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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}}

==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 [[formalize]] [[psychoanalysis]]. ===Formalization of Psychoanalysis=== Three main reasons lie behind this attempt at [[formalization]].

: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]]

: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 3. [[Formalization]] of [[psychoanalytic theory]] in an [[terms]] of [[algebraic]] [[symbols]] is a means of preventing [[knowledge|intuitive wayunderstanding]], the which [[Lacan]] regards as an [[algebraicimaginary]] [[symbolslure]] are which hinders access to be used, manipulated and read in various different ways.<ref>{{E}} pthe [[symbolic]].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]].

The ''[[List of algebraicsymbols|Click here]] [[symbol]]s used by [[Lacan]], which appear principally in the [[matheme]]s, [[schema l]] and to view the [[graph List of desire]], are listed below, together with their most common [[meaningAlgebraic Symbols]]. ''

However, it ==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.