Schroeder, Jeanne L. The Four Lacanian Discourses or Turning Law Inside-Out. New York: Routledge-Cavendish, 2008.
objet petit a
Lacan’s theory is one of negativity and gaps. The subject is barred, split, castrated. As a consequence, the subject always desires. The objet petit a as object cause of desire is by definition a lost, excluded object that stands in for the radical negativity of the subject’s soul. If it were not excluded, if the subject ever obtained his true desire, he would cease to be castrated, and lose his subjectivity. Consequently, the relationship between the barred subject and the objet petit a is, necessarily, an impossibility, a non-relationship. There can be no connection between the two in the symbolic order. The barred subject, however, finds this gap between him and the object of his desire intolerable. He, therefore, imagines that he can bridge this gap and attain the object. This is “fantasy”— imagining that one obtains and has a relationship with the object cause of one’s desire. 178
sinthome
Lacan’s metaphor for the relationship between the three orders is the Borromean knot – three circles overlapping in such a way that if one is broken, the knot comes undone. This expresses the idea that each order – and subjectivity itself—necessarily requires the others.
Unfortunately, Lacan found that his theory of the knotting of subjectivity ran aground with respect to empirical evidence. Clinical experience indicated that breaking one ring of the knot does not always throw the analysand into psychosis. His theory would be falsified unless he could hypothesize an ancillary theory that would explain this apparent empirical anomaly.
Late in life Lacan proposed that the empirical problem of the Borromean metaphor was in fact the same as the empirical problem of the Freudian theory of trauma and symptoms. Freud and Lacan originally hypothesized that a trauma and its symptoms should dissolve in analysis. This seemed true by definition: if a trauma is that which is real because it has not been integrated into the symbolic, its symptoms should no longer occur once a trauma is articulated. Nevertheless, some analysands lovingly cling to their symptoms even after “successful” analysis. Once again, this observation threatened to falsify the theory, unless Lacan could develop an ancillary hypothesis explaining this apparent empirical anomaly. Lacan’s late revelation was that the same ancillary hypothesis could solve both the mystery of the persistence of subjectivity and the mystery of the persistence of symptoms.
Studying the mathematical field of topology, Lacan realized that the traditional terminology of the Borromean knot is misleading. The figure is not technically a knot, but a chain – which is why it should fall apart when the weakest link is broken. Lacan posited that there might be a fourth category – a true knot – keeping the three orders bound together in the event of breakage. Using what he claims is an old French word for symptom, he called this fourth the sinthome. Metaphorically, the sinthome is like the safety chain on a bracelet that keeps it from falling off in the event the clasp breaks. The knot of the sinthome ties together his earlier understanding that it is the real of the symptom that gives structure to the subject. Understood in this way, the sinthomeis not merely real. Like the objet petit a, it also participates in the imaginary and the symbolic. The sinthome is located where the three orders meet. It is precisely the limit where the fantasies of the imaginary are unable to cover up the holes in the symbolic that constitutes the trauma. This is why symptoms can linger even after trauma is articulated. Even though the trauma is integrated into the symbolic through its interpretation, there is a part that remains supplementary to the symbolic and, therefore, serves as the real of trauma. This symptom that is at the center of the Borromean chain knitting together the three orders is in effect nothing but the subject herself. The persistence of the symptom actually explains the persistence of the subject despite the breaking of the Borromean chain. In other words, it is neurosis itself that keeps psychosis at bay. 110-111