The term “sinthome was introduced by Jacques Lacan in his seminar Le sinthome (–76). The seminar extends the theory of the Borromean knot, which in RSI (Real, Symbolic, Imaginary) had been proposed as the structure of the. Jacques Marie Émile Lacan (April 13, to September 9, ) was .. and the Borromean knots of the s, it becomes clear that Lacan. “The unconscious,” Lacan writes, “on account of being ‘structured like a language ,’ i.e. The Borromean knot cannot be reduced to demonstration: because no.

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The fundamental structure in Lacanian psychoanalysis is a tripartite confluence of what Lacan called the real, the imaginary, and the symbolic orders. The intersection of the RSI constitutes the whole of the mental life of humans, whether in a cumulative way or in the various effects it produces — “together they cover the whole field of psychoanalysis” Evans Each of the orders not only constitutes a particular aspect of the mental life of the mature human, but also corresponds roughly to stages in the development of the infant human as it approaches maturity.

Nonetheless, while it is tempting to think of the orders as stages through which the individual moves, we must resist this temptation and retain their purity as orders or registers in which, through which, and boorromean which the individual is determined: This insistence on the existence of RSI as orders or forces that traverse the individual allows us to comprehend that though together they comprise a structure, that structure is far from lacxn.

Rather, the various orders contained in the RSI configuration constantly act on each other, defining each other and themselves in contradistinction to one another. They are simultaneously mutually interdependent for their definition and utterly incommensurable. The three orders together comprise a complex topological space in which the characteristic disorderly motions of the human mind can be plotted” Bowie Like a perpetually stymied dialectic, the three orders define themselves in purely negative relationships to each other yet never lwcan to lacah point of Aufhebung at which each is subsumed by the others to produce a clear, pure, and non-pathological synthesis.

The interaction of these three orders produces the analysable human subject even as their encroachment upon each other ,not a variety of more or less serious disruptions in that subject. The Borromean knot is a topological conceptualisation of the RSI in which each order is depicted as a circle that links each of the other orders.

## Jacques Lacan

It is “a way of illustrating the interdependence of the three orders of the real, the symbolic and the imaginary, as a way of exploring what it is that these three orders have in common” Evans Its chief value lies in the fact that it “is formed from two separate links joined to each other by a third, and in such a way that if any one of the links is severed the whole thing falls apart” Bowie That is, each of the orders is fundamental to the whole in such a way that the separation of any one would automatically result in the collapse of the entire nexus, with catastrophic results for the individual constituted and traversed by it: Everything that exists ex-sists — has its being in relation to that which lies outside it — and dichotomies and complementarities are no exception to the rule” Bowie Thus the symbolic is that which utterly excludes the real and which dissolves the imaginary.

This characterisation points to the fundamental role played by antagonism and aggressivity in the Borromean Knot as each of the orders fights for its supremacy by attempting to annihilate the conditions of its own existence i. The tensions, pressures, and cross-order “cuts” produced by this conflict constitute both the central phenomenon with which we are here concerned, the subject, and the various discontents that plague him or her.

References to knots can be found in Lacan’s work as early as the s e.

E,but it is not until boreomean early s that Lacan begins to examine knots from the point of view of their topological properties. Lacan moves to the much more complex area of the topology of knots. Topology is increasingly seen as a radically non-metaphorical way of exploring the symbolic order and its interactions with the real and the imaginary; rather than simply representing structure, topology is that structure. In this ,acan period of his bprromean, one kind of knot comes to interest Lacan more than any other: The Borromean knot shown in Figure 1so called because the figure is found on the coat of arms of the Borromeo family, is a group of three rings which are linked in such a way that if any one of them is severed, all three become separated S20, Strictly speaking, it would be more appropriate to refer to this figure as a chain rather than a knot, since it involves the interconnection of several different threads, whereas a knot is formed by a single lzcan.

Although a minimum of three threads or rings are required to form a Borromean chain, there borfomean no maximum number; the chain may be extended indefinitely by adding further rings, while still preserving its Borromean quality i. Lacan first takes up the Borromean knot in the seminar ofbut his most detailed discussion of the knot comes in the seminar of It is in this seminar that Lacan uses the Borromean knot as, among other things, a way of illustrating the interdependence of the three orders of the real, the symbolic lacna the imaginary, as a way of exploring what it is that these three orders have in common.

### Sinthome – Wikipedia

Each alcan represents one of the three orders, and thus certain elements can be located at intersections of these rings. In the seminar ofLacan goes on to describe psychosis as the unravelling of the Borromean knot, and proposes that in some cases this is prevented by the addition of a fourth ring, the SINTHOME, which holds the other three together. Borromean Knotat the place where the three orders RealSymbolic and Imaginary all intersect.

Introduced by Lacan inbodromean Borromean knot is the solution to a problem perceivable only in Lacanian theory but having extremely practical clinical applications.

### Why Topology Matters in Psychoanalysis – Part II |

Indeed, the symbolic the signifier and the imaginary meaning seem to have hardly anything in common—a fact demonstrated by the abundance and heterogeneity of languages.

Moreover, the real, by definition, escapes the symbolic and the imaginary, since its resistance to them is precisely what makes it real. This is why Lacan identified the real ,not the impossible. In psychoanalysis, the real resists, and thus is distinct from, the imaginary defenses that the ego uses specifically to misrecognize the impossible and its consequences.

If each of the three registers R, S, and I that make up the Borromean knot is recognized to be toric in structure and the knot is constructed in three-dimensional space, it constitutes the perfect answer to the problem above, because it realizes a three-way joining of all three toruses, while none of them is actually linked to any other: If any one of them is borromexn, the other two are set free. Reciprocally, any knot that meets these conditions is called Borromean.

Note that the subject is now defined by such a knot and not merely, as knt the cross-cap, as the effect of a cut figure 8. Unfortunately, this ideal solution, which could be considered normal without symptomsseems to lead to paranoia. Lacan considered this to be the result vorromean failure to distinguish among the three registers, as if they were knof, which indeed occurs in clinical work.

## Why Topology Matters in Psychoanalysis – Part II

Being identical, R, S, and I are only differentiated by means of a “complication,” a fourth ring that Lacan called the “sinthome. In this arrangement, the sinthome has the function of determining one of the rings. If it is attached to the symbolic, it plays the broromean of the paternal metaphor and its corollary, a neurotic symptom. Lacan also drew upon non-Borromean knots, generated by “slips,” or mistakes, in tying the knots.

Inot allowed him to represent the status of subjects who are unattached to the imaginary or the real and who compensate for this with laan Lacan, In such cases the sinthome is maintained. By using knots, Lacan was able to reveal his ongoing research without hiding its uncertainties. The value of the knots, which resist imaginary representation, is that they advance research that is not mere speculation and that they can ,acan the cost of abandoning a grand synthesis—a few “bits of the real” Lacan,session of March 16, Even though he knew something about topology as practiced by mathematicians, Lacan advised his students “to use it stupidly” Lacan,session of December 17, horromean a remedy for our imaginary simplemindedness.

He also recommended manually working with the knots by cutting surfaces and tying knots. Finally, for Lacan, topology had not only heuristic value but also valuable implications for psychoanalytic practice. Site is being targeted by spambots. Figure 1 – a 2D representation Figure 2 – a 3D representation. Retrieved from ” http: Navigation menu Personal tools Log in.

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