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Algebra
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[[Algebra]] is a branch of [[mathematics]] which reduces the solution of problems to manipulations of [[symbolic]] expressions.
==Jacques LacanFormalization== ===Formalization of Psychoanalysis===In 1955, [[Lacan]] begins to use [[algebraic]] [[symbol]]