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{| align="left" style="margin-right:10px;line-height:2.0em;text-align:left;align:left;background-color:#fcfcfc;border:1px solid #aaa"
| [[French]]: ''[[mathème{{Bottom}}
 
The [[matheme]] is a concept introduced in the [[{{LB}}|work]] of [[Jacques Lacan]]. The "[[matheme]]" is a neologism coined by [[Jacques Lacan]] in the early 1970s. Formed by derivation from "[[mathematics]]" and by analogy with [[phoneme]] and [[Lévi-Strauss]]'s [[mytheme]],<ref>''Mytheme'' is a term coined by [[Claude Lévi-Strauss]] to denote the basic constituents of mythological systems.</ref> the term is an equivalent to "[[algebra|mathematical sign]]". It is not used in conventional [[mathematics]], but is part of [[Lacan]]'s [[algebra]].
 
==Schema L==
[[Image:Lacan-schemal.jpg|thumb|150px|right|Schema L]]
 
In 1955, [[Lacan]] introduced what could be called his first [[matheme]], the relatively simple "'''[[schema L]]'''", illustrating the [[imaginary|imaginary function]] of the [[ego]].
 
'''[[Schema L]]''' [[identification|identifies]] four points in the [[signifying chain]]:
# [[Image:Biga.gif]], the [[unconscious]] or the "[[discourse]] of the [[Other]]]", and then .
# [[Image:Smalls.gif]], the [[subject]], which in turn results from the relation between
# [[Image:Smalla.gif]], the [[ego]] and
# [[Image:Smalla'.gif]], the [[counterpart|other]].
 
==Signifier==
[[Image:SAUSSUREANALGORITHM.gif|thumb|100px|right|Saussurean algorithm|The Saussurean algorithm]]
 
Perhaps the most familiar [[matheme]] is the "[[matheme|algorithm]]" which in 1957 replaces [[Saussure]]'s simple diagram / arbor with the notion '''S/s'''. In 1957, [[Lacan]] replaces [[Saussure]]'s diagram of the [[sign]] with what is now referred to as the "'''[[Saussurean algorithm]]'''".<ref>{{E}} p. 149</ref> The [[matheme]] links the [[law]]s of the [[unconscious]] discovered by [[Freud]] to the [[law]]s of [[language]] ([[metaphor]] and [[metonymy]]).
 
This is to be understood as demonstrating that the [[signifier]] is above the [[signified]] , showing the primacy of the [[signifier]] (which is capitalized, whereas the [[signifier]] is reduced to mere lower-case italic), and that the two are separated by a [[bar]] that resists [[signification]] and forces the [[signifier]] to [[slip|slide]] endlessly.<ref>{{L}} "[[The Agency of the Letter in the Unconscious or Reason Since Freud|L'instance de la lettre dans l'inconscient ou la raison depuis Freud]]." ''[[Écrits]]''. Paris: Seuil, 1966: 493-528 ["[[The Agency of the Letter in the Unconscious or Reason Since Freud|The agency of the letter in the unconscious or reason since Freud]]." Trans. [[Alan Sheridan]] ''[[Écrits: A Selection]]''. London: Tavistock, 1977; New York: W.W. Norton & Co., 1977: 146-78].</ref>
 
==See Also==
{{See}}
* [[Algebra]]
* [[Drive]]
||
* [[Fantasy]]
* [[Graph of desire]]
||
* [[Knowledge]]
* [[Mathematics]]
||
* [[Signification]]
* [[Structure]]
||
* [[Subject]]
* [[Symbol]]
{{Also}}
 
==References==
<div style="font-size:11px" class="references-small">
<references/>
</div>
 
 
 
