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The Seminar of Jacques Lacan, Book IV: The Object Relation

Jacques Lacan

by Jacques Lacan

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Synopsis

Lacan's Seminar IV, The Object Relation (1956–57), takes aim at the dominant post-Freudian orthodoxy — the British and French Object Relations schools — by arguing that their reduction of analytic experience to a dyadic subject–object harmony fundamentally betrays Freud's own insight that the object is always already a lost and re-found object, constitutively marked by lack and repetition. Against this, Lacan introduces a tripartite schema distinguishing three modalities of lack (castration, frustration, privation) each indexed to one of the three registers (symbolic, imaginary, real) and to a corresponding type of agent and object, thereby providing the structural grammar for the entire seminar. He moves systematically through the perverse formations — fetishism, transvestism, the beating fantasy, female homosexuality — to demonstrate that desire is not a simple tendency toward a pre-given object but is always organized around what the object lacks, condensed above all in the figure of the imaginary phallus as the mother's missing object. The bulk of the seminar is devoted to an extended structural reading of Freud's case of Little Hans, which Lacan treats through the lens of myth-analysis (borrowing Lévi-Strauss's structural method) to show how the phobic signifier (the horse) functions not as a symbol of the father but as a metaphorical substitute filling the gap left by the real father's shortcoming, converting free-floating anxiety into a bounded, navigable fear. The Oedipus complex and castration complex are reformulated in terms of the paternal metaphor and the Name-of-the-Father as the structural condition for the subject's inscription into the symbolic order. Lacan concludes that Hans's resolution — structurally atypical, installing an imaginary rather than fully symbolic paternity — illuminates the limits of a cure conducted by the real father rather than through the properly transferential dimension, and the final session extends this structural analysis to Leonardo da Vinci, drawing a parallel between Hans's doubled maternal figure and Leonardo's phallic-mother imaginary, positioning both as cases of an atypical Oedipal outcome organized around narcissistic identification with the maternal phallus as Ego Ideal.

Distinctive contribution

Seminar IV's most singular contribution to the Lacanian corpus is the construction of the tripartite table of lack — castration/frustration/privation, mapped across symbolic/imaginary/real registers with their respective agents and objects — a formal apparatus that no other seminar elaborates with quite the same systematic care. Where Seminar III focused on psychosis and the foreclosure of the paternal signifier, Seminar IV turns to the neurotic and perverse side of the same structural divide, showing how the various solutions to the problem of the mother's desire (fetish, phobia, perversion, hysterical identification) are not developmental stages but structurally distinct positions within the triadic mother–child–phallus relation. This formal-structural approach to clinical phenomena — distinguishing what kind of lack, operated by what kind of agent, on what kind of object — remains one of the most operationally precise instruments Lacan produced, and it grounds the subsequent theory of objet petit a in a way that the more algebraic later seminars presuppose but do not reconstruct from scratch.

The seminar's extended structural reading of the Little Hans case is without parallel in the corpus. Rather than following the interpretive tradition that treats the horse as a father-substitute, Lacan reads the entire mythical elaboration — giraffes, bathtubs, borers, storks, drawers, penknives — as a system of signifying transformations governed by internal combinatory laws. Deploying Lévi-Strauss's structural method for myth analysis, he shows that each element in Hans's fantasmatic series is a signifying bundle whose relations to other elements (not their individual content) constitute the analytic object. This produces a genuinely structural theory of phobia as metaphor: the phobic object is not the father but a supplementary signifier that does the work the father's symbolic intervention failed to do, temporarily suturing the gap between the imaginary phallic game and the real penis. No other text in the primary Lacanian corpus tracks a single case through this kind of extended signifier-by-signifier analysis, making Seminar IV an indispensable methodological model.

Finally, Seminar IV is distinguished by its sustained polemical engagement with the Object Relations tradition (Balint, Winnicott, Bouvet, Marty–Fain) as a theoretical foil. By showing that what this tradition calls "accommodation to the real object" is in fact an ideologically managed artefact — a pseudo-perversion that collapses at the first intrusion of the symbolic — Lacan demonstrates that the entire framework of objectal maturation presupposes what it ought to explain: the structure of desire as organized around lack. This polemic is simultaneously a defense of Freudian metapsychology and a productive restatement of it, making Seminar IV the locus where the Lacanian critique of ego psychology and object-relations theory is most explicitly joined to a positive structural alternative.

Main themes

  • The object as constitutively lost: Freud's Wiederfindung against object-relations harmony
  • The tripartite schema of lack: castration/frustration/privation across symbolic/imaginary/real
  • The imaginary phallus as the organizing principle of pre-Oedipal and Oedipal development
  • Perversion (fetishism, transvestism, beating fantasy, female homosexuality) as structural positions organized around the mother's lack
  • The paternal function, the Name-of-the-Father, and the paternal metaphor as conditions for symbolic inscription
  • Phobia as a metaphorical substitute signifier compensating for the real father's shortcoming
  • The structural analysis of Little Hans's mythical elaborations via Lévi-Straussian combinatorics
  • The distinction between real, imaginary, and symbolic father and the irreducibility of the symbolic father
  • Anxiety transformed into fear: the phobic object as crystallizing signifier that introduces structural limits
  • Narcissistic identification with the maternal phallus as Ego Ideal: the atypical Oedipal outcome in Hans and Leonardo

