s forcing))
Truth as generic procedure(Meditation 24–28 (truth, generic sets, and the four truth procedures: politics, science, art, love))
Subject and fidelity(Meditation 29–33 (constitution of the subject as fidelity to an event and the typology of subject positions))
Key Terms
ontology: For Badiou, the philosophical discourse of being-qua-being, which he identifies strictly with axiomatic set theory rather than with phenomenology, language, or metaphysics of presence.
situation: A structured multiplicity in which beings are presented via the operation of the count-as-one, corresponding to a concrete world, social order, or field of appearance.
count-as-one (compte-pour-un): The structuring operation that unifies inconsistent multiplicities into a 'one' within a situation, producing consistent multiplicity without positing an ontological One.
void (empty set): The ontological name of pure inconsistency or 'nothing' in Badiou’s system, formalized as the empty set, which underlies every situation but is never directly presented.
state of the situation (état de la situation): The metastructural level that counts the parts of a situation (rather than its elements), corresponding to representation, governance, or statist ordering of what is presented.
event (événement): A rare, contingent rupture that supplements a situation at a point of its void, undecidable and unnameable by the situation’s existing [knowledge](/terms/knowledge/) yet capable of inaugurating a truth procedure.
fidelity: The subjective process of maintaining a sustained, coherent commitment to an event by drawing out its consequences and constructing a truth that transforms the situation.
truth procedure: A long-term, organized process in one of four generic domains—[politics](/works/politics/), science, art, love—wherein a subject, through fidelity to an event, constructs a truth that exceeds existing knowledge.
generic set: A set constructed via forcing in set theory that is indiscernible and undecidable from the standpoint of the original model, serving as Badiou’s formal paradigm of a truth.
forcing: Paul Cohen’s mathematical method for proving the independence of certain set-theoretical propositions, reinterpreted by Badiou as the formal schema of how an evental truth supplements a situation.
indiscernible: A subset (or truth) that cannot be defined or captured by any formula in the language of the situation’s knowledge, marking the excess of truth over established classifications.
subject: Not a pre-given ego but the local configuration of decisions and acts of fidelity that sustain an evental truth procedure within a situation.
evental site (site événementiel): A multiple on the edge of the void within a situation whose elements are not presented in the situation, making it a potential locus from which an event can emerge.
truth (vérité): A trans-situational, universal process of consequence extraction from an event, generic and indiscernible, which reconfigures the structure of a situation beyond its established knowledge.
Four truth procedures (art, science, politics, love): The four domains in which Badiou holds that genuine truths can be produced, each with its own type of event, subject, and fidelity, yet sharing a common formal structure.

1. Introduction

Being and Event (L’Être et l’événement, 1988) is Alain Badiou’s major systematic treatise, in which he advances two tightly linked claims: that ontology is mathematics—more precisely, axiomatic set theory—and that truth arises through rare events which disrupt established orders and call subjects into being through fidelity.

The work positions itself against several dominant tendencies in late 20th‑century philosophy. It rejects:

  • phenomenological and Heideggerian approaches that root being in experience or the disclosure of presence,
  • linguistic and structuralist turns that treat language, discourse, or signifying systems as primary,
  • historicist and relativist views that confine truth to particular cultures, epochs, or language games.

Instead, Badiou proposes that the pure thinking of being‑qua‑being is already given in contemporary set theory, whose axioms and operations handle multiplicity without any foundational One. Philosophy, in his view, must appropriate this matheme of being while also accounting for phenomena that exceed it: events, truths, and subjects.

The book unfolds as a sequence of “meditations” that weave together technical discussions of set theory, detailed readings of canonical philosophers, and schematic treatments of politics, art, science, and love. It aims not merely to comment on mathematics or politics but to construct a general conceptual framework in which:

  • situations are structured multiplicities,
  • events are undecidable supplements to situations,
  • truth procedures unfold as long‑term investigations of these events,
  • subjects are effects and operators of such investigations.

Interpreters differ on whether Being and Event should be read primarily as a metaphysical system, a political intervention, a theory of the subject, or a speculative reworking of mathematical logic. The text has thus become a central reference point for debates about the relation between mathematics and philosophy, the possibility of universal truths, and the fate of emancipatory politics after the 20th century’s revolutions and catastrophes.

2. Historical and Intellectual Context

2.1 Post‑1968 French Philosophy

Being and Event was composed between roughly 1980 and 1987, in the aftermath of the political upheavals of May 1968 and the later decline of revolutionary Marxist movements in Europe. Many commentators emphasize that it responds to a mood of political disillusionment and to a philosophical environment dominated by structuralism, post‑structuralism, and post‑Heideggerian thought.