=====Extra=====
  =====More=====
[[Lacan]] begins to use a variety of graphs and 'schemata' at an early stage in his work.
Originally used as teaching aids, these range from teh relatively simply '[[schema L]]' illustrating the [[imaginary]] function of the [[ego]] in the 1966 pape on [[psychosis]] to the complex chart of the workings of [[desire]] (1960).
Perhaps the most familiar is the 'algorithm' which in 1957 replaces [[Saussure]]'s simple diagram of the [[sign]] <center>---------<BR>arbor</center> with the notation <center>[[Image:SAUSSUREANALGORITHM.gif|200px]]</center> This is to be understood as demonstrating that the [[signifier]] is above the [[signified]], and that the two are separated by a [[bar]] that [[resistance|resists]] [[signification]] and forces the [[signfier]] to [[slip|slide]] endlessly.<ref>{{L}} "[[The Agency of the Letter in the Unconscious or Reason Since Freud|L'instance de la lettre dans l'inconscient ou la raison depuis Freud]]." ''[[Écrits]]''. Paris: Seuil, 1966: 493-528 ["[[The Agency of the Letter in the Unconscious or Reason Since Freud|The agency of the letter in the unconscious or reason since Freud]]." Trans. [[Alan Sheridan]] ''[[Écrits: A Selection]]''. London: Tavistock, 1977; New York: W.W. Norton & Co., 1977: 146-78].</ref> -=====More=====
The graphs and schemata gradually become more complex, and are eventually replaced by an "[[algebra]]" of "little letters" or [[matheme]]s in which, for instance, "P" is the [[symbolic]] [[fahter]], and "M" the [[symbolic]] [[mother]].
The function of the [[formalization]] that results in the emergence of the [[amtheme]] is said by [[Lacan]] to be the integral transmission of his teachings on [[psychoanalysis]].<BR>{{S20}}
-
=====More=====
These [[algebra|formulae]], which were both created to designate points in the [[graph of desire]], are the [[matheme]] for the [[drive]], ('''$ <> D'''), and the [[matheme]] for [[fantasy]], ('''$ <> ''a''''').
-=====More=====
The [[structural]] parallel between the two [[matheme]]s is clear; they are both composed of two [[algebra]]ic [[symbol]]s conjoined by a rhomboid (the [[symbol]] '''<>''', which [[Lacan]] calls the ''poinçon'') and enclosed by brackets.
The rhomboid [[symbolize]]s a relation between the two [[symbol]]s, which includes the relations of "envelopment-development-conjunction-disjunction."<ref>{{E}} p.280</ref>
-=====More=====
[[Lacan]] argues that the [[matheme]]s are "not transcendent signifiers; they are the indices of an absolute signification."<ref>{{E}} p. 314</ref>
-----=====More=====
"[[matheme]]" (''[[mathème]]'')
The [[matheme]]s are part of [[Lacan]]ian [[algebra]].
--=====More=====
Although the term [[matheme]] is not introduced by [[Lacan]] until the early 1970s, the two formulae which are most often referred to as [[matheme]]s date from 1957.
The rhomboid symbolizes a relation between the two symbols, which includes the relations of "envelopment-development-conjunction-disjunction."<ref>{{E}} p.280</ref>
--=====More=====
[[Lacan]] argues that the [[matheme]]s are "not transcendent signifiers; they are the indices of an absolute signification."<ref>{{E}} p.314</ref>
=====More=====
The '''[[matheme]]''' is a concept introduced by [[France|French]] [[psychoanalyst]] [[Jacques Lacan]].
The main [[Lacan]]ian [[matheme]]s in order of their appearance are:
 
In 1955, he introduced what could be called his first [[matheme]], [[schema L]], illustrating the [[imaginary]] function of the [[ego]].
Originally used as teaching aids, these range from teh relatively simple 'schema l' illustrating the [[imaginary]] function of the [[ego]] in the 1955 paper on [[psychosis]] to the complex chart of the workings of [[desire]].
In [[Greek]], ''mathêma'' means "that which is taught."
# [[Schema L]] (1955), which identifies four points in the [[signifying chain]]: first, the unconscious, or the [[discourse]] of the [[Other]] (A), and then the [[subject]] (S), which in turn results from the relation between the [[ego]] (a) to the [[other]] (a) to the other (d).
 
# The [[formula]] of the [[signifier]] (1957), S/s, links the [[law]]s of the [[unconscious]] discovered by [[Freud]] to the [[law]]s of [[language]] ([[metaphor]] and [[metonymy]]).
 
Perhaps the most familiar is the '[[algorithm]]' which in 1957 replaces [[Saussure]]'s simple diagram of the [[sign]] / arbor with the notation S/s.
This is to be understood as demonstrating that the [[signifier]] is above the [[signified]], and that the two are separated by a [[bar]] that resists [[signification]] and forces the [[signifier]] to slide endlessly.
# The "[[big graph]]" (1957) represented two different stages of the [[signifying chain]].
__NOTOC__
{{Encore}} pp. 74''n'', 110, 119
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