1. Gödel from a Platonic point of view. I mean to read Incompleteness from the point of view of the thesis (Timaeus and elsewhere, oft flattened into "like knows like", then empiricized into the vicious circles of Aristotlean perception) that knowing, requiring shared logical form, takes place within eidetic and choric metalogical folds. Diagonalization makes precise the degree to which (in partial agreement with the skeptical paradox) "knowledge of ignorance" is problematic, as it cannot just be some representation "of ignorance" but a participation in it, though without collapsing into simple ignorance (which from the Socratic metalogical/dialectical standpoint is read as "ignorance of ignorance"), and without collapsing into a mere potentiality read as a potentiality merely for future first-order knowledge. (Which is why the "perhaps it's really about ease/facility/motivation of learning" suggestion is never endorsed by Socrates - it's close to that, but not that. The metalogical is operative in learning, but the encounter with the Idea and the Good requires that what is operative in-itself in learning be grasped for-itself.) I want to defend the Socratic-Platonic constant that links this particular difficulty, even this failure of first-order knowledge, to both Truth and the Good.
2. From regulative Idea to negative Idea. The regulative Idea, as Kant speaks of it, seems to be a maybe, a may-be; its being can be hoped for, and philosophy's self-criticism is finally only a means to the end of exempting this from philosophical criticism. The "undecidable" form of the antinomies hides this fundamental decision for a deferred metaphysical imaginary. The negative Idea, as I propose it, building on Badiou, begins with a rigorous demonstration that the totalities in question are not antinomian but strictly contradictory. It is not a may-be but an is-not that we have in the Idea, not a "may-exist" but an "inconsists". But what must be fundamentally and resolutely negative "in general", at the level of FOL, nevertheless has productive metalogical consequences. That is to say, there is a whole class of phenomena, recognizable, and whose bad handling is recognizable as comprising the logical core of some of our more intractable philosophical and political problems, that are elucidated by the acquisition of a higher, metalogical, syntax. Rather than providing general rules, correlating with the categories of "world" and "use", etc. these phenomena show themselves as boundary problems, exceptions, folds, events, and, when obscurely seen, as paradoxes. If I think that my work has any relevance it is because I think that as the relevance of these phenomena continues to increase as a function of technological acceleration (the material engine of the noted phenomenon of the "normalization of the exception") our political future depends on becoming able to speak, in a clear way, about these phenomena. Only in this way can the essence of democracy be secured: if we have concepts that are faster, computationally speaking, than the changes that beset us, and which therefore can be used to talk, together, about what we otherwise unconsciously merely undergo.
3. Platonist and Aristotelian. At different times, both will invest in the familiar metonymy evil~sickness~nonbeing. But the homogenization of this thesis into a single "metaphysical" tradition misses the essential difference in its use in the two settings. For the Aristotelian, the biologist, nonbeing is lack, privation; it is imagined fundamentally in terms of an occurrent injury or deformity in an animal which, at least in the paradigmatic case of a healthy member of the species, is a cohesion or cooperation of matter and form. For the Platonist, nonbeing is folded essentially into being - though in a twofold way at the level of existence and of idea. As the different/other/choric, nonbeing is of the fabric of existence, whose internal relation to the Idea is given as simple coherence-toward-entelechy not for philosophy but only at the level of appearance/doxa, which homogenizes incommensurables. Ontologically, it is a matter of conjunction-disjunction, the two are always coming apart just as much as they are coming together. Likewise, both &Pi and A can identify the True with the Good, yet while, for the Aristotelian, the True is the consummation and totality of knowledge and the Good coheres with Being, for the Platonist the True opens up the hole in knowledge and Being that shows the Good its work, and so is finally as dependent on the function of non-Being as evil is (though without them becoming confused, in the impotence-producing style of deconstruction?) What is true, for the Platonist, is that it's just as right to say that Being is sick as it is to say that sickness itself refers us to non-Being. Equivalently, there is not, ontologically, an organism. What is for-itself can never be stabilized with respect to its being, even (especially) in principle; the healthy organism is not a regulative idea. (Sartre as obscure Platonist, confused by the Aristotelian account of the role of essence in relation to existence, i.e. as stabilization and telos.) (Note: Admittedly, one has to do some work to square the apparent eideticization of the perfect animal in the demiourgos-story with this disjunction...it's complicated by the fact that we're speaking on the plane of myth; once we reify the Good as the demiourgos, we perhaps have to reify the model as well...??) We do not advance the care of beings by ontologizing the goals of care, by writing them into Being. The animal is not an ontological given. Even at the level of the cohesion of the physical universe as the most stable animal (which again admits, in Timaeus, presents Aristotelian overtones) the animal is only the result (better: a node) of care's art of weaving. (The mytheme of the demiourgos, ridiculous if taken literally, is introduced, it seems, to preserve this difference even in the case (the universe, the world as a whole) where it seems most likely to disappear, but a mytheme, as we see, will not take care of the problem finally; religion can only be a reminder to philosophize...)
