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==Mathematics==
[[Algebra]] is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions.
==Jacques Lacan==
In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]].
''[[Formalization|Click here]] to read about the [[Formalization|Formalization of Psychoanalysis]]''
==List of Algebraic Symbols==
[[Image:Lacan-algebra.jpg|thumb|right|[[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 [[List of Algebraic Symbols|listed here]], together with their most common [[meaning]].
''[[Algebra]] is a branch List 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. In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]]. ''[[Formalizationsymbols|Click here]] to read about view 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 [[meaning]]. <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 Other]]|-| align="center" size="x-large" | <strike>'''A'''</strike>| align="center" | the [[bar]]red [[Other]]|-| align="center" | <i>'''a'''</i>| align="center" | (see ''[[objet petit a]]|-| align="center" | <i>'''a''''</i>| align="center" | (see ''[[objet petit a]]|-| 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 [[Sade]]) the raw [[subject]] of [[pleasure]]|-| align="center" | [[Image:StrikeS.gif]]| 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'')|-|}<BR><BR>
==Development of the Symbols==
==See Also==
{{See}}
* [[Bar]]
* [[Formalization]]
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* [[Mathematics]]
* [[Matheme]]
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* [[Science]]
* [[Symbol]]
{{Also}}