Chapter outline

  • Introduction (Chapter I) — p.3-17
  • The Three Forms of the Lack of the Object (Chapter II) — p.18-32
  • The Signifier and the Holy Spirit (Chapter III) — p.33-73
  • The Dialectic of Frustration (Chapter IV) — p.51-67
  • On Analysis as Bundling and the Consequences Thereof (Chapter V) — p.68-90
  • The Primacy of the Phallus and the Young Homosexual Woman (Chapter VI) — p.87-107
  • A Child is Being Beaten and the Young Homosexual Woman (Chapter VII) — p.108-127
  • Dora and the Young Homosexual Woman (Chapter VIII) — p.128-144
  • The Function of the Veil (Chapter IX) — p.146-159
  • Identification with the Phallus (Chapter X) — p.160-178
  • The Phallus and the Unfulfilled Mother (Chapter XI) — p.174-191
  • On the Oedipus Complex (Chapter XII) — p.193-225
  • On the Castration Complex (Chapter XIII) — p.209-225
  • The Signifier in the Real (Chapter XIV) — p.226-242
  • What Myth is For (Chapter XV) — p.243-279
  • How Myth is Analysed (Chapters XVI–XVII) — p.263-296
  • Circuits and Permutations (Chapter XVIII) — p.297-403
  • Farewell: From Hans-the-Fetish to Leonardo-in-the-Mirror (Chapter XXIV) — p.404-426

Chapter summaries

Introduction (Chapter I) (p.3-17)

Lacan opens the seminar by situating it in relation to his preceding three years of work (on technique/transference, the unconscious, and psychosis). Having built the conceptual apparatus — culminating in the L-Schema with its distinction between the subject's relation to the big Other and the imaginary axis a–a' — he is now ready to address the Object Relation, the central preoccupation of contemporary analysis, but on terms that are his own. The opening gesture is polemical: the British and French Object Relations schools have reduced the analytic situation to a dual subject–object relation along the imaginary axis, substituting a fantasy of harmonic complementarity for Freud's intractable insight that the object is always a re-found object, a Wiederfindung shaped by lack and repetition. Lacan insists that phobia and fetishism are his privileged objects of investigation precisely because they resist any harmonizing account: phobic objects (lions, horses) bear no obvious relation to the subject's experience, and fetishes cluster around a strikingly limited set of objects (shoes, garments), residues that no developmental or instinctual account can fully dissolve.

The chapter introduces the central tension between the real as Wirklichkeit (what effectively occurs, what has force) and the real as that against which desire is measured and always found wanting. Lacan rehearses the two paradoxes Freud identified — that at the level of the pleasure principle there is both a tendency toward rest and a yearning (Lust), and at the level of the reality principle there is both resistance to be overcome and an active detour — and insists these paradoxes cannot be resolved at the level of subject–object dyads. The L-Schema, with its four poles (subject, Other, ego, little other), is reintroduced as the minimum topological structure needed to think analytic experience, and the seminar's program is announced: to work through the three forms of the lack of the object and their structural consequences.

Key concepts: Object as lost/re-found, L-Schema, Imaginary vs. Symbolic, Object Relations critique, Phobic object, Fetish Notable examples: Little Hans phobia; shoe and garment fetishes

The Three Forms of the Lack of the Object (Chapter II) (p.18-32)

This chapter introduces the conceptual core of the seminar: the tripartite table of lack, distinguishing castration, frustration, and privation as three structurally distinct modalities, each indexed to a specific register and a specific type of agent–object relation. Frustration is an imaginary detriment inflicted by a symbolic agent (the mother as symbolic power); it concerns not the real object but the love of the one who could give the gift — it is always already in the domain of revendication, of demand. Privation is a real hole, a lack in the real; but the real being full by definition, a privation can only be symbolically noted, not directly experienced. Castration operates on an imaginary object (the phallus) by a symbolic agent (the father as castrating function), and it is through castration — the symbolic inscription of the imaginary phallus as missing — that the subject enters the symbolic order of exchange and the Law.

Lacan situates this tripartite schema against two foils: Melanie Klein (whose developmental theory is accused of inscribing the entire Oedipus complex preformatively in instinct, leaving no room for the constitutive intervention of the symbolic from the outside) and Winnicott (whose transitional objects are praised for gesturing toward the structural function of the fetish but criticized for stopping short of the symbolic formalization required). The decisive point is the primacy of the signifier over any naturalistic or biological account of the object: the phallus is not the penis but the imaginary function of the penis-as-image, and its supervalence in the analytic dialectic cannot be deduced from anatomy. The chapter ends with the introductory triangulation of mother–child–phallus as the pre-Oedipal constellation from which fetishism, phobia, and the various perverse solutions each emerge as distinct structural responses.

Key concepts: Castration, Frustration, Privation, Phallus (imaginary), Transitional object, Symbolic/Imaginary/Real Notable examples: Winnicott's transitional objects; Melanie Klein's developmental theory; English girl's transitory phobia

The Signifier and the Holy Spirit (Chapter III) (p.33-73)

Lacan uses the metaphor of a hydroelectric power station to introduce the function of the signifier: just as a power station does not merely transform existing energy but accumulates and redirects it through a new structural articulation, the signifier does not merely re-present experience but retroactively reorganizes it. The 'Holy Spirit' of the chapter title refers to precisely this dimension of the signifier as that which, irreducible to any naturalistic substrate, intervenes to produce new structural realities. The chapter then returns to the dialectic of the pleasure and reality principles, arguing that Freud's two paradoxes — desire's indestructibility and the detour through reality — are intelligible only through the opposition between the signifier's combinatory law and any given signified content. Lacan cites the Seminar on 'The Purloined Letter' and its orthography argument: from the most elementary emergence of the signifier, a law of combination arises that is internally independent of any real content, and it is this law that organizes memory, desire, and the return of the repressed.

