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[[Algebra]] ([[Fr]]. ''[[algèbre]]'') is a branch of [[mathematics]] * which reduces the solution of problems to manipulations of [[symbolic]] expressions, and* concerned with the properties and relationships of abstract entities represented in symbolic form.

''Three main reasons lie behind this attempt at [[Formalization|Click here]] to read about the [[Formalization|Formalization of Psychoanalysis]]''<BR>==List of Algebraic Symbols==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 [[meaningformalization]]. <BR><BR>{| style="width:75%;" border="1" cellpadding="5" cellspacing="0" align="center"! align="center" | ALGEBRAIC SYMBOL !! align="center" | COMMON MEANING|-| align="center" | '''A'''| align="center" | the . [[big OtherFormalization]]|-| align="center" size="x-large" | <strike>'''A'''</strike>| align="center" | the is necessary for [[barpsychoanalysis]]red to acquire [[Otherscientific]]status.|-| align="center" | <i>'''a'''</i>| align="center" | (see '':Just as [[objet petit a]]|Claude Lévi-| align="center" | <i>'''a''''</i>| align="center" | (see ''[[objet petit aStrauss]]|uses quasi-| align="center" | [[Image:BigS.gif]]| align="center" | 1. (before 1957) the mathematical formulae in an attempt to set [[subjectanthropology]]<BR>2.(from 1957 on) the a more [[signifierscientific]]<BR>3. (in the footing, [[matheme|schemaLacan]]s of [[Sade]]) attempts to do the raw same for [[subject]] of [[pleasurepsychoanalysis]]|-| align="center" | [[Image:StrikeS.gif]]| align="center" | the [[barLacan]]red [[subject]]|used quasi-| align="center" | mathematical formulae in an attempt to set [[Image:SS1.gifpsychoanalysis]]| align="center" | the on a more [[master signifierscientific]]|-| align="center" | [[Image:SS2footing.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)2.gif]]| align="center" | the [[signifierFormalization]] can provide a core of a [[lackpsychoanalytic theory]] in the which can be transmitted integrally even to those who have never experienced [[Otherpsychoanalytic treatment]].|-| align="center" | :The [[Image:S(a).gif]]| align="center" matheme| the [[significationformulae]] thus become an essential aspect of the [[Othertraining]] (the of [[messagepsychoanalysis]]/[[symptom]])|-| align="center" | '''D'''| align="center" | which take their place alongside [[Demand]]training|-| align="center" | <i>'''d'''</i>| align="center" | [[Desiretraining analysis]]|-| align="center" | <i>'''m'''</i>| align="center" | as a medium for the transmission of [[egopsychoanalytic]] (''[[moiknowledge]]'').|-| align="center" | <i>'''i'''</i>| align="center" | the [[specular image]] ([[schema R]])|-| align="center" | <i>'''i(a)'''</i>| align="center" | 1:3. the [[specular imageFormalization]] ([[graph of desire]])<BR>2. the [[ideal egopsychoanalytic theory]] ([[optical model]])|-| align="center" | '''I'''| align="center" | the [[ego-ideal]] ([[schema R]])|-| align="center" | '''I(A)'''| align="center" | the [[ego-ideal]] ([[graph in terms of desire]])|-| align="center" | '''Π'''| align="center" | the [[realalgebraic]] [[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|fieldsymbols]] is a means of preventing [[reality]] ([[schema R]])knowledge|-| align="center" | <i>'''I'''</i>| align="center" | the [[imaginaryintuitive understanding]] , which [[orderLacan]] ([[schema R]])|-| align="center" | '''P'''| align="center" | the [[symbolic]] [[father]] / [[Name-of-the-Father]]|-| align="center" | <i>'''p'''</i>| align="center" | the regards as an [[imaginary]] [[fatherlure]] |-| align="center" | '''M'''| align="center" | which hinders access to 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'')|-|}.

==Development of the Symbols==It is important to remember that :Rather than being understood in an intuitive way, the [[symbolalgebraic]]s do not always refer to the same concept throughout [[Lacansymbols]]'s work, but are to be used , manipulated and read in various different ways as his work develops. <ref>{{E}} p.313</ref>

Therefore some caution should be exercised when referring to ==List==[[Image:Lacan-algebra.jpg|thumb|right|[[List of algebraic symbols]]]]The [[algebraic]] [[symbol]]s used by [[Lacan]], which appear principally in the following list [[matheme]]s, [[schema l]] and the [[graph of desire]], are [[List of equivalencesAlgebraic Symbols|listed here]], together with their most common [[meaning]].

==Typographic Details==The typographic details and diacritics are extremely important in ''[[Lacan]]ian [[algebra]].The difference between upper- and lower-case [[symbolList of algebraic symbols|Click here]]s, to view the difference between italicised and non-italicised [[symbol]]s, the use List of the apostrophe, the minus [[sign]], and subscripts; all these details play their part in the [[algebraicAlgebraic Symbols]] system.''

For example the upper-case letters usually refer ==Development==It is important to remember that the [[symbolicsymbol]] s do not always refer to the same concept throughout [[orderLacan]]'s work, whereas the lower-case letters usually refer but are used in different ways as his work develops. Therefore some caution should be exercised when referring to the [[imaginary]]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.