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Algebra

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==Mathematics==
[[Algebra]] is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions.
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]] 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 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]].
''[[List of algebraic symbols|Click here]] to view the [[List of Algebraic Symbols]]''
==Development of the Symbols==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.
Therefore some caution should be exercised when referring to the list of equivalences above. ==Typographic 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==
==References==
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[[Category:Psychoanalysis]]
[[Category:Jacques Lacan]]
[[Category:Science]]
[[Category:Dictionary]]
[[Category:Concepts]]
[[Category:Science]]
[[Category:Terms]]
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