The chapter pivots to the clinical question of how the child accedes to the imaginary phallus as the mother's lack. A case from the clinical literature (an English girl's transitory phobia, discussed via a bulletin from the Association des psychanalystes de Belgique) allows Lacan to demonstrate the dialectical movement: the child first discovers that she lacks the phallus (imaginary privation), then discovers that the mother also lacks it (symbolic frustration), and this double discovery precipitates the phobic outbreak — a fantasmatic creature (the dog) steps in to symbolize the unsymbolizable, to make the situation 'thinkable and symbolically liveable.' The father's symbolic function is decisive here: when he is sufficiently present, he maintains the triadic distance between mother, child, and phallus that prevents the child from having to fill the gap herself (as the girl-phallus, or through fetishistic identification). The failure of this function — or rather, the attenuation of the real father's capacity to incarnate the symbolic father — is announced as the key problematic to be pursued in the cases that follow.

Key concepts: Signifier, Pleasure/Reality principle, Paternal function, Imaginary phallus, Phobia as symbolic mediation, Symbolic father Notable examples: Hydroelectric power station metaphor; English girl's transitory phobia; Seminar on 'The Purloined Letter'

The Dialectic of Frustration (Chapter IV) (p.51-67)

This chapter develops the theory of frustration by situating it precisely within the tripartite table and distinguishing it from the loose usage prevalent in the Object Relations literature. Frustration is not simply the refusal of a satisfaction; it is an imaginary detriment inflicted by a symbolic agent (the mother), and what is at stake is not the object itself but the love the gift represents. Lacan reads the fort–da game (from Beyond the Pleasure Principle) as the inaugural symbolic operation: the child's throwing away and retrieval of the spool is not an expression of a pre-given drive but the child's first symbolic mastery of the mother's absence through the binary presence/absence of the signifier. It is this symbolic reversal — the infant's power over maternal almightiness, exercised not through action but through the manipulation of 'nothing' — that introduces the dialectic of desire as irreducible to need.

The chapter also elaborates the transition from the symbolic mother (the first presence–absence that the child symbolizes in the fort–da) to the real mother (who, once symbolically constituted as power, can refuse). It is this newly real mother — omnipotent and refusing — who introduces the dimension of almightiness (Wirklichkeit) that Lacan identifies as the genuine source of the child's structuring situation, against the common analytic fiction of infantile megalomania. The phallus enters this dialectic not as a real organ but as the imaginary signifier of the mother's lack: it is what, beyond the child himself, the mother desires, and the child's entire pre-Oedipal strategy consists in positioning himself in relation to this enigmatic beyond — as the phallus, as the bearer of the phallus, or as the one who can produce the phallus for the mother. A brief clinical vignette of the English girl's phobia exemplifies this structure at its threshold, where the father's intervention suffices to maintain the triadic distance and prevent the child from being wholly captured in the mother's imaginary phallic economy.

Key concepts: Frustration, Fort-da game, Real mother vs. symbolic mother, Maternal almightiness, Imaginary phallus, Demand Notable examples: Fort-da game (Freud, Beyond the Pleasure Principle); English girl's transitory phobia

On Analysis as Bundling and the Consequences Thereof (Chapter V) (p.68-90)

The chapter develops a sustained critique of the Object Relations school through the figure of 'bundling' — an archaic courtly practice in which a couple shares a bed under strict conditions of non-contact that Lacan treats as an unwitting metaphor for the Marty–Fain conception of the analytic situation. For Marty and Fain, the analytic situation is conceived as a drive-laden dyadic encounter between subject and analyst-as-real-object, mediated only by the constraint of motor inhibition; therapeutic progress is measured by proximity to the real object (culminating, absurdly, in the patient's perception of the analyst's odour of urine). Lacan demonstrates, through a clinical case reported in the same bulletin, that what this school produces is not genuine analytic progress but an artefact — a pseudo-perversion, fragile and reversible, that collapses at the first intrusion of the symbolic (the patient being caught by surprise by an usherette). The 'bundling' metaphor captures precisely the methodological confusion: the analytic relation is not a dyadic real encounter but a symbolic relation structured through speech and the big Other.

The chapter connects this critique to the theory of the anaclitic relationship (Anlehnung), arguing that Freud's distinction between anaclitic and narcissistic love is not a developmental sequence but a structural one: the anaclitic relationship is grounded in the infant's propping of the sexual drive against the self-preservative functions, but this propping is itself already shaped by the symbolic order. The clinical case also allows Lacan to demonstrate the transition from phobia to perversion: when the analytic situation is misconceived as a real object relation and the analyst intervenes as a real object (trying to 'take away' the phobic object by naming it), the result is not the dissolution of the phobia but a regression to a perverse solution — the subject constructs the pseudo-perversion as a way of managing the unfulfillable desire of the other without passing through the symbolic. The chapter ends by announcing the second part of the seminar's program: the detailed structural analysis of the perverse ways of desire.

