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Brassier - Badiou's Materialist Epistemology of Mathematics
"Badiou's Materialist Epistemology of Mathematics" belongs to Brassier's realism line, where abstraction, truth, and rational critique are used to pressure-test the archive's more charismatic inheritances.
Archive condition
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Core idea
These pages matter because they show one major route by which the archive is forced into clearer argumentative language. Brassier's realism turns the afterlife of Land and the CCRU into a problem of truth, abstraction, and rational critique rather than scene myth or stylistic intensity alone.
The mechanism is pressure through philosophy. Sellars, Laruelle, Badiou, nihilism, and realism all become ways of testing whether concepts survive once they are detached from their original scene charisma and forced into stricter conceptual articulation.
That matters because this section is about philosophical afterlives, not only loyalty or rejection. Brassier keeps the archive alive precisely by refusing to leave its concepts in their original rhetorical atmosphere.
How to read this text
Read for how realism, truth, or abstraction are being defined before following the page into its local debate or target.
Track where the page tests Land or post-CCRU concepts against a stricter account of philosophy. That pressure is usually the real hinge of the text.
Representative extracts
Definition · paragraph 14
Introduction a` une e´piste´mologie mate´rialiste des mathe´matiques [The Concept of Model: Introduction to a Materialist Epistemology of Mathematics] (Paris: Maspero,1969) 42. It is important to bear in mind that, in the contextinwhich Badiouis writinghere (i.e., the context defined by the work of Althusser, Bachelard, and Canguilhem),‘‘epistemology’’refers to the ‘‘theory of science,’’ and not the ‘‘theory of knowledge’’ as commonly understood in Anglo- American academic philosophy.
Definition · paragraph 2
The first is from the aforementioned 1966 article: ‘‘[U]ltimately, in physics, fundamental biology, etc., mathematics is not subordinated and expres- sive, but primary and productive.’’6 We shall try to explain what this primacy of mathematical ‘‘productivity’’ entails for Badiou by examining his early attempt to develop a ‘‘materialist epistemology’’ of mathematics in his first book, The Concept of Model (1969).
Definition · paragraph 7
Here again, Badiou insists, the task of materialist epistemology consists in exposing the representational idealization of science as imitative artifice by providing an account of the autonomy of scientific practice vis-a`-vis its ideological repre- sentation while acknowledging its constitutive yet non-empirical historicity.
Definition · paragraph 4
his insistence on the latter’s essential plurality, by showing how for Badiou mathematics is not an a priori formal science grounding the empirical sciences’ access to reality but rather the paradigmatic instance of a productive experimen- tal praxis. This is the materialist dimension of Badiou’s Platonism. ii the formal and the empirical In The Concept of Model, Badiou is operating under the aegis of two fundamental distinctions: 1.
Definition · paragraph 14
notes 1 Le Concept de mode`le. Introduction a` une e´piste´mologie mate´rialiste des mathe´matiques [The Concept of Model: Introduction to a Materialist Epistemology of Mathematics] (Paris: Maspero,1969) 42.
Appears in sections
Brassier, Grant, and Speculative Realism Primary section
Analytic and speculative receptions of Land and the CCRU through Brassier, Grant, and adjacent philosophical lines.