“If the establishment of the thesis 'mathematics is ontology' is the basis of this book, it is in no way its goal.”

—  Alain Badiou

Introduction
Being and Event (1988)

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Alain Badiou 29
French writer and philosopher 1937

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“The initial thesis of my enterprise - on the basis of which this entanglement of periodizations is organized by extracting the sense of each - is this following: the science of being qua being has existed since the Greeks - such is the sense and status of mathematics. However, it is only today that we have the means to know this. It follows from this thesis that philosophy is not centered on on ontology - which exists as a separate and exact discipline- rather it circulates between this ontology (this, mathematics), the modern theories of he subject and its own history. The contemporary complex of the conditions of philosophy includes everything referred to in my first three statements: the history of 'Western'thought, post-Cantorian mathematics, psychoanalysis, contemporary art and politics. Philosophy does not coincide with any of these conditions; nor does it map out the totality to which they belong. What philosophy must do is purpose a conceptual framework in which the contemporary compossibilty of these conditions can be grasped. Philosophy can only do this - and this is what frees it from any foundational ambition, in which it would lose itself- by designating amongst its own conditions, as a singular discursive situation, ontology itself in the form of pure mathematics. This is precisely what delivers philosophy and ordains it to the care of truths.”

Alain Badiou (1937) French writer and philosopher

Introduction
Being and Event (1988)

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“Guerrilla ontology
The basic technique of all my books.”

The Illuminati Papers (1980), p. 2
Context: Guerrilla ontology
The basic technique of all my books. Ontology is the study of being; the guerrilla approach is to so mix the elements of each book that the reader must decide on each page 'How much of this is real and how much is a put-on?

Albert Einstein photo

“Pure mathematics is in its way the poetry of logical ideas.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

1930s, Obituary for Emmy Noether (1935)
Context: Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.

Richard Courant photo

“It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas that must bind divergent interests together.”

Richard Courant (1888–1972) German American mathematician (1888-1972)

Richard Courant, "Mathematics in the Modern World", Scientific American, Vol 211, (Sep 1964), p. 42

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Eduard Jan Dijksterhuis photo

“[The mathematical character of Descartes' physics lies in its methodological nature, namely, the] axiomatic structure of the whole system, in the establishment of indubitable foundations and the deduction of the phenomena.”

Eduard Jan Dijksterhuis (1892–1965) Dutch historian

Source: The mechanization of the world picture, 1961, p. 414; as cited in: ‎Marleen Rozemond (2009), Descartes's Dualism. p. 235

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