Key concepts: Object Relations critique, Bundling, Anaclitic relationship, Pseudo-perversion, Analytic relation as symbolic, Transference Notable examples: Marty–Fain article on motility and object relation; Lebovici clinical case; Courtly love tradition

The Primacy of the Phallus and the Young Homosexual Woman (Chapter VI) (p.87-107)

Lacan opens the second part of the seminar with an analysis of Freud's case of the young female homosexual ('The Psychogenesis of a Case of Homosexuality in a Woman', 1920), using it as a structural paradigm for understanding how the female subject negotiates the primacy of the phallus. Beginning from Freud's 1923 paper on the Infantile Genital Organization and its principle of the Primat des Phallus — that the phallic phase is the final childhood phase for both boys and girls and is organized around the binary presence/absence of the phallus — Lacan shows that the young woman's perversion does not result from a simple frustration of a normal heterosexual wish but from a structural reversal that Freud himself partially formulates: following the mother's real pregnancy (the birth of a third brother), the patient identifies with the father and takes the lady as her love object, but in a characteristically metonymic mode — pointing along the signifying chain to what lies beyond (the refused paternal phallus), rather than substituting herself under a new signifier (as in hysterical metaphor).

The decisive moment is the patient's suicide attempt, which Lacan reads through the German term Niederkommt: her fall from the bridge is both a symbolic fall (collapsing the situation to its primal givens) and a symbolic childbirth — she enacts, in the real, what was refused her on the symbolic plane (the father's child). The analysis concludes that female homosexuality here is structured metonymically: the young woman does not identify with a signifier that would position her under the phallic law but alludes to the phallus as something always beyond, serving the lady in a characteristically courtly mode, without demand and without hope of return. The contrast with Dora's hysterical metaphor — and the structural distinction between perversion as metonymic and neurosis as metaphorical — is announced here and will be developed in the following chapters.

Key concepts: Phallus (primacy of), Female homosexuality, Metonymy vs. Metaphor, Identification, Narcissism, Suicide as symbolic act Notable examples: Freud, 'The Psychogenesis of a Case of Homosexuality in a Woman'; Niederkommt / symbolic childbirth

A Child is Being Beaten and the Young Homosexual Woman (Chapter VII) (p.108-127)

This chapter uses Freud's 'A Child is Being Beaten' (1919) to analyze the structure of perverse fantasy in general, and to distinguish the three phases of the beating fantasy as three successive positions of the subject in relation to the intersubjective structure. The first phase — 'My father is beating my brother/sister' — is a fully intersubjective, triadic structure in which the beating functions as a communication of love to the subject as third-party witness. The second phase — 'I am being beaten by my father' — is a radical desubjectivation: the subject is reduced to pure object of the action, stripped of any intersubjective position; Lacan treats this as the hinge-point of the perverse structure, where the signifier is preserved in a 'pure state,' divorced from intersubjective signification. The third phase — 'A child is being beaten' — returns to a triadic structure but now fully anonymized; the subject has disappeared from the fantasy as a named position and survives only as the anonymous onlooker whose voyeuristic satisfaction organizes the scene.

Lacan argues that this structure reveals the essential mechanism of perversion: it is not a pre-Oedipal relic but a product of the Oedipus complex, constituted through and by the paternal function. The valorization of the imaginary image in the third phase — the frozen tableau — is linked structurally to the fetish as screen-memory: both represent a halting of the historical chain at the moment before the appearance of the mother's lack, with the image functioning as a signifying residue that holds the repressed in suspension. The chapter also introduces the key formalization: the perverse structure preserves the signifier 'in its pure state' at the level of the big Other, divorced from intersubjective address, which is what distinguishes it from the neurotic's metaphorical substitution and the psychotic's foreclosure.

Key concepts: Beating fantasy, Perverse fantasy, Desubjectivation, Screen-memory, The big Other, Oedipus Complex Notable examples: Freud, 'A Child is Being Beaten'; Anna Freud vs. Melanie Klein on child analysis

Dora and the Young Homosexual Woman (Chapter VIII) (p.128-144)

This chapter develops the structural contrast between neurosis and perversion through a parallel reading of two cases: Dora (hysteria) and the young homosexual woman (perversion). The central distinction is between metaphor and metonymy as two modes of the subject's relation to the signifying chain. Dora's hysteria is characterized by a perpetual metaphorical self-positioning: she situates herself in turn as Frau K., as her father, as Herr K., constantly substituting herself under different signifiers in an attempt to answer the question 'What is a woman?' — which is at the same time a question about what she herself is. Frau K. is not simply Dora's love object but the living embodiment of the signifier of femininity that Dora cannot accommodate in herself; what Dora loves in Frau K. is precisely what Frau K. lacks (the phallus), just as what is loved in any love object is always what the object lacks.

By contrast, the young homosexual woman's perversion operates metonymically: she does not substitute herself under a new signifier but slides along the chain toward what lies beyond, pointing allusively to the refused paternal phallus without ever claiming it. Lacan formalizes this using Lévi-Strauss's exchange theory: within the symbolic order, woman is structurally positioned as the object of exchange rather than as an exchanging subject, and the young homosexual woman's 'service' of the lady — her chivalric, non-demanding passion — represents a refusal of this position that nonetheless remains structured by it. The chapter also elaborates the role of the gift in the dialectic of frustration: the gift, when freely given, makes the object vanish as an object (it becomes the sign of love, not the object of need), but when the request is refused, the object crystallizes as something demanded by right — the entry into narcissistic revendication. The contrast between Dora's triangular positioning (father–Frau K.–Herr K.) and the young woman's triangular positioning (father–mother–lady) is mapped onto the L-Schema and the chart of the three lacks.