In France, key reference points include:

Current / FigureCharacteristic Emphasis
Structuralism (Lévi‑Strauss, Althusser)Primacy of structures, language, scientificity
Post‑structuralism (Foucault, Derrida, Deleuze)Power/knowledge, différance, desire, critique of presence
Heideggerianism (via Derrida, Lyotard, others)Being as disclosure, history of metaphysics, end of grand systems
“New philosophers” (Glucksmann, Lévy)Anti‑Marxism, critique of totalitarianism

Badiou situates his book against this backdrop, resisting the abandonment of strong notions of truth, system, and universality while also distancing himself from orthodox Marxism and phenomenology.

2.2 Set Theory, Logic, and the “Cantorian Revolution”

Another crucial context is the development of modern set theory and mathematical logic. Badiou draws heavily on:

  • Georg Cantor’s work on actual infinity and transfinite cardinals,
  • the axiomatization of set theory (Zermelo, Fraenkel, Skolem),
  • Kurt Gödel’s incompleteness and independence results,
  • Paul Cohen’s method of forcing and the independence of the continuum hypothesis.

Mathematicians and historians of logic sometimes interpret Badiou’s project as an attempt to philosophically appropriate what he terms the “Cantorian revolution”: the rigorous treatment of infinite multiplicities without grounding them in intuition or phenomenological givenness.

2.3 Broader Intellectual Climate

The book appears in an era marked by:

  • the “linguistic turn” in analytic philosophy and debates over formalism versus ordinary language,
  • the crisis of grand narratives diagnosed by Lyotard,
  • a renewed interest in Plato and formalism within certain French circles.

Some readers place Badiou alongside contemporaries such as Lacan, Deleuze, and Foucault, yet emphasize his singular insistence on mathematics as philosophy’s privileged partner. Others see Being and Event as part of a wider “return to ontology” in continental thought that also includes figures like Deleuze and Nancy, albeit with sharply different methods and commitments.

3. Author and Composition

3.1 Alain Badiou’s Intellectual Trajectory

Alain Badiou (b. 1937) came to Being and Event after decades of work in philosophy, politics, and mathematics. Trained in the French normalien system, he studied with figures such as Louis Althusser and was active in Maoist organizations in the late 1960s and 1970s. Earlier works, including Théorie du sujet (1982), already developed themes of subjectivity and militancy, but without the fully elaborated set‑theoretical ontology.

Commentators often note three key influences on Badiou’s formation:

DomainRepresentative Influences
PoliticsMarxism, Maoism, French leftist organizations
PsychoanalysisJacques Lacan and the École freudienne de Paris
MathematicsSet theory and logic (Cantor, Gödel, Cohen)

Being and Event is widely regarded as the point at which these strands are systematically integrated.

3.2 Period of Composition

Badiou reports that he worked on the meditations of Being and Event primarily between 1980 and 1987. This period coincides with:

  • the waning of militant left organizations after the 1970s,
  • his increasing engagement with mathematical logic,
  • his participation in teaching and debates at the École normale supérieure and later at the Université Paris 8 (Vincennes–Saint‑Denis).

Some scholars suggest that the text bears traces of earlier seminars and lectures, as well as of ongoing political and philosophical controversies in Parisian intellectual life.

3.3 Publication and Early Editions

The French first edition appeared in 1988 with Éditions du Seuil in the “L’ordre philosophique” series, co‑edited by Badiou and François Wahl. The book’s complex typographical layout—with symbolic notation and a numbered sequence of “meditations”—reflects its hybrid character as both philosophical treatise and quasi‑mathematical manual.

The standard French edition has remained relatively stable, though later printings sometimes include minor corrections or paratextual additions (such as prefaces and notes) that situate the work within Badiou’s evolving system. The first full English translation by Oliver Feltham (Continuum, 2005) substantially expanded the book’s international readership and has shaped much Anglophone interpretation, occasionally raising questions about how to render Badiou’s technical vocabulary (e.g., compte‑pour‑un, état de la situation).

4. Structure and Organization of the Work

4.1 Meditations and Overall Architecture

Being and Event is organized into 37 numbered meditations, grouped informally around several core problem‑fields rather than subdivided into conventional “parts” in the original. Later commentators often reconstruct the book’s architecture into broad thematic blocks, reflected in this entry’s outline.

The progression can be schematically represented as follows:

Thematic BlockApprox. MeditationsFocus
Mathematics and ontology1–6Identification of ontology with set theory
Multiple, void, count‑as‑one1–9Pure multiplicity, the One as operation
Situations and state of the situation10–16Presentation, representation, excess
Event and undecidability17–21Event, site, Cohen’s forcing
Truth and the generic22–28Generic sets, indiscernibility
Subject and fidelity29–33Subject positions, decision, forcing
Philosophical engagements and summary motifs34–37Readings of Plato, Descartes, Heidegger; closing theses

4.2 Alternation of Technical and Historical Chapters

A distinctive structural feature is the alternation between:

  • “Conceptual” meditations, developing Badiou’s own formal and ontological machinery (often with set‑theoretical notation), and
  • “Historical-philosophical” meditations, devoted to systematic readings of figures such as Plato, Aristotle, Descartes, Spinoza, Pascal, Hegel, and Heidegger.

