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Most significantly this use means that as with set theory there is a strict prohibition on self-belonging; a set cannot contain or belong to itself.
Badiou argues for resurrecting the practice of communism. This article’s further reading may not follow Wikipedia’s content policies or guidelines.
Continuum,  Briefings on Existence: It may help to understand the concept ‘count-as-one’ if it is associated with the concept of ‘terming’: En direct, France 3 French.
Badiou has a very rigorous notion of truth, one that is strongly against the grain of much of contemporary European thought.
Archived from the original on 28 March Retrieved 18 June A Dialogue in 16 Chapterstransl. The structure of being thus secures the regime of the count-as-one.
Alain Badiou – Wikipedia
It is therefore, he continues, possible to think beyond the strictures of the relativistic constructible universe of language, by a process Cohen calls forcing. Verso, Rhapsody for the Theatretransl. According to Badiou, truth procedures proceed to infinity, such that faith fidelity outstrips knowledge.
One does not necessarily need to refer to constructible language to alaiin of a ‘set of dominations’, which he refers to as the indiscernible set, or the generic set. An Introduction to the Materialist Epistemology of Mathematicstransl.
This results from the axiom of foundation — or the axiom of regularity — which enacts such a prohibition cf. Nirenberg and David Nirenberg,  which takes issue in particular with Badiou’s matheme bqdiou the Event in Being and Eventwhich has already been alluded to in respect of the ‘axiom of foundation’ above.
An example of aalin critique from a mathematician’s point of view is the essay ‘Badiou’s Number: Polity, The Age of the Poets: Badiou’s philosophy draws two major implications from this prohibition. Several critics have questioned Badiou’s use of mathematics.
The Global Center for Advanced Studies. He wrote his first novel, Almagestesin Notre mal vient de plus loin Cohenusing what are called the conditions of sets. When philosophy does suture itself to one of its conditions and Badiou argues that the history of philosophy during the nineteenth and twentieth centuries is primarily a history of sutureswhat results is a philosophical “disaster. Philosophy and the Idea of Communism.
Verso, The Adventure of French Philosophytransl. Nirenberg and Nirenberg write:. Times of Riots and Uprisingstransl. Archived from the original on 25 May Badiou makes repeated use of several concepts throughout his philosophy.
The PSU was particularly active in the struggle for the decolonization of Algeria. Only set theory allows one to conceive a ‘pure doctrine of the multiple’. While Badiou is keen to reject an equivalence between politics and philosophy, he correlates nonetheless his political activism and skepticism toward the parliamentary-democratic process with his philosophy, based around singular, situated truths, and potential revolutions.