Key concepts: Metaphor vs. Metonymy, Hysteria, Perversion, Desire, Gift and lack, Symbolic exchange Notable examples: Freud, 'Fragment of an Analysis of a Case of Hysteria' (Dora); Freud, 'The Psychogenesis of a Case of Homosexuality in a Woman'; Lévi-Strauss, Elementary Structures of Kinship

The Function of the Veil (Chapter IX) (p.146-159)

Lacan turns to fetishism proper, which he takes as the paradigmatic perversion because it makes most visible the structural logic of desire as organized around lack. Fetishism is introduced through Freud's 1927 paper: the fetish is the symbol of the woman's penis — not the real penis but the penis insofar as the woman has it, that is, insofar as she does not have it. This oscillation (presence/absence in the same gesture) is the structural key: the fetish is not the object itself but the veil that both covers and points toward the absence, fixing the historical chain at the moment just before the traumatic discovery of the mother's lack. The concept of the screen-memory (Deckerinnerung) is central here: the fetish operates exactly like a screen-memory — it is a stopping point in the signifying chain, a metonymical marker that indicates the continuation of history beyond itself (the repressed sequence) precisely by halting.

The veil structure provides the general schema: subject / veil (imaginary projection) / object / beyond-zone (the symbolic beyond where the real lack resides). Desire is constituted in the relation between the veil and what lies behind it; the fetish is the image that forms on the veil, fixing desire at this intermediate plane. Lacan also notes the structural complement of the fetish: transvestism, where the subject identifies not with the position in front of the veil but with the position behind it — with the phallic mother. The chapter then analyzes reactional exhibitionism as a further variant: the subject, unable to sustain the symbolic beyond, forces it to appear on the imaginary plane through acting-out. Throughout, the priority of the symbolic structure over any content-based or developmental explanation is maintained: it is not the specific object chosen by the fetishist that matters analytically, but the structural position it occupies in the veil schema.

Key concepts: Fetish, Veil, Screen-memory, Metonymy, Transvestism, Desire as organized around lack Notable examples: Freud, 'Fetishism' (1927); Freud, Three Essays on the Theory of Sexuality; Reactional exhibitionism case

Identification with the Phallus (Chapter X) (p.160-178)

This chapter extends the structural analysis of fetishism to the problem of identification, taking Freud's chapter on identification in Mass Psychology and the Analysis of the Ego as its point of departure. Lacan exposes the fundamental ambiguity Freud himself acknowledged between identification and object-choice: these two operations appear to be mutually substitutable, yet their confusion produces theoretical disaster (the chapter wryly notes that the distinction between 'active' and 'passive' identification, proposed by Graber, merely reproduces the same problem at a meta-level). The key structural insight is that identification with an object is not the same as having the object as a love-choice, even though each can pass into the other with alarming ease; the imaginary and symbolic registers must be kept distinct.

Lacan then introduces two temporal phases in the subject's entry into the phallic economy. The first is symbolic primordial identification — incorporation of the early superego, modeled on the oral object but functioning as a substitute for the failing gift rather than as the gift itself. The second is narcissistic specular identification, which is only possible after the mirror stage (no earlier than six months) and which provides the matrix for the subject's discovery of his own lack in relation to the totality of the imaged other. It is on the basis of this second identification that the child can discover the mother's lack — the phallus as what lies beyond the love object — and be drawn into the pre-Oedipal luring game (presenting himself as the imaginary substitute for what the mother lacks). The girl-phallus equation (girl = imaginary phallus for the mother) is analyzed as a variant of this structure, and the role of garments and the scopic drive in transvestism is elaborated to show that the structural function of the veil operates in the register of what is displayed and offered to view, not in the register of what is anatomically present or absent.

Key concepts: Identification, Narcissism, Mirror stage, Phallus as imaginary signifier, Superego, Symbolic primordial identification Notable examples: Freud, Mass Psychology and the Analysis of the Ego; Girl = phallus equation; Apollinaire, Les Mamelles de Tirésias

The Phallus and the Unfulfilled Mother (Chapter XI) (p.174-191)

This chapter provides the most sustained theoretical treatment of frustration, developing its distinction from both privation and castration through a sequential analysis of the oral dialectic, the fort–da structure, and the entry of the phallus into the subject's economy. Lacan argues against the reductionist reading of frustration as simply the refusal of a satisfaction: frustration only arises in the domain of demand, where what is at stake is not the object of need but the love signified by the gift. It is precisely because the gift, if freely given, makes the object vanish as an object (becomes the sign of love) that frustration — the withholding of the gift — has such structural consequences: it crystallizes the object in the domain of narcissistic revendication.

The chapter then addresses a key objection (Charles Blondel's question about bottle-fed infants) to demonstrate that the eroticization of the oral zone is not dependent on the specific real object (mother's breast) but on the zone's insertion into the symbolic order of demand. Anorexia nervosa is analyzed as the structural limit case: the child 'eats nothing,' which is not a simple negation of eating but a symbolic act — 'nothing' is a symbolic entity that gives the child power over the mother's almightiness. The transition to the phallus is then formalized: the phallus enters the imaginary economy not as the penis (a compensatory oral object) but as what lies beyond the love object and which the love object lacks. The discovery of this lack requires two prior phases — symbolic primordial identification and narcissistic specular identification — before the child can position himself as the imaginary substitute for the mother's missing phallus, entering the luring game that is the pre-Oedipal ground of all subsequent perverse and neurotic formations.

