Alain Badiou (born 1937) is one of the most influential French philosophers of our time. Few thinkers match his encyclopedic ambition – the ambition of someone who understands himself as implicated in, and responsible to, the diverse dynamics that compose humanity. He is especially relevant today given the renewed attention his work has received through Quentin Meillassoux and debates around speculative realism. What follows sketches several key elements that help explain why Badiou remains worth reading now.
1. Mathematics as Ontology
The word ontology – debased in much contemporary usage – demands a rigor capable of restoring the metaphysical dignity it once possessed. Badiou seeks that rigor through mathematics, granting decisive importance to the study of being as such without surrendering the scientific discipline of the inquiry. It is not, as in Pythagoras, that the world is numerical; rather, the very fabric of being is configured logically and mathematically – not through number, but through set.
The world resists language. The linguistic turn often transformed philosophy into an agoratic game of inventing concepts, reducing thought to a mere play of signs. For all that ingenuity, a real world persists beyond Cassirer’s philosophy of symbolic forms and Heidegger’s ascetic drama of being. Only set theory, Badiou claims, allows us to think pure multiplicity without falling back into a consoling metaphysics of the One. The Parmenidean One (whether God or Nature), from which everything supposedly flows like a cascade of intelligibility, comes to stand opposed to the dark void of the empty set.
If there is an infinite proliferation of sets, then, in a certain sense, they share something fundamental: their relation to the void. Whatever the case, both the fungi of Michigan and those beheaded during the Jacobin Reign of Terror, considered as multiplicities, bear within themselves the mark of the empty set. In the cosmic multiplicity of things, the only constant is the void. From this, Badiou draws an ontology of multiple real entities set against the philosophical insistence on grounding being in a privileged One – an insistence that, for him, ends in emptiness.
For this reason, a mathematical ontology promises rigor: the configuration of multiplicities is governed by logic itself, by its internal axioms, not by any subjective decree or theological diktat.
2. Far from Being Discovered, Truth Is a Process Under Construction
Badiou makes a distinctive use of Georg Cantor’s set-theoretical results. Meillassoux offers a concise way to approach the point: given an infinite multiplicity, the groupings that can be formed from its elements yield further multiplicities – also infinite, but in a sense “more infinite” than the initial one. Cantor’s counterintuitive discovery is that not all infinities are equal. In the present context, this suggests that an ontology grounded in set theory cannot be monolithic: it implies a pluralism of being. There are multiple beings; “being” as a singular substance becomes the residual, contentless remainder – the empty set – that haunts every presentation.
Yet each reality, each configuration of a world, obeys its own internal constraints: it articulates its own axiomatic logic, given (and this is crucial) by its structure, not by the decision of an external agent. Reality, therefore, is not simply discovered; it is constituted through processes that implicate subjects. This is why, in Being and Event, Badiou distinguishes between the situation and the event.
Given the ontic multiple, a historical and social situation configures an order of things: a set of established knowledge sedimented into everyday life. The situation “counts” what is presented; it also “includes” the possible regroupings of what is presented – a richer and more complex field than the one the situation explicitly recognizes when it establishes its order.
An event occurs when an unforeseeable rupture interrupts the situation. Chance inserts itself into the world of order: something happens that cannot be derived from what the situation already knows how to count. The event breaks the status quo and carries the potential to reconfigure the field of meaning. Newton, Einstein, and Robespierre are events insofar as they embody radical reconfigurations.
But an event is fleeting. For it to produce lasting change, there must be subjects who declare fidelity to it. One becomes a subject only by becoming an agent of the event, of its consequences. Subjectivity is not a Cartesian entitlement; it is the committed labor of sustaining rupture, of cultivating revolution and difference.
Truth begins with the event, but it is built through fidelity – through adherence, discipline, and the patient unfolding of consequences. The alternative is automatic, a-subjective existence within the situation. To think truthfully is a privilege purchased through commitment, and often through sacrifice.
3. To Love Is Also an Event
Love, for Badiou, is not merely a private emotion; it is a truth procedure. Like other truths, it begins as an event – sudden, contingent, impossible to deduce from the prior situation. Nothing in normalcy explains the emergence of love. No calculation, no app, no prior metric can produce it as a conclusion. Love is a radical cut into the ordinary: a spark that requires the tinder of consistency, of fidelity to what happened.
With the emergence of love, the ontological universes of “I” and “you” are forced into a “we.” The “we” is a combinatorial operation on two singularities. Yet the new set does not abolish the previous ones; rather, fidelity entails the difficulty of holding together independence and dependence, the dialectical tension that structures the conjunction of “I” and “you.”
Love inaugurates the world of the Two: a world built on difference and on the existential labor of inhabiting that difference. Love does not eliminate alterity; it forces one to live within it, to remain faithful to the duality that the encounter brings into being.
Love reconfigures one’s vision of the world. When the situation changes, two worlds – two attempts at subjectivity – come into a demanding conjunction. This is why love can shatter commonplaces and open a prism of new representation. Precisely because it is constructed together, love is perhaps the most accessible form of fidelity to an event available to ordinary people.
4. The Subject Is Not a Starting Point, but an Exercise of Fidelity
The subject exists only insofar as it remains faithful to an event. The subject is never given; it is cultivated. It does not found the world so much as become the possibility of founding. Hence reality is composed, on the one hand, of exceptional subjects faithful to rupture and, on the other, of the “human animal”: automatons of survival and enjoyment.
There is no abstract universal subject, only subjects immersed in particular fidelities – artistic, political, amorous, scientific. In the exercise of truth, the subject is free, or at least submits to a determinism more complex than that of the situation. One attains a kind of immortality by participating in the inheritance of universal revolutionaries – the agents of change. Only rupture – the irruption of evental difference – grants endurance in memory. In fidelity, the human being abandons mortal clay to join devotion to transformation and to the eruption of difference within everyday life.
