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Algebra

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[[Algebra]] ([[Fr]]. ''[[{{Topp}}algèbre]]'') is a branch of [[mathematics]] (or [[logic]]) concerned with the properties and relationships of abstract entities represented in symbolic form.{{Bottom}}
[[Algebra]] is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions.
==Jacques LacanFormalization==In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]].
[[Jacques Lacan]] begins to use [[algebraic]] [[symbol]Three]s in 1955 (in an attempt to [[formalise]] [[psychoanalysis]]). ===Formalization of Psychoanalysis=== Three main reasons lie behind this attempt at [[formalization]].
:1. [[Formalization]] 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 do the same for [[psychoanalysis]]
:[[Lacan]] used quasi-mathematical formulae in an attempt to set [[psychoanalysis]] on a more [[scientific]] footing.
:2. [[Formalization]] can provide a core of [[psychoanalytic theory]] which can be transmitted integrally even to those who have never experienced [[psychoanalytic treatment]].
: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]]. :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 [[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]]. ''[[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. ==See Also=={{See}}* [[Bar]]* [[Formalization]]||* [[Mathematics]]* [[Matheme]]||* [[Science]]* [[Symbol]]{{Also}} ==References==<div style="font-size:11px" class="references-small"><references/></div>
:3. [[FormalizationCategory:Psychoanalysis]] of [[psychoanalytic theoryCategory:Jacques Lacan]] in terms of [[algebraicCategory:Science]] [[symbolsCategory:Dictionary]] is a means of preventing [[knowledge|intuitive understandingCategory:Concepts]], which [[Lacan]] regards as an [[imaginary]] [[lure]] which hinders access to the [[symbolicCategory:Terms]].{{OK}}
: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>__NOTOC__
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