[[Algebra]] ([[French]]: ''[[{{Topp}}algèbre]]'') is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions. {{Bottom}}
[[LacanAlgebra]] begins to use is a branch of [[algebraic]mathematics] [[symbol]]s in his work in 1955 (see [[schema L]]), in an attempt which reduces the solution of problems to manipulations of [[formalise]] [[psychoanalysissymbolic]]expressions.
Three main reasons lie behind this ==Formalization==In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt at to [[formalize]] [[formalisationpsychoanalysis]]:.
1. [[FormalisationThree]] is necessary for main reasons lie behind this attempt at [[psychoanalysisformalization]] to acquire [[scientific]] status.
Just as :1. [[Claude Lévi-StraussFormalization]] uses quasi-mathematical formulae in an attempt to set is necessary for [[anthropologypsychoanalysis]] on a more to acquire [[scientific]] footing, [[Lacan]] attempts to do the same for [[psychoanalysis]]status.
2. :Just as [[FormalisationClaude Lévi-Strauss]] can provide uses quasi-[[mathematical]] [[formulae]] in an attempt to set [[anthropology]] on a core of more [[psychoanalytic theoryscientific]] which can be transmitted integrally even to those who have never experienced footing, [[psychoanalyticLacan]] attempts to do the same for [[treatmentpsychoanalysis]].
The :[[formulaeLacan]] thus become used quasi-mathematical formulae in an essential aspect of the [[training]] of [[psychoanalysts]] which take their place alongside the attempt to set [[trainingpsychoanalysis]] [[analysis]] as on a medium for the transmission of [[psychoanalytic]] more [[knowledgescientific]]footing.
3:2. [[FormalisationFormalization]] can provide a core of [[psychoanalytic theory]] in terms of [[algebraic]] symbols is a means of preventing intuitive understanding, which [[Lacan]] regards as an [[imaginary]] [[lure]] which hinders access can be transmitted integrally even to the those who have never experienced [[symbolicpsychoanalytic treatment]].
Rather than being understood in :The [[matheme|formulae]] thus become an intuitive way, essential aspect of the [[training]] of [[psychoanalysis]] which take their [[place]] alongside [[training|training analysis]] as a medium for the transmission of [[algebraicpsychoanalytic]] [[symbolknowledge]]s are to be used, manipulated and read in various different ways.<ref>{{E}} p.313</ref>
:3. [[Formalization]] of [[psychoanalytic theory]] in [[terms]] of [[algebraic]] [[symbols]] is a means of preventing [[knowledge|intuitive understanding]], which [[Lacan]] regards as an [[imaginary]] [[lure]] which hinders access to the [[symbolic]].
Most English translations of :Rather than [[Lacanbeing]] also translate [[understood]] in an intuitive way, the [[algebraic]] [[symbolsymbols]]s which appear are to be used, manipulated and read in his workvarious different ways.<ref>{{E}} p. 313</ref>
For example, ==List==[[Image:Lacan-algebra.jpg|thumb|right|[[List of algebraic symbols]]]]The [[algebraic]] [[symbol]]s used by [[Alan SheridanLacan]], which appear principally in his translation of the [[Ecritsmatheme]]s, renders [[schema l]] and the [[symbolgraph of desire]] A (for , are [[AutreList of Algebraic Symbols|listed here]]) as O (for , together with their most common [[Othermeaning]]).
However, ''[[LacanList of algebraic symbols|Click here]] was opposed to such a view the [[practiceList of Algebraic Symbols]], as [[Sheridan]] himself points out.<ref>Sheridan, 1977: xi</ref>''
In this dictionary, in line with ==Development==It is important to [[remember]] that the [[Lacansymbol]]'s own preference, do not always refer to the same [[algebraicconcept]] throughout [[symbolLacan]]'s [[work]], but are left used in different ways as they are in his work develops. Therefore some caution should be exercised when referring to the original [[Frenchlist]] of [[equivalences]] textsabove.
==Details==
The typographic details and diacritics are extremely important in [[Lacan]]ian [[algebra]].
The [[difference]] between upper- and lower-[[case]] [[symbol]]s, the difference between italicised and non-italicised [[symbol]]s, the use of the apostrophe, the minus [[sign]], and subscripts; all these details play their part in the [[algebraic]] [[system]]. For example the upper-case letters usually refer to the [[symbolic]] [[order]], whereas the lower-case letters usually refer to the [[imaginary]]. The use of the [[bar]] is also important.
The [[algebraic]] [[symbol]]s used by [[Lacan]], which appear principally in the [[matheme]]s, [[schema l]] and the [[graph of desire]], are listed below, together with their most common [[meaning]]. ==See Also=={{See}}However, it is important to remember that the [[symbol]]s do not always refer to the same concept throughout * [[LacanBar]]'s work, but are used in different ways as his work develops. The most important example of such a shift in meaning is the use of the * [[symbolFormalization]] a, which is used in radically different ways in the 1950s and in the 1960s. ||However, even other [[symbol]]s which are relatively stable in [[meaning]] are occasionally used in very different ways; for example, s nearly always designates the signified, but is used in one algorithm to denote the * [[subject supposed to knowMathematics]].<ref>Lacan, 1967</ref> Therefore some caution should be exercised when referring to the following list of equivalences. A = the big Other A = the barred Other a = (see objet petit a) a' = (see objet petit a) S = 1. (before 1957) the subject 2. (from 1957 on) the signifier 3. (in the schemas of Sade) the raw subject of pleasure S = the barred subject S1 = the master signifier S2 = the signifying chain/knowledge s = the signified (in the Saussurean algorithm) S(A) = the signifier of a lack in the Others (A) = the signification of the Other (the messagelsymptom) D = demand d = desire m = the ego (moi) i = the specular image (schema R) i(a) = 1. the specular image (graph of desire) 2. the ideal ego (optical model) I = the ego-ideal (schema R) I(A) = the ego-ideal (graph of desire) H = the real phallus <fi = the symbolic phallus * [upper-case phi] 9 = the imaginary phallus [lower-case phiMatheme] (-9) = castration [minus phi]||S = the symbolic order (schema R) R = the field of reality (schema R) I = the imaginary order (schema R) P = the symbolic father/Name-of-the-Father p = the imaginary father M = the symbolic mother J = jouissance Je = phallic jouissance JA = the jouissance of the other E = the statement e = the enunciation V = the will to enjoy (volontÈ de jouissance) The typographical details and diacritics are extremely important in Lacanian algebra. The difference between upper- and lower-case * [[symbolScience]]s, the difference between italicised and non-italicised [[symbol]]s, the use of the apostrophe, the minus [[sign]], and subscripts; all these details play their part in the [[algebraic]] system. For example the upper-case letters usually refer to the * [[symbolicSymbol]] [[order]], whereas the lower-case letters usually refer to the [[imaginary]]. The use of the [[bar]] is also important, and varies even within the same formula.{{Also}}
==References==
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==See Also==
[[Category:Terms]]
[[Category:Concepts]]
[[Category:Science]]
[[Category:Psychoanalysis]]
[[Category:Jacques Lacan]]
[[Category:Science]]
[[Category:Dictionary]]
[[Category:Concepts]]
[[Category:Terms]]
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