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When gaining some illumination from [[lacan]]'s [[schemata]], we should not forget this warning.
Such a precaution reveals the inadequation in [[principle]] between the graphic [[representation]] and its [[object]] (the object of [[psychoanalysis]]). Moreover, all the constructions gathered together here have no more than a didactic [[role]]: their relation with the structure is one of analogy.
On the [[other]] hand, there is no occultation of the [[symbolic]] in the [[topology]] that lacan sets up, because this [[space]] is the very space in which the relations of the [[logic]] of [[The Subject|the subject ]] are schematized. The inadequation of the analogies is pointed out by Lacan quite unambiguously on the [[optical]] [[model]] of the ideals of the person, precisely in the [[absence]] of [[the symbolic]] object 0 ([[objet]] [[petit a]]). From the note added to SchemaR (note 18, p. 223), one may learn the rules of transformation of intuitive geometry in the topology of the subject.
f·-A.M.
,,~~
Commentary on the graphs 333
eY..ponentiated into '[[capital]] Other', the [[undoing]] of the subject of the signifying [[chain]] coming to [[double]] the ego. The symmetry or reciprocity belongs to [[The Imaginary|the imaginary ]] [[register]], and the [[position]] of the [[Third]] Party implies that of the fourth, which is given according to the levels of the analysis, the [[name]] of '[[barred]] subject', or dummy ([[mort]]). (Cf. p. 229,
[[psychoanalytic]] bridge).
,~~
II The structure of the subject
('[[Schema R]]', p. 193; '[[Schreber]]'s Schema' (1), p. 212)
Il• Composition of [[The Symbolic|the symbolic]], the imaginary and the [[real]] ('Schema R') 'Schema R' is made up of the meeting of two triangles, the symbolic ternary and the imaginary ternary, delimited in a sq'.lare by the base of each [[triangle]]. If the triangle of the symbolic occupies half of the square to itself, the other two [[figures]] sharing the other half, it is because, in [[structuring]] [[them]], it must make them overlap. The dotted line stands for
the imaginary.
This construction requires a dOl1~le [[reading]]:
It may be read as a representation of the statlCS of the subject. Thus it consists of: (a) the triangle I resting on the [[dual relation]] between the Ego and the Other ([[narcissism]], [[projection]], [[captation]]), with, for its apex, the [[phallus]], the imaginary object 'in which the subject [[identifies]] himself .•. with himself as a [[living]] being' (p. 196), that is to say, the [[species]] under which the subject represents himself to himself; (b) the field S, with the [[three]] functions of the Ego [[Ideal]] I in which the subject is mapped in the register of the symbolic, of the [[signifier]] of the Object M, of the Name-of-the-[[Father]] F in the locus of the Other O. The line I M may be regarded as doubling the relation between the subject and the object of [[desire]] through the mediation of the [[signifying chain]], a relation that the [[lacanian]] [[algebra]] was to write as $00 (but the line immediately proves to be an inadequate representation); (c) the field R, framed by the imaginary relation and the symbolic relation.
But it is also the [[history]] of the subject that is notated here: on the segment i M are placed the figures of the [[Imaginary other|imaginary Other]], which culminate in the [[figure]] of the [[mother]], [[The Real|the real ]] Other, inscribed in the symbolic under the signifier of the [[primal]] object, the first exterior to the subject, which bears in [[Freud]] the name of das [[Ding]] (cf. Bcrits,
p. 656); on the segment m I follow the imaginary identifications that [[form]] the Ego of the [[child]] until he receives his statute in the real and form the symbolic [[identification]]. One finds once again, therefore, a specified [[synchrony]] of the ternary S: the child in I is linked to the mother in M, as desire of her desire; in the third position is the Father, transmitted by the [[speech]] of the mother.
In his note of 1966, Lacan shows how to translate this square into his topology. The surface R is to be taken as the 'flattened form' (mise-a.-plat) of the figure that would be obtained by joining i to I and m to M, that is, by the torsion that characterizes the Moebius [[strip]] in [[complete]] space: the presentation of the schema in two dimensions is to be referred, therefore, to [[The Cut|the cut ]] that spreads the strip out. This explains why the straight line 1M cannot refer to the relation between the subject and the [[object of desire]]: the subject is simply the cut of the strip, and what falls from it is called the object 0 ([[objet petit a]]). This verifies and complements [[Jean-Claude Milner]]'s [[formula]] on '$Oa': 'the terms are heterogeneous, whereas there is homogeneity attached to the places' (Cahiers pour l' [[analyse]], no. 3, p. 96). That is the [[power]] of the subject.
[[anticipation]], whose law imposes at the first intersection (on the vector --
S-S') the last [[word]] (that is to say, [[punctuation]] )and [[retroaction]], enumerated
in the formula of intersubjective [[communication]], which necessitates a second intersection, in which is situated the receiver and his battery. [[Graph]] 2 composes, on the basis of the [[elementary cell]], the [[imaginary identification]] and the [[symbolic identification]] in the subjective synchrony; the [[Signifying Chain|signifying chain ]] is here given its specification as speech. It becomes the vector of the [[drive]], between desire and [[phantasy]], in the complete graphthe intermediary graph simply punctuating the question of the subject to the Other: 'What does he [[want]] of me?' to be inverted in its [[return]], 'What
do you want of me?'
[[Category:Écrits: A Selection]]
