decision, Deleuze, mathematics, Nietzsche, nihilism, non-philosophy



Philosopher (Dali)


Is mathematics discovered or invented? But what if we have misplaced the scent from the start; in other words what if this clear distinction elides the process itself, if the particular and immanent relation between invention and discovery forms the basis of the ‘singularizing’ expression involved in a new mathematical proof? But a rigorous diagram of novelty itself, of the Event, seems to escape the boundaries of mathematical thought. Ontology is not the royal road to reality, any more than dreams are a singular road the unconscious. In a way, it does not even seem to get us very far at all; at least in terms of understanding “truth,” that exceptional ontogenesis of knowledge and/or being, which after all constitutes what philosophers have so far approached as the ideal “problem” according to which all others are to be modeled, and to which the creation of any new concepts must invariably be induced to correspond.

Risk. The utter annihilation of the soul is an unavoidable stage of becoming human. The human soul is restless, without certainties — at least until it has finally inoculated itself to the world, jamming any channels still open to the outside.

Nihil. Philosophy is a whirlwind from which very little can escape; the breaks are not always where they appear to be! A pure negation of philosophy remains pure philosophy; it is coded in the same semiotic, an inverse. Even suspending this decision (to separate essence from appearance) is still a philosophical position. Finally, even if we manage to truly escape philosophy and found a new science which could in turn truly take the “human” science of philosophy and grasp it as raw experimental material, the risks of a new asceticism corresponding to this “higher” rigor are nearly unavoidable. All these risks are not unlike those Nietzsche or Deleuze are continually warning us about. The worst consequence of nihilism is not necessarily that of forgetting our philosophy in our despair; rather there is a stranger, more uncanny possibility — that the pious suspension of philosophy would be capable of sweeping reality away along with it, abandoning us in some non-human plane of transcendent nullity, enslaved to transparent emptiness and arcane jargon. Nonetheless, a positive “nihilism” undoubtedly constitutes an ideal space for the creation of a new kind of science capable of grasping in turn any human science, and even philosophy itself.


Supplements. What is true cannot change; what changes cannot be truth — is this not the miserable dream in which too many have diffused their cleverness?

Lautman, mathematics, stellar cartographies

New Lautman Translation “Mathematics and Reality” over at Stellar Cartographies

Stellar Cartographies has contributed a much-needed translation of one of Albert Lautman’s essays on mathematical reality. Notable themes include Russel, Wittgenstein, Carnap, the Vienna School, Hilbert, philosophy of science, axiomatics, hypercomplex numbers and, you betcha, mathematical reality. Be sure to check this out along with his other translations of Badiou’s logic courses.