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Algebra

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[[Image:Lacan-algebra.jpg|thumb|right|[[List of algebraic symbols]]]]{{Topp}}algèbre{{Bottom}}
[[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.
==Formalization==
In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]].
''[[Three]] main reasons lie behind this attempt at [[formalization]]. :1. [[Formalization|Click here]] is necessary for [[psychoanalysis]] to acquire [[scientific]] status. :Just as [[Claude Lévi-Strauss]] uses quasi-[[mathematical]] [[formulae]] in an attempt to set [[anthropology]] on a more [[scientific]] footing, [[Lacan]] attempts to read about do the same for [[Formalization|Formalization of Psychoanalysispsychoanalysis]]''
<BR>==List of Algebraic Symbols==The :[[algebraicLacan]] [[symbol]]s used by [[Lacan]], which appear principally quasi-mathematical formulae in the [[matheme]]s, [[schema l]] and the an attempt to set [[graph of desirepsychoanalysis]], are listed below, together with their most common on a more [[meaningscientific]]footing.
{| 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" | ''a''| align="center" | (see ''[[objet petit a]]|-| align="center" | ''a'''| 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 chainFormalization]]/[[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 can provide a [[lack]] in the [[Other]]|-| align="center" | [[Image:S(a).gif]]| align="center" | the [[signification]] core of the [[Otherpsychoanalytic theory]] (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]] (which can be transmitted integrally even to those who have never experienced [[schema Rpsychoanalytic treatment]])|-| 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'')|-|}
==Development :The [[matheme|formulae]] thus become an essential aspect of the Symbols==It is important to remember that [[training]] of [[psychoanalysis]] which take their [[place]] alongside [[training|training analysis]] as a medium for the transmission of [[symbolpsychoanalytic]]s do not always refer to the same concept throughout [[Lacanknowledge]]'s work, but are used in different ways as his work develops.
Therefore some caution should be exercised when referring :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 following list of equivalences[[symbolic]].
: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> ==Typographic DetailsList==The typographic details and diacritics are extremely important in [[Image:Lacan-algebra.jpg|thumb|right|[[List of algebraic symbols]]ian ]]The [[algebraalgebraic]].The difference between upper- and lower-case [[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 subscripts; all these details play together with their part in most common [[meaning]]. ''[[List of algebraic symbols|Click here]] to view the [[algebraicList of Algebraic Symbols]] system.''
For example ==Development==It is important to [[remember]] that the upper-case letters usually [[symbol]]s do not always refer to the same [[symbolicconcept]] 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 [[imaginarylist]] 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.
==See Also==
{{See}}
* [[Bar]]
* [[Formalization]]
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* [[Mathematics]]
* [[Matheme]]
* [[Formalization]]||
* [[Science]]
* [[Symbol]]
{{Also}}
==References==
<div style="font-size:11px" class="references-small">
<references/>
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==See Also==
[[Category:Psychoanalysis]]
[[Category:Jacques Lacan]]
[[Category:Science]]
[[Category:Dictionary]]
[[Category:Concepts]]
[[Category:Science]]
[[Category:Terms]]
{{OK}}
 
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