“2. We are equally the contemporaries of a second epoch of the doctrine of the Subject. It is no longer the founding subject, centered and reflexive, whose theme runs from Descartes to Hegel and which remains legible in Marx and Freud (in fact, in Husserl and Sartre). The contemporary Subject is void, cleaved, a s-substantial, and ir-reflexive. More over, one can only suppose its existence in the context of particular processes whose conditions are rigorous.”

—  Alain Badiou

Introduction
Being and Event (1988)

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Alain Badiou 29
French writer and philosopher 1937

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“The unfortunate condition of the persons, whose labour in part I employed, has been the only unavoidable subject of regret.”

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Comment of late 1788 or early 1789 upon his slaves http://www.mountvernon.org/george-washington/slavery/the-only-unavoidable-subject-of-regret/, as recorded by David Humphreys, in his notebooks on his conversations with Washington, now in the Rosenbach Library in Philadelphia<!-- as quoted in "Housing and Family Life of the Mount Vernon Negro," unpublished paper by Charles C. Wall, prepared for the Mount Vernon Ladies' Association (May 1962), prefatory note]. -->
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Context: The unfortunate condition of the persons, whose labour in part I employed, has been the only unavoidable subject of regret. To make the Adults among them as easy & as comfortable in their circumstances as their actual state of ignorance & improvidence would admit; & to lay a foundation to prepare the rising generation for a destiny different from that in which they were born; afforded some satisfaction to my mind, & could not I hoped be displeasing to the justice of the Creator.

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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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