This alternation serves, according to Badiou and many interpreters, to demonstrate how the proposed ontology re‑reads the history of philosophy, while also giving historical depth to notions like the multiple, the event, and truth.

4.3 The Role of Examples and “Conditions”

Although the book is not structured as a case‑study collection, it periodically invokes exemplary situations from four domains that Badiou calls conditions of philosophy:

ConditionTypical examples invoked in the book
PoliticsRevolution, class struggle, militants
ScienceSet theory, Galileo, modern physics
ArtPoetry (Mallarmé), novel, theatre
LoveThe Two, encounter, amorous fidelity

These examples are schematic rather than richly empirical; many detailed analyses of individual artworks, scientific episodes, or political sequences are deferred to other works (e.g., Conditions, Logics of Worlds). Within Being and Event, they function structurally to illustrate the formal claims about situations, events, truths, and subjects developed across the meditations.

5. Mathematics as Ontology

5.1 The Thesis “Ontology = Set Theory”

At the core of Being and Event is the identification of ontology—the discourse of being‑qua‑being—with axiomatic set theory, specifically Zermelo–Fraenkel set theory with the axiom of choice (ZFC). Badiou argues that:

“Mathematics is ontology.”

— Alain Badiou, L’Être et l’événement (Meditation 4)

He maintains that only modern set theory provides a rigorous language capable of treating pure multiplicity without presupposing any underlying substance, intuition, or phenomenological givenness. Where traditional metaphysics often grounded being in a One (substance, God, presence), set theory begins with the empty set and constructs multiplicities purely through formal operations.

5.2 Reasons Given for the Identification

Proponents of Badiou’s reading highlight several reasons he offers:

  • Immanence and formality: Set theory speaks only of membership and inclusion, avoiding appeals to extra‑mathematical intuition; this matches his demand for a strictly immanent discourse of being.
  • Multiplicities without One: The axioms treat sets as multiplicities of multiplicities, with no need for an ontological One grounding them.
  • Universality: Because all mathematical objects can be modeled as sets, set theory purports to be maximally general.

Some commentators add that Badiou’s identification is also strategic: by tying ontology to an actually existing, sophisticated formal science, he aims to give ontology a non‑arbitrary, clearly articulated structure.

5.3 Alternative Interpretations and Critiques

Not all readers accept this strong identification. Alternative views include:

InterpretationMain Claim
Metaphorical readingSet theory serves as a heuristic or metaphor for an ontology of multiplicity, not as ontology itself.
Pluralist mathematical ontologyOther branches of mathematics (category theory, topology) might equally or better model being.
Anti‑mathematical ontologyBeing cannot be reduced to mathematical structures; mathematics is at best one “regional” discourse.

Critics with mathematical backgrounds often argue that set theory is a formal theory of collections, not a theory of being. Philosophers influenced by phenomenology or hermeneutics contend that being is fundamentally tied to experience or interpretation rather than to formal structure. Badiou’s defenders respond that he explicitly distinguishes ontology from phenomenology and that his project is to clarify the pure being of multiplicities, not their appearance or meaning, which he addresses elsewhere through the notion of “worlds.”

6. The Multiple, the Void, and the Count-as-One

6.1 Being as Pure Multiple

Early meditations in Being and Event elaborate the claim that being is essentially multiple. Badiou rejects the idea of an original One—God, substance, form—from which multiplicity would derive. Instead:

  • What is, is always already a multiple.
  • Any “one” we encounter is the result of an operation that structures multiplicities into consistent unities.

Set theory models this by treating every entity as a set of sets, without assuming any primitive individual “atom” beneath them.

6.2 The Void (Empty Set)

To name pure inconsistency—the absence of any structured multiplicity—Badiou introduces the void, formally identified with the empty set ∅. In his reading:

  • Every situation (structured multiplicity) “rests on” the void as its ontological ground.
  • The void itself is never directly presented; it is only indicated by the existence of the empty set within the set‑theoretical universe.

Proponents see in this move a strict formalization of “nothingness” without recourse to phenomenological or theological language. Some interpreters, however, argue that the identification of the metaphysical void with the empty set is conceptually loaded and not mandated by mathematics itself.

6.3 The Count-as-One

The operation that makes a multiple appear as a unity is called the count‑as‑one (compte‑pour‑un). Badiou describes it as:

  • a structuring operation that organizes inconsistent multiplicity into consistent multiplicity,
  • not itself a being among beings but the structural law of a given situation.