4. Our politics and Nature. Today's Talk of the Nation exemplifies the cognitive and moral debt-trap that our reflexive Aristotelianism involves us in. In order to deal compassionately with children who murder, we have to argue, as with the mentally disabled, for specific deficits, relative to that paragon of presumed competency, the responsible adult. These efforts of researchers/activists are well-meaning, but opening a space of compassion over here, in this philosophical-political environment, means closing the trap tighter over there. Mercy for these is correlative with demonizing those, and the conservatives rightly complain that this process of discovering deficits can go on forever with a disturbing arbitrariness. What is needed, of course, and "Socratic intellectualism" calls us explicitly to this, is not finally the discovery and special recognition of more and more exemptions, but a rethinking of the rule. In this respect, nothing draws better the disjunctive moral consequences of Plato's and Aristotle's thought than their contradictory evaluation of akrasia. The Platonist - it seems ironic at first - is a better doctor than the Aristotelian, who wanted to be a doctor right away and absolutely - to be a doctor (and not a mathematician). She is the better doctor because s/he begins by acknowledging that illness is not occurrent but structural. (Perhaps one way of reading the holism of the cure in Charmides is this: there are no finally specific deficits, so no finally iterable/effective potions, no algorithms for cures that one can carry away in pill or written form; illness is as global and complex as health; the talking cure is not a writing cure, a blogging cure, a mass-media cure....) The Aristotelian localization of lack, grounded FO-"logically" in the thesis of Metaphysics iota, which puts a cap (@ contrariety-steresis) on the power of difference, finally normalizes disability and marginalizes it in one stroke. It becomes possible to say what is wrong, to limit liability, to organize damages. Pain and blame are finite, traceable, occurrent for the Aristotelian, infinite, traumatic, and subject to an endless hermeneutic that is the work of Goodness itself for the Platonist - a work that mobilizes all of one's reflexive capacities for self-consciousness, humility, and responsibility, as well as the entire intellect; the doctor-technician must become philosopher, rather than the other way round, at the price of engineering only a life that fails globally to be worth living. Mercy is supererogatory for the Aristotelian, given this finite economy of responsibility, while for the Platonist, interpretive generosity (even if it looks to smaller minds like simple irony) is an attitude correlative with ontological insight: the sickness had, properly speaking, no beginning, it is not an isolate to be cut out, a local hole to be filled, it is coextensive with existence, and it is in the doctor as much as in the patient. In beings, the only meaning and glory of Being, Being is sick. Sick essentially and forever. Yet also in ways on which fundamental progress, empirically and at the level of an attitude, is possible, even infinite (and therefore revolutionary) progress, relative to slower algorithms of justice. This is the work of the infinite, which metalogically clarified as the work of the Void, can reconcile a purified Plato with a purified Levinas...