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Algebra

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{{Topp}}algèbre{{Bottom}}
[[Algebra]] (is a branch of [[Frenchmathematics]]: ''which reduces the solution of problems to manipulations of [[algèbresymbolic]]'')expressions.
==Formalization==
In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]].
[[AlgebraThree]] (main reasons lie behind this attempt at [[Frenchformalization]]: ''[[algèbre]]'') is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions.
:1. [[FormalisationFormalization]] can provide a core of is necessary for [[psychoanalytic theorypsychoanalysis]]to acquire [[scientific]] status.
The :Just as [[Claude Lévi-Strauss]] uses quasi-[[mathematical]] [[formulae]] thus become in an attempt to set [[anthropology]] on a medium for the transmission of more [[scientific]] footing, [[psychoanalyticLacan]] attempts to do the same for [[knowledgepsychoanalysis]].
==Formalization==:[[Lacan]] used quasi-mathematical formulae in an attempt to set [[psychoanalysis]] on a more [[scientific]] footing.
:2. [[Jacques LacanFormalization]] begins to use can provide a core of [[algebraicpsychoanalytic theory]] [[symbol]]s in 1955 (in an attempt which can be transmitted integrally even to those who have never experienced [[formalise]] [[psychoanalysispsychoanalytic treatment]]).
:The [[Jacques Lacanmatheme|formulae]] attempted to thus become an essential aspect of the [[training]] of [[psychoanalysis]] which take their [[formalizeplace]] alongside [[psychoanalytic theorytraining|training analysis]] in terms as a medium for the transmission of [[algebraicpsychoanalytic]] [[symbolsknowledge]].
:3. [[Formalization]] of [[psychoanalytic theory]] in [[terms]] of [[algebraic]] [[symbols]] is a means of preventing [[knowledge|intuitive understanding]], which [[Lacan]] used quasi-mathematical formulae in regards as an attempt to set [[psychoanalysisimaginary]] [[lure]] on a more which hinders access to the [[scientificsymbolic]] footing.
:Rather than [[Formalisationbeing]] is necessary for [[psychoanalysisunderstood]] in an intuitive way, the [[algebraic]] to acquire [[scientificsymbols]] statusare to be used, manipulated and read in various different ways.<ref>{{E}} p. 313</ref>
==List==[[Image:Lacan-algebra.jpg|thumb|right|[[List of algebraic symbols]]]]The [[algebraic]] [[symbol]]s are to be usedby [[Lacan]], manipulated which appear principally in the [[matheme]]s, [[schema l]] and read in various different ways.<ref>{{E}} pthe [[graph of desire]], are [[List of Algebraic Symbols|listed here]], together with their most common [[meaning]].313</ref>
''[[List of algebraic symbols|Click here]] to view the [[List of Algebraic Symbols]]''
==Development==
It is important to [[remember]] that the [[symbol]]s do not always refer to the same [[concept]] throughout [[Lacan]]'s [[work]], but are used in different ways as his work develops. Therefore some caution should be exercised when referring to the [[list]] of [[equivalences]] above.
==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 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.  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.  His use of [[algebraic]] formulations is in fact unconnected to [[mathematics]] itself, but merely provides a concise way of expressing complex [[psychoanalytic]] [[concepts]].  a generalization of arithmetic in which letters representing numbers are combined a branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set. 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]].  The [[symbol]]s do not always refer to the same concept throughout [[Lacan]]'s work, but are used in different ways as his work develops.  Therefore some caution should be exercised when referring to the following list of equivalences. Even other [[symbol]]s which are relatively stable in [[meaning]] are occasionally used in very different ways. ==AlgebraSee Also== {| style="width:75%; height:200px" border="1" cellpadding="5" cellspacing="0" align="center"! align="center" | SYMBOL !! align="center" | TRANSLATION|-| align="center" | '''A'''{See}}| align="center" | the * [[big OtherBar]]|-| align="center" size="x-large" | <strike>'''A'''</strike>| align="center" | the [[bar]]red * [[OtherFormalization]]|-| align="center" | ''a''| align="center" | (see ''* [[objet petit aMathematics]]|-| align="center" | ''a'''| align="center" | (see ''* [[objet petit aMatheme]]|-| align="center" | [[Image:BigS.gif]]| align="center" | 1. (before 1957) the [[subject]]<BR>2.(from 1957 on) the [[signifier]]<BR>3. (in the * [[matheme|schemaScience]]s of [[Sade]]) the raw [[subject]] of [[pleasure]]|-| align="center" | * [[Image:StrikeS.gifSymbol]]| align="center" | the [[bar]]red [[subject]]|-| align="center" | [[Image:SS1.gif]]| align="center" | the [[master signifier]]|-| align="center" | [[Image:SS2.gif]]| align="center" | the [[signifying chain]]/[[knowledge]]|-| align="center" | <i>'''s'''</i>| align="center" | the [[signified]] (in the [[Saussure]]an [[sign|algorithm]]|-| align="center" | [[Image:StrikeS(A).gif]]| align="center" | the [[signifier]] of a [[lack]] in the [[Other]]|-| align="center" | [[Image:S(a).gif]]| align="center" | the [[signification]] of the [[Other]] (the [[message]]/[[symptom]])|-| align="center" | '''D'''| align="center" | [[Demand]]|-| align="center" | <i>'''d'''</i>| align="center" | [[Desire]]|-| align="center" | <i>'''m'''</i>| align="center" | the [[ego]] (''[[moi]]'')|-| align="center" | <i>'''i'''</i>| align="center" | the [[specular image]] ([[schema R]])|-| align="center" | <i>'''i(a)'''</i>| align="center" | 1. the [[specular image]] ([[graph of desire]])<BR>2. the [[ideal ego]] ([[optical model]])|-| align="center" | '''I'''| align="center" | the [[ego-ideal]] ([[schema R]])|-| align="center" | '''I(A)'''| align="center" | the [[ego-ideal]] ([[graph of desire]])|-| align="center" | '''Π'''| align="center" | the [[real]] [[phallus]]|-| align="center" | '''Φ'''| align="center" | the [[symbolic]] [[phallus]] [upper-case phi]|-| align="center" | '''(-φ)'''| align="center" | the [[imaginary]] [[phallus]] [lower-case phi]|-| align="center" | <i>'''S'''</i>| align="center" | the [[symbolic]] [[order]] ([[schema R]])|-| align="center" | <i>'''R'''</i>| align="center" | the [[order|field]] of [[reality]] ([[schema R]])|-| align="center" | <i>'''I'''</i>| align="center" | the [[imaginary]] [[order]] ([[schema R]])|-| align="center" | '''P'''| align="center" | the [[symbolic]] [[father]] / [[Name-of-the-Father]]|-| align="center" | <i>'''p'''</i>| align="center" | the [[imaginary]] [[father]] |-| align="center" | '''M'''| align="center" | the [[symbolic]] [[mother]] |-| align="center" | '''J'''| align="center" | ''[[Jouissance]]''|-| align="center" | <i>'''d'''</i>| align="center" | [[Desire]]|-| align="center" | <i>'''d'''</i>| align="center" | [[Desire]]|-|{{Also}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 <? = the symbolic phallus [upper-case phi] 9 = the imaginary phallus [lower-case phi] (-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)
==References==
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<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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