In set‑theoretical terms, the count‑as‑one corresponds to the formation of sets: collecting multiple elements and “counting” them as a single set. This yields the distinction:

LevelDescription
Being‑qua‑beingInconsistent multiplicity, grounded in the void
SituationA multiple structured by a count‑as‑one into consistent multiplicity

Some commentators treat the count‑as‑one as Badiou’s reinterpretation of classical notions such as form, structure, or worldly organization. Others note tensions between his insistence that there is “no One” and the necessity of this unifying operation. Badiou’s own solution is to say that the One “is not,” but “there is” the count‑as‑one as an operation—an important nuance for his overall ontology.

7. Situations, State, and Representation

7.1 Situations as Structured Multiplicities

Building on the multiple and the count‑as‑one, Being and Event introduces situations as the basic units of ontological analysis. A situation is:

  • a structured multiplicity in which beings are presented,
  • the result of a specific count‑as‑one that organizes elements into a consistent set.

Examples sketched by Badiou include social orders, scientific disciplines, artistic configurations, and everyday contexts; however, in this book he treats them schematically rather than empirically.

7.2 Presentation vs. Representation

Badiou distinguishes between:

  • Presentation: the way elements are included in a situation as counted ones (belonging, ∈),
  • Representation: the way parts of the situation are counted by a higher‑order structure he calls the state of the situation (état de la situation).

This yields a two‑level structure:

LevelSet‑theoretical CorrelateFunction
Situation (presentation)Set of elementsWhat is directly presented
State (representation)Power set of the situation (P(S))How parts are represented, governed, regulated

The state thus functions as a metastructure that represents subsets (parts) of the situation, analogous—according to many political readings—to institutions, laws, or statist apparatuses.

7.3 Excess and the State

Because the state operates on the power set of the situation, it introduces an excess over mere presentation: there are more represented parts than directly presented elements. This excess is central to Badiou’s later account of evental sites and events, which emerge at points of tension between what is presented and how it is represented.

Interpretations vary:

  • Political theorists sympathetic to Badiou often map the state of the situation onto modern states, bureaucracies, or administrative regimes, reading his concept as a formal theory of how power represents and manages social multiplicities.
  • Others argue that the analogy should not be pressed too far, insisting that the état de la situation is a general structural notion whose political applications are contingent and require further mediation.
  • Some critics from within set theory question the exactness of the identification of the state with the power set, suggesting that Badiou sometimes slides between technical and metaphorical uses.

Within Being and Event, however, the main function of these notions is to prepare the ground for understanding how events can arise at the edges of presentation and representation.

8. The Event and Undecidability

8.1 Definition of the Event

In Being and Event, an event is defined as a rare, contingent rupture within a situation that:

  • is not derivable from the situation’s existing structure and knowledge,
  • occurs at an evental site, a multiple on the edge of the void whose elements are not themselves presented in the situation,
  • has the capacity to inaugurate a truth procedure through the decisions of a subject.

The event is not simply any change or occurrence; it is specifically a structural break with the encoded possibilities of the situation.

8.2 Gödel, Cohen, and Undecidability

Badiou’s formal model of the event draws on results in mathematical logic, especially:

  • Gödel’s incompleteness theorems, which show that in sufficiently rich formal systems there are propositions that can neither be proved nor disproved within the system.
  • Cohen’s forcing method, which constructs models of set theory in which certain propositions (notably the continuum hypothesis) are independent of the axioms: they are undecidable within the original theory.

Badiou interprets these results as showing that any consistent situation (understood as a model of ZFC) harbors propositions whose truth or falsity is not fixed by its axioms. He then philosophically reinterprets this undecidability as the structural space in which an event can be affirmed or denied.

8.3 Event and the Limits of Knowledge

From this perspective:

  • Knowledge (savoir) corresponds to what is demonstrable from the axioms of the situation—its established rules, classifications, and predictions.
  • An event is undecidable by this knowledge; it cannot be recognized as necessary or even possible by the situation’s rules.

Proponents of Badiou’s interpretation emphasize that this yields a rigorous, non‑relativist account of radical novelty: an event is not merely what appears new from a subjective perspective but what was structurally undecidable from within the prior regime.

Critics raise several concerns:

Critique TypeMain Point
Logical/formalThe move from formal undecidability to historical or political events is an analogy that may exceed logical warrant.
Phenomenological/historicistTreating events as undecidable supplements may neglect lived temporality, causality, or material conditions.
PoliticalEmphasis on rupture may underplay gradual reforms, institutions, and continuities.

Nevertheless, within Being and Event itself, the undecidable event is a central hinge connecting ontology (set theory) to the emergence of truths and subjects.

9. Truth, Forcing, and the Generic

9.1 Truth as Procedure, Not Correspondence

Being and Event reconceives truth as the outcome of a procedure initiated by an event, rather than as correspondence between statements and facts. A truth procedure:

  • begins from the affirmation that an event has occurred,
  • proceeds by incorporating elements of the situation as belonging to the truth of that event,
  • eventually constructs a generic subset of the situation.

