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Algebra

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[[Image:Image:Lacan-algebra.jpg|100px|right]]{{Topp}}algèbre{{Bottom}}
[[Algebra]] ([[French]]: ''[[algèbre]]'') is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions.  [[Formalisation]] can provide a core of [[psychoanalytic theory]]. The [[formulae]] thus become a medium for the transmission of [[psychoanalytic]] [[knowledge]].
==Formalization==
In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]].
[[Jacques LacanThree]] begins to use [[algebraic]] [[symbol]]s in 1955 (in an main reasons lie behind this attempt to [[formalise]] at [[psychoanalysisformalization]]).
:1. [[Jacques LacanFormalization]] attempted to is necessary for [[formalize]] [[psychoanalytic theory]] in terms of [[algebraicpsychoanalysis]] to acquire [[symbolsscientific]]status.
:Just as [[LacanClaude Lévi-Strauss]] used uses quasi-[[mathematical ]] [[formulae ]] in an attempt to set [[psychoanalysisanthropology]] on a more [[scientific]] footing., [[Lacan]] attempts to do the same for [[psychoanalysis]]
:[[FormalisationLacan]] is necessary for used quasi-mathematical formulae in an attempt to set [[psychoanalysis]] to acquire on a more [[scientific]] statusfooting.
The :2. [[algebraicFormalization]] can provide a core of [[symbolpsychoanalytic theory]]s are which can be transmitted integrally even to be used, manipulated and read in various different ways.<ref>{{E}} pthose who have never experienced [[psychoanalytic treatment]].313</ref>
:The [[matheme|formulae]] thus become an essential aspect of the [[training]] of [[psychoanalysis]] which take their [[place]] alongside [[training|training analysis]] as a medium for the transmission of [[psychoanalytic]] [[knowledge]].
: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]].
==Details==:Rather than [[being]] [[understood]] in an intuitive way, the [[algebraic]] [[symbols]] are 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 difference between upper- and lower-case [[algebraic]] [[symbol]]sused by [[Lacan]], which appear principally in the difference between italicised and non-italicised [[symbolmatheme]]s, [[schema l]] and the use [[graph of the apostrophedesire]], the minus are [[signList of Algebraic Symbols|listed here]], and subscriptstogether with their most common [[meaning]].
For example the upper-case letters usually refer to the [[symbolic]] ''[[orderList of algebraic symbols|Click here]], whereas the lower-case letters usually refer to view the [[imaginaryList of Algebraic Symbols]]. ''
The use ==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 the [[barequivalences]] is also importantabove.
==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.
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%;" 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|schema]]s of * [[SadeScience]]) 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" | '''Jφ'''| align="center" | [[phallic]] ''[[jouissance]]''|-| align="center" | '''JA'''| align="center" | the ''[[jouissance]]'' of the [[Other]]|-| align="center" | '''E'''| align="center" | the [[statement]]|-| align="center" | '''e'''| align="center" | the [[enunciation]]|-| align="center" | '''V'''| align="center" | the will-to-enjoy (''volonté de jouissance'')|-|{{Also}}
==References==
<div style="font-size:11px" class="references-small">
<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]]
{{OK}}
 
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