Key concepts: Frustration, Demand, Anorexia nervosa, Symbolic order, Phallus as signifier of the mother's lack, Objet petit a Notable examples: Fort-da game; Anorexia nervosa; Charles Blondel on bottle-feeding

On the Oedipus Complex (Chapter XII) (p.193-225)

The chapter introduces Little Hans directly and situates the Oedipus complex within the structural schema built up across the first half of the seminar. Lacan re-reads the famous Wiwimacher sequence — Hans's questions about his own, his mother's, and the lion's widdler — as an 'effort of equalization' (Vergleichung) between the absolute object (the imaginary phallus) and the real organ. This is not the game of all-or-nothing (find-the-Lady) but a genuine inquiry into where the phallus truly is — an inquiry that will be structurally blocked by the mother's denial and by the stirring of Hans's own real penis (the onset of masturbation and the experience of something like orgasm).

The chapter also formally introduces the symbolic father as the structurally unthinkable term: no real individual can fully incarnate the paternal function; it is always an article of faith, a presupposition necessary for the Oedipal dialectic to proceed. Lacan reads Freud's Totem and Taboo as a modern myth — a construction designed to explain the gaping hole in Freud's doctrine ('Where is the father?') — and argues that the only consistent conclusion of the myth is that the true father is the dead father, eternally maintained precisely because he was killed. The real father, by contrast, provides momentary embodiment for the symbolic function; it is his intervention that allows the child to exit the imaginary circuit of mother–child–phallus and enter the symbolic order of the Law. The chapter ends by identifying the central clinical problem: what happens when, as in Hans's case, the real father is 'too kind' to embody the castrating threat, so that the Oedipus complex must be navigated with an inadequate symbolic support?

Key concepts: Oedipus Complex, Name-of-the-Father, Symbolic father, Real father, Castration, Anxiety Notable examples: Freud, Analysis of a Phobia in a Five-Year-Old Boy (Little Hans); Freud, Totem and Taboo

On the Castration Complex (Chapter XIII) (p.209-225)

Lacan develops the theory of castration against the background of Jones's failed concept of aphanisis. Jones's attempt to reduce castration to a fear of the total loss of sexual pleasure (aphanisis) is a psychologization that misses the structural point: it treats castration as a quantitative detriment when it is in fact a symbolic operation, an inscription of lack into the imaginary economy. Lacan's counter-thesis is that castration operates on an imaginary object (the phallus) by a symbolic agent (the father as function), producing a real consequence (the subject's entry into the symbolic chain of exchange). The three agencies — imaginary father, real father, and symbolic father — are carefully distinguished: the imaginary father is the terrifying, omnipotent father of fantasy, the figure behind most neurotic suffering; the real father is the contingent individual who embodies the function to a greater or lesser degree; the symbolic father is the Name-of-the-Father as a structural position in the signifying chain, never directly incarnated.

The Little Hans material allows Lacan to demonstrate how anxiety emerges when the child's imaginary phallic game with the mother is disrupted by the real penis's stirring (turgescence, proto-orgasm). This real element — inassimilable to the hitherto imaginary economy — is what precipitates the anxiety, which then requires symbolic mediation. The phobia is the child's solution: the horse signifier crystallizes the diffuse anxiety into a bounded fear, providing a 'Schutzbau' (protective outpost) that introduces structural limits (interior/exterior, safe/dangerous) into a previously undifferentiated field. Lacan shows that this function is homologous to the castration complex at the structural level: both introduce a mark of limit into the imaginary that opens onto the symbolic.

Key concepts: Castration, Aphanisis, Imaginary father, Real father, Symbolic father, Anxiety Notable examples: Jones, 'aphanisis'; Freud, Analysis of a Phobia in a Five-Year-Old Boy (Little Hans)

The Signifier in the Real (Chapter XIV) (p.226-242)

Before resuming the Little Hans analysis, Lacan devotes a chapter to clarifying the Seminar on 'The Purloined Letter' and specifically his argument that the signifier introduces law into the real independently of any content. Through the combinatory schema of plusses and minuses, grouped into triads and then into a four-letter alphabet (α, β, γ, δ), Lacan demonstrates that once a signifying distinction is introduced into any sequence, an internal law (orthography) emerges that allows for the checking of any element in the chain by reference to its neighbors. This is not a claim about the absence of chance but about the emergence of structural necessity: even from a randomly generated sequence, the signifier imposes irreversible lawfulness. The model is contrasted with both vitalist and purely probabilistic accounts of memory, arguing that what Freud calls the unconscious is precisely this orthographic dimension — the memory of the signifier's law, which persists independently of any organic substrate.

The chapter then returns to the Hans case with an analysis of the spatial topology of Hans's world (Vienna's Innere Stadt, the Hauptzollamt, the Nordbahnhof, the route to Lainz) as a phobically structured field. Lacan argues that agoraphobia in general — and Hans's phobia in particular — introduces a structure of interior and exterior, of thresholds and barriers, into a field that was previously undifferentiated. The phobia is not a symptom in the conventional sense but a signifying structure: the horse introduces limits into Hans's libidinal world that function analogously to the thresholds and sacred limits that ethnography identifies in 'primitive' spatial organization. The chapter also introduces the key distinction between metaphor (substitution under a new signifier) and metonymy (sliding along the chain) as the two modes of signifying organization relevant to the cases under analysis.