Truth is thus processual and open‑ended. It is also universal in Badiou’s sense: it concerns the situation as a whole, not merely a particular group or perspective.

9.2 Forcing and Truth

Badiou models this procedure on Cohen’s forcing. In set theory, forcing:

  • begins with a ground model ( M ) of ZFC (a “situation”),
  • adds a generic set ( G ) not in ( M ),
  • yields an extended model ( M[G] ) in which formerly undecidable propositions acquire a definite truth value.

Badiou interprets the act of “forcing” as analogous to the subjective decisions that progressively extend the consequences of an event. Each decision forces a choice about whether a particular element “belongs to” the truth.

While the mathematical details are not reproduced in full, the key structural features Badiou retains are:

Feature in ForcingPhilosophical Correlate
Generic set ( G )Truth as a generic subset
Undecidable propositionEvental statement
Extension ( M[G] )Transformed situation under a truth

9.3 The Generic and Indiscernible

A generic set in set theory is constructed so that it is:

  • undecidable from the ground model’s axioms,
  • indiscernible: not definable by any formula in the language of the ground model.

Badiou takes this as the paradigm of a truth:

  • A truth is generic with respect to the situation: it touches every part of the situation but is not captured by existing predicates.
  • A truth is indiscernible by the language of the situation’s knowledge; it cannot be fully classified or recognized by existing concepts.

Interpreters sympathetic to Badiou underline that this allows him to claim both universality (truth concerns all) and non‑representability (truth exceeds existing schemas). Critics, especially mathematicians, often caution that the philosophical analogies may misrepresent technical notions of genericity and definability.

Nonetheless, within the internal logic of Being and Event, the triad of truth–forcing–generic provides the formal backbone for understanding how events reconfigure situations.

10. Subjectivity and Fidelity

10.1 The Subject as Effect of an Event

In Being and Event, the subject is not a pre‑given consciousness or substantial ego but a local configuration that emerges only where an event has been affirmed. Badiou writes of the subject as:

  • an operator of a truth procedure,
  • constituted by the sequence of decisions that organize fidelity to an event,
  • inseparable from the situation in which it acts.

Thus, there is no subject “in general”; there are only subjects of particular truths (political, scientific, artistic, amorous).

10.2 Fidelity

Fidelity is the key subjective operation. It involves:

  • maintaining the thesis that an event indeed occurred,
  • systematically examining elements of the situation to determine whether they are to be counted as belonging to the event’s truth,
  • constructing a trajectory (a “subject‑trajectory”) through successive decisions.

In Badiou’s formal idiom, fidelity generates a sequence that progressively defines a generic subset of the situation. This is where the earlier discussion of forcing is reinterpreted as a schema for subjective action.

10.3 Types of Subjective Orientation

Badiou distinguishes several subject‑positions relative to an event:

PositionCharacterization
FaithfulAffirms the event and pursues its consequences via fidelity.
ReactiveDenies the event’s transformative power, reasserting the prior order while nonetheless being marked by the event.
ObscureSeeks a mystical or authoritarian One, often attempting to suppress the event’s generic universality (sometimes associated with disaster or fanaticism).

Commentators differ on how strictly these positions can be mapped onto historical actors or psychological types. Some see them as formal “figures” that may overlap in practice; others employ them to interpret concrete political and cultural phenomena.

10.4 Debates on the Badiouian Subject

Supporters argue that Badiou offers a way to theorize collective and impersonal forms of agency that do not rely on traditional notions of self, yet still allow for responsibility and commitment. Critics, particularly from phenomenological, feminist, and psychoanalytic traditions, contend that:

  • the subject is overly abstract, neglecting embodiment, affect, and unconscious processes,
  • fidelity risks valorizing unwavering commitment without sufficient criteria for evaluating events.

These debates center in subsequent literature, but the basic conceptualization of subjectivity as fidelity to an evental truth is fully articulated in Being and Event.

11. The Four Truth Procedures: Art, Science, Politics, Love

11.1 Truth’s “Conditions”

Being and Event holds that philosophy does not produce truths; instead, it reflects on truths generated in four distinct domains, called conditions:

  • Art
  • Science
  • Politics
  • Love

Each domain has its own kind of event, its own material, and its own practices, but they share the same formal structure of event–truth–subject.

11.2 Comparative Overview

Although Being and Event develops these only schematically (with more detailed elaborations elsewhere), it sketches a comparative framework:

ConditionEvent (schematic)Truth ProcedureSubject Figure
ArtBreak in established artistic formsCreation of a new artistic configurationThe artistic subject (e.g., poet)
ScienceFoundational scientific ruptureConstruction of a new theoretical edificeThe scientific subject (research collective)
PoliticsEmancipatory political uprisingOrganization of egalitarian proceduresThe militant or collective subject
LoveEncounter between two individualsConstruction of a world from the TwoThe amorous subject (the “Two”)

11.3 Art, Science, Politics, Love in the Text

In Being and Event itself:

  • Art is exemplified especially through poetry (Mallarmé) and the idea of a break with established representational forms.
  • Science is primarily represented by mathematics, particularly set theory; Badiou also gestures toward physics and other sciences.
  • Politics is associated with sequences such as the French Revolution or revolutionary socialism, thematized as sites where egalitarian principles emerge as evental truths.
  • Love is treated as an event of Two‑ness, inaugurating a new way of seeing the world from the standpoint of a shared difference.