Key concepts: Signifier, Orthography, Memory, Phobia as spatial structure, Metaphor, Metonymy Notable examples: Seminar on 'The Purloined Letter'; Agoraphobia; Vienna topography of Hans's phobia

What Myth is For (Chapter XV) (p.243-279)

This chapter introduces Lévi-Strauss's structural method for myth analysis as the methodological key for reading Little Hans's fantasmatic productions. Lacan argues that what Hans produces is not simply a series of symptoms or symbolic expressions of instinctual conflict but a genuine mythical system — a set of signifying bundles (mythemes, in Lévi-Strauss's terminology) whose transformations are governed by structural laws rather than by the content of any individual element. The horse, the giraffe, the bathtub, the stork, the penknife — none of these can be assigned a univocal meaning; their analytic value lies in how they relate to one another and how their mutual transformations progressively reorganize the signified field. This is the 'golden rule' Lacan proposes for child analysis: never read a signifier in isolation, always trace its combinatory relations with the others in play.

The chapter also introduces the 'two giraffes' fantasy as a paradigm case: Hans's fantasy of the big giraffe (the mother, whom he sits on) and the crumpled little giraffe (which he reduces to a drawing, to a ball of paper) represents in miniature the entire transition from the imaginary to the symbolic — from the captivating image to the mobile, manipulable signifier. The fact that the little giraffe can be crumpled up is precisely what demonstrates its symbolic status: the symbol, unlike the image, can be 'squeezed' into a vector, abstracted from its three-dimensionality, carried and deployed. The chapter ends with the 'Krawall' problem: why does Hans dread the noise the horse makes? Lacan speculates that this may be related to a proto-orgasmic experience, the first confrontation with genital turgescence, which is inassimilable to the imaginary economy and must be integrated through the mythical labor of the signifier.

Key concepts: Myth, Signifying bundle, Lévi-Strauss structural method, Imaginary to symbolic transition, Fantasy, Anxiety Notable examples: Lévi-Strauss, 'The Structural Study of Myth'; Two giraffes fantasy (Little Hans); Krawall / orgasm question

How Myth is Analysed (Chapters XVI–XVII) (p.263-296)

These chapters develop the structural analysis of Hans's mythical productions in detail, working through each fantasy in sequence. Lacan begins by formalizing Freud's interventions: Freud instructs the father to tell Hans both that his desire for the mother is 'a piece of nonsense' and that the desired phallus does not exist. As an intervention from the imaginary father, this has the structural effect of introducing God (the all-powerful imaginary father who guarantees world-order) into Hans's symbolic field — which Hans himself registers by associating the Professor with someone who 'talks to the good Lord.' The chapter traces how Hans responds to each paternal intervention not with compliance but with a fresh mythical elaboration, producing the story of the naked mother in her chemise (a response to the assertion of the phallus's absence that insists on the veil's double logic: she is both naked and clothed), the fantasy of the transgression under the rope at Schönbrunn (Hans and his father together, 'taken off' by a policeman), and the series of train and cart fantasies.

The Witz chapter (XVII) uses Freud's theory of jokes — specifically the structure of naivety, its ternary social structure (first person, second person, third-person audience), and the combinatory logic of Witz — to argue that Hans's symptom is a mythical-signifying system whose diachronic development is circular: the impasse at the origin (the impossibility of leaving the mother, the impossibility of embarking with the father) is reproduced, inverted but structurally identical, at the point of arrival. The analyses emphasize that signifier-elements do not carry univocal meanings: the horse signifier 'polarizes' the field, introducing the possibility of structural transformation, not because of its symbolic content but because of its formal structural role as a hinge-point that can be loaded and unloaded as the mythical system evolves.

Key concepts: Myth analysis, Signifier priority over signified, Point de capiton, Fantasy, Witz structure, Name-of-the-Father Notable examples: Freud, Analysis of a Phobia in a Five-Year-Old Boy (Little Hans); Lévi-Strauss, 'The Structural Study of Myth'; Freud, The Interpretation of Dreams

Circuits and Permutations (Chapter XVIII) (p.297-403)

The longest section of the seminar tracks Hans's fantasmatic series from the spatial topography of Vienna through the progressive permutations of the horse signifier's structural roles. Lacan constructs a detailed chronology (from 9 April through 2 May 1908) and maps each fantasy onto the formal schema of the tripartite table, showing how Hans's mythical system traverses the logical possibilities of a set of combinatory elements. The horse, we learn, is first and foremost a 'hitching' element — designed to be attached and detached, to link and coordinate — and it is this ambivalent, amboceptor character that makes it the ideal structural support for Hans's mythical labor. The signifier is 'unloaded' progressively: once the symbolic dimension of the father is introduced (even inadequately), certain white horses no longer frighten Hans — the ones associated with 'Vatti' — because the anxiety 'around' the father (the hollow the father leaves) begins to be differentiated from the anxiety 'of' the father.

The bathtub-and-borer fantasy (11 April) is analyzed as the pivotal transformation: the biting (oral, voracious, pre-Oedipal) is converted into the unscrewing and boring, which introduces the detachability of elements — the mother is made mobile, treated as a manipulable element in the signifying set rather than as an omnipotent devouring figure. The sequence of subsequent fantasies (the big box, the stork, the whipped horse, the imaginary embarkation with the father, the little truck, the penknife in the doll) are read as successive permutations that exhaust the logical possibilities of the structural impasse, with each fantasy making a further partial advance toward the symbolic resolution. The chapter concludes by formalizing Hans's final position with the algebraic notation p(M)(M')~(α/φ)Π, in which the mother is duplicated (real mother and paternal grandmother) and Hans achieves a three-legged equilibrium that allows him to constitute an imaginary paternity — he will have fantasmatic children, imaginary creations — rather than the fully symbolic paternal function.

Key concepts: Signifying transformation, Fantasy series, Repetition, Real vs. symbolic father, Objet petit a, Paternal metaphor Notable examples: Freud, Analysis of a Phobia in a Five-Year-Old Boy (Little Hans); Bathtub and borer fantasy; Penknife in the doll; Lodi / Saffalodi

Farewell: From Hans-the-Fetish to Leonardo-in-the-Mirror (Chapter XXIV) (p.404-426)

The final chapter brings the seminar to a close with two parallel movements. The first is a retrospective characterization of Hans's resolution: he ends the observation not as a subject who has passed through a fully symbolized castration complex but as one who has identified with the maternal phallus as Ego Ideal, taking on board an imaginary paternity (he will have fantasmatic children — Lodi, his imaginary creations) and establishing himself in a narcissistically structured relation to women (who will always be, for him, the fantasy of little sister-girls). This is structurally adjacent to the fetish rather than to full phallic symbolization: Hans is 'Hans-the-fetish,' a subject who has managed his Oedipus complex by becoming the imaginary object of maternal desire rather than submitting to the symbolic castration that would allow him genuine virile identification.

The second movement introduces Leonardo da Vinci as a structural parallel. Beginning from the celebrated error in Freud's Leonardo study — the translation of 'nibbio' (kite) as 'Geier' (vulture) — Lacan argues that this mistranslation is structurally productive: what Freud genuinely isolates in the Leonardo text is not the Egyptian vulture-mother symbol but the inaugural appearance of the phallic mother as the child's imaginary relation to the phallus-as-lack, which Lacan identifies as the first appearance of the concept of narcissism in Freud's work. Leonardo's 'inversion' (his homosexuality, his sublimation) is analyzed not as an anomaly but as the structural consequence of an especially dramatic engagement along the imaginary pathways: just as Hans's resolution requires the duplication of the mother (real mother and grandmother), Leonardo's creative work requires the trinitarian structure of Anne-Virgin-Infant, which is the structural form of the subject who has located himself not under the symbolic father but under the duplicated maternal figure. The final diagram — 'Leonardo's inversion' — maps this position onto the L-Schema, completing the year's work by showing how the same structural problem (the imaginary phallus as the mother's lack, and the subject's identification with it) takes different forms in phobia, perversion, and sublimation.

Key concepts: Phallus as Ego Ideal, Imaginary paternity, Narcissism, Phallic mother, Sublimation, Leonardo da Vinci Notable examples: Freud, Leonardo da Vinci and a Memory of his Childhood; Hans's final fantasy system (Lodi); Leonardo's Burlington Cartoon (St Anne)

Main interlocutors

  • Sigmund Freud, Analysis of a Phobia in a Five-Year-Old Boy (Little Hans)
  • Sigmund Freud, Beyond the Pleasure Principle
  • Sigmund Freud, Three Essays on the Theory of Sexuality
  • Sigmund Freud, The Interpretation of Dreams
  • Sigmund Freud, 'The Psychogenesis of a Case of Homosexuality in a Woman'
  • Sigmund Freud, 'A Child is Being Beaten'
  • Sigmund Freud, Leonardo da Vinci and a Memory of his Childhood
  • Sigmund Freud, Totem and Taboo
  • Sigmund Freud, 'Fetishism' (1927)
  • Sigmund Freud, 'The Infantile Genital Organization'
  • Claude Lévi-Strauss, 'The Structural Study of Myth'
  • Claude Lévi-Strauss, Elementary Structures of Kinship
  • Melanie Klein
  • Donald Winnicott
  • Ernest Jones
  • Michael Balint
  • Pierre Marty and Michel Fain
  • Maurice Bouvet
  • Anna Freud
  • Lacan, Écrits (Seminar on 'The Purloined Letter', 'The Instance of the Letter')
  • Lacan, Seminar III
  • Meyer Schapiro

Position in the corpus

Seminar IV occupies a pivotal position in the 'return to Freud' sequence of Lacan's teaching, sitting between Seminar III (The Psychoses, 1955–56) — which established the foreclosure of the Name-of-the-Father as the specific mechanism of psychosis — and Seminar V (The Formations of the Unconscious, 1957–58) — which will develop the metaphor/metonymy distinction and the full theory of the paternal metaphor in relation to jokes and unconscious formation. Seminar IV provides the structural grammar of the object that Seminar V presupposes: the tripartite table of lack (castration/frustration/privation), the distinction between the three registers in relation to the object, and the theory of the phallus as imaginary signifier are all elaborated here with a systematic care that subsequent seminars tend to cite rather than reconstruct. Readers coming to Seminar IV after Seminar III will find it completing the picture of the paternal function by showing what happens on the neurotic/perverse side of the divide that psychosis marks from the other side; readers coming to it before Seminar V will find the conceptual foundations for the paternal metaphor formula (and for the later objet petit a) laid out in detail.\n\nWithin the broader Lacanian corpus, Seminar IV is also the natural companion piece to the Écrits essays 'The Direction of the Treatment' (1958), 'The Signification of the Phallus' (1958), and 'Guiding Remarks for a Congress on Feminine Sexuality' (1960), all of which draw heavily on its conceptual apparatus. It should be read alongside Slavoj Žižek's engagements with the phallus and fetishism in The Sublime Object of Ideology and The Plague of Fantasies, which presuppose the structural analysis of fetishism and the beating fantasy developed here. For readers interested in the structural approach to clinical cases, Seminar IV's extended engagement with Little Hans is best read alongside the original Freud case text and in conjunction with Lacan's later topological formalizations in Seminar IX and beyond, which develop the knot-theoretic implications of the subject–object–Other structure whose triadic grammar is first laid out here.

Canonical concepts deployed