Interpreters diverge in assessing how balanced these four conditions are within the book. Many note that mathematics is privileged, functioning both as a condition (science) and as ontology. Others argue that politics implicitly anchors Badiou’s examples of rupture and fidelity, while art and love receive more fully developed treatments only in later works.

Within Being and Event, however, the principal role of these four procedures is to demonstrate that the formal scheme of event, truth, and subject can be instantiated in multiple heterogeneous domains without collapsing into a single metaphysical or political program.

12. Engagements with the History of Philosophy

12.1 Systematic Re‑readings

A substantial portion of Being and Event consists of meditations devoted to major philosophers, including:

FigureThematic Focus in Badiou’s Reading
PlatoIdea, truth, and the “matheme” versus the poem
AristotleBeing and the one, categories, potential vs. actual infinity
DescartesCogito, decision, and the point of subjectivation
SpinozaSubstance and multiplicity
PascalWager, decision, and the evental statement (“God is”)
HegelTotality, contradiction, and the dialectic
HeideggerBeing, ontological difference, and the end of metaphysics

Badiou does not offer historical surveys; instead, he extracts what he sees as conceptual invariants or decisions that anticipate his own concerns with multiplicity, truth, and the subject.

12.2 Plato and the Matheme

Plato occupies a privileged place. Badiou interprets Platonism as an early assertion of the primacy of truth and the Idea, and he aligns his own mathematical ontology with a renewed Platonism, emphasizing:

  • the role of mathematics as a paradigm of access to being,
  • the separation between truth and mere opinion (doxa).

Some scholars describe Badiou’s stance as a “post‑Cantorian Platonism,” while critics question whether his reading of Plato underplays dialogical, dramatic, or ethical dimensions of the dialogues.

12.3 Confrontation with Heidegger

Heidegger is another central interlocutor. Badiou acknowledges Heidegger’s influential critique of traditional metaphysics and his emphasis on the question of Being, but he challenges:

  • the privileging of language and poetry,
  • the historicization of truth (epochs of Being),
  • the critique of mathematics as merely calculative.

Where Heidegger declares that only a “new beginning” beyond metaphysics is possible, Badiou argues for a new ontology grounded in set theory. Commentators often treat this as one of the book’s most consequential philosophical confrontations.

12.4 Other Figures and Interpretive Debates

Engagements with Descartes, Spinoza, Pascal, and Hegel serve specific functions:

  • Descartes: model for the decision that inaugurates a subject (the cogito).
  • Spinoza: foil for discussing substance versus multiplicity.
  • Pascal: exemplar of an evental statement and the logic of the wager.
  • Hegel: target for a critique of totalizing dialectics in favor of multiple, non‑totalizable truths.

Interpretations diverge over how faithful these readings are to the historical texts. Some scholars view them as productive “systematic appropriations” rather than historically precise exegeses; others argue that certain positions (e.g., Hegel’s dialectic, Spinoza’s substance) are simplified to fit Badiou’s overarching project. Within Being and Event, however, these engagements primarily function to situate the new ontology and theory of the event within a reconfigured philosophical canon.

13. Ethical and Political Implications

13.1 Ethics of Truth vs. Ethics of the Other

Although Being and Event is not an ethics treatise, it outlines an ethics of truths. Ethics is defined in relation to fidelity:

  • To act ethically is to persevere in a fidelity to an evental truth,
  • To betray a truth is to lapse into mere particular interests, opinions, or statist norms.

This stance contrasts with various contemporary ethical paradigms:

ParadigmOrientation
Levinasian ethics of the OtherPriority of alterity and responsibility
Discourse ethics (Habermas)Norms justified through rational communication
Virtue or care ethicsCharacter, relations, and well‑being
Badiou’s ethics of truthsFidelity to universal, event‑generated processes

Badiou later develops this in Ethics: An Essay on the Understanding of Evil, but its conceptual foundations are laid in Being and Event.

13.2 Politics and Emancipation

Politically, the book suggests that genuine emancipatory politics arises from events (revolutions, uprisings, founding egalitarian decisions) that break with the representational logic of the state of the situation. A political truth:

  • introduces a principle of equality that is not derivable from existing power structures,
  • requires the sustained work of a militant subject,
  • aims at universality, not merely the interests of a particular group.

Interpreters often connect this with Badiou’s own Maoist past and his admiration for sequences like the Paris Commune, the Chinese Cultural Revolution (in a specific, idealized reading), or May 1968.

13.3 Critiques and Alternative Views

The ethical and political proposals have been both influential and controversial:

  • Supporters see in Badiou a defense of universal emancipation at a time of widespread skepticism about grand narratives.
  • Critics worry that an ethics centered on fidelity might:
    • underplay negotiation, compromise, and institutionalization,
    • legitimize intransigence or even violence in the name of an evental truth.

Postcolonial and feminist readers also question whether Badiou’s universalism adequately accounts for historical and embodied particularities. Others argue that his formal treatment of politics in Being and Event leaves open crucial questions about economic structures, legal frameworks, and everyday governance.

Within the book itself, however, the primary task is to articulate how an ontological theory of events and truths underpins the possibility of universalist ethics and politics, without yet providing a detailed normative program.

14. Key Criticisms and Debates

14.1 Use of Set Theory and Logic

A major line of criticism concerns Badiou’s appropriation of set theory and forcing:

  • Mathematicians and philosophers of logic often argue that the leap from formal undecidability to historical or political events is at best analogical, at worst misleading.
  • Some contend that Badiou’s technical presentations contain inaccuracies or elide important distinctions (e.g., between models, meta‑theory, and object‑theory).

Defenders counter that Badiou explicitly uses mathematics philosophically, not as a literal description of social reality, and that his project should be judged by its conceptual fecundity rather than strict fidelity to mathematical practice.

14.2 Formalism and Accessibility

Another frequent criticism targets the book’s formalism and difficulty. Commentators note that:

  • the mathematical apparatus makes the work inaccessible to many readers,
  • the alternating structure of technical and historical meditations can be disorienting.

Some sympathetic interpreters suggest that the formalism is necessary to sustain the ambitious claim that ontology is mathematics; others propose more metaphorical readings that downplay the technical detail.

14.3 Politics and Voluntarism

Political theorists often focus on Badiou’s emphasis on rupture and fidelity:

ConcernDescription
VoluntarismOveremphasis on decision and will at the expense of material constraints and institutions.
Ambiguous relation to democracySkepticism about parliamentary democracy and rights‑based politics may appear dismissive of existing struggles.
Event‑centrismNeglect of gradual reforms and everyday political work.

Badiou’s supporters reply that his focus is specifically on emancipatory sequences that cannot be reduced to institutional politics, and that his critique of “parliamentarism” targets a particular conception of politics as management.

14.4 Universality vs. Particularity

A further debate concerns universality:

  • Post‑structuralist and postcolonial critics question whether truths emerging from specific sites (e.g., European revolutions, Western mathematics) can be genuinely universal.
  • Feminist scholars raise issues about gender, embodiment, and care, largely absent from Being and Event’s formal framework.

Alternative readings propose to reinterpret Badiou’s universality as a procedure of inclusion rather than an abstract standpoint, though this remains contested.

14.5 The Subject and Experience

Phenomenological and psychoanalytic critics argue that Badiou’s subject:

  • is overly formal and decisionist,
  • neglects affect, temporality of lived experience, and unconscious dynamics.

Some Lacanian readers, however, find resonances between fidelity and psychoanalytic notions of transference or act, while still questioning the reduction of subjectivity to truth procedures.

These debates have generated a substantial secondary literature, in which Being and Event functions both as a target of critique and as a resource for rethinking ontology, politics, and subjectivity.

15. Legacy and Historical Significance

15.1 Influence in Continental Philosophy

Since its 1988 publication (and especially after the 2005 English translation), Being and Event has become a key reference in contemporary continental philosophy. It has:

  • contributed to a renewed interest in ontology after the linguistic and hermeneutic turns,
  • shaped discussions of truth, event, and subject in political theory, aesthetics, and theology,
  • inspired or influenced thinkers working on “speculative” or “post‑critical” metaphysics.

The book is often grouped with works by Deleuze, Derrida, and others as part of a late 20th‑century reconfiguration of metaphysical questions, though Badiou’s strong mathematical commitment distinguishes his project.

15.2 Place within Badiou’s System

Being and Event is widely regarded as the first volume of a larger system, followed by:

WorkFocus
Logics of Worlds (2006)Appearance, phenomenology, and worlds
The Immanence of Truths (2018 in French)Further exploration of infinity and truths

Together, these works extend and refine the ontology, addressing domains (such as phenomenality and worlds) that Being and Event largely brackets in favor of pure being and evental truth.

15.3 Cross‑disciplinary Reception

Beyond philosophy narrowly construed, the book has been taken up in:

  • Political theory and radical democratic studies, often in dialogue or tension with Marxist, anarchist, and post‑structuralist traditions.
  • Aesthetics and literary theory, especially in readings of modernist and avant‑garde art as sites of evental innovation.
  • Theology and religious studies, where Badiou’s concepts of event and resurrection have been compared with Pauline and post‑Pauline themes.

Reception varies by region:

Region / ContextReception Characteristics
Francophone worldEarly and intensive debates, both supportive and critical.
Anglophone academiaGradual uptake after 2000s; strong in political theory and critical theory circles.
Latin AmericaActive engagement, often tied to leftist political traditions.

15.4 Continuing Debates

Being and Event remains a focal point for ongoing discussions about:

  • the legitimacy and scope of mathematical ontology,
  • the viability of universalist politics after postmodern critiques,
  • the nature and role of events in history and subjectivity.

Some recent commentators seek to integrate Badiou’s insights with other frameworks (e.g., feminist theory, decolonial thought, ecological philosophy), while others critique his system as emblematic of a return to grand, abstract metaphysics.

Despite divergent evaluations, the work is broadly recognized as a landmark in late 20th‑century philosophy, central to understanding contemporary debates about being, truth, and political transformation.

Study Guide

advanced

*Being and Event* combines technical set theory with dense continental philosophy and systematic engagements with the history of philosophy. Understanding the work requires comfort with abstract argumentation, some logical background, and familiarity with debates about truth, ontology, and politics. It is best approached after intermediate study in both philosophy and basic logic/set theory.

Key Concepts to Master

Ontology as set theory

Badiou’s thesis that the discourse of being‑qua‑being is nothing other than contemporary axiomatic set theory (ZFC), which treats pure multiplicity without presupposing any foundational One or phenomenological givenness.

Situation and count‑as‑one

A situation is a structured multiplicity in which beings are presented; the count‑as‑one (*compte‑pour‑un*) is the operation that unifies inconsistent multiplicities into consistent ones, making them appear as ‘ones’ without positing an ontological One.

Void (empty set)

The ontological name for pure inconsistency or ‘nothing’ in Badiou’s system, formally modeled as the empty set. Every situation rests on the void, which is never directly presented but is included as its foundational non‑being.

State of the situation (état de la situation)

The metastructural level that counts the parts (subsets) of a situation rather than its elements, corresponding to representation, governance, or statist ordering. Set‑theoretically, it is modeled by the power set of the situation.

Event and evental site

An event is a rare, contingent rupture that supplements a situation at a point of its void, undecidable and unnameable by the situation’s knowledge. It arises from an evental site, a multiple on the edge of the void whose elements are not presented in the situation.

Truth, truth procedure, and generic set

Truth is a trans‑situational, universal process that arises from an event through a truth procedure—an organized, long‑term work in art, science, politics, or love. Formally, it is modeled on a generic set constructed by forcing: an indiscernible subset of the situation that is undecidable by its existing axioms.

Forcing and undecidability

Borrowed from Paul Cohen’s method, forcing shows that certain propositions are independent of a given axiomatic system. Badiou reinterprets this as the schema whereby a truth procedure supplements a situation with a generic set, deciding what was previously undecidable.

Subject and fidelity

The subject is not a pre‑existing ego but the operator of fidelity to an event—a local configuration of decisions that sustains a truth procedure within a situation. Fidelity is the ongoing commitment that affirms the event and draws out its consequences.

Discussion Questions
Q1

In what sense does Badiou’s thesis that ‘mathematics is ontology’ challenge both phenomenological and linguistic conceptions of being prevalent in 20th‑century French philosophy?

Q2

How does the distinction between presentation (situation) and representation (state of the situation) help Badiou theorize political power and its limits?

Q3

Why does Badiou insist that an event must be undecidable from the standpoint of the situation’s knowledge? Could there be genuine novelty that is still decidable?

Q4

Compare Badiou’s concept of truth as a generic, indiscernible procedure with more familiar notions of truth (correspondence, coherence, consensus). What philosophical problems is he trying to solve?

Q5

In what ways does Badiou’s subject—defined as fidelity to an event—differ from the Cartesian cogito or the phenomenological subject of experience?

Q6

How convincing is Badiou’s use of set‑theoretical notions like forcing and generic sets as models for political or artistic transformation? Where might the analogy break down?

Q7

Badiou identifies four conditions of philosophy: art, science, politics, and love. Do you find this list exhaustive or convincing? Could there be additional domains that generate truths in his sense?

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APA Style (7th Edition)

Philopedia. (2025). being-and-event. Philopedia. https://philopedia.com/works/being-and-event/

MLA Style (9th Edition)

"being-and-event." Philopedia, 2025, https://philopedia.com/works/being-and-event/.

Chicago Style (17th Edition)

Philopedia. "being-and-event." Philopedia. Accessed December 11, 2025. https://philopedia.com/works/being-and-event/.

BibTeX
@online{philopedia_being_and_event,
  title = {being-and-event},
  author = {Philopedia},
  year = {2025},
  url = {https://philopedia.com/works/being-and-event/},
  urldate = {December 11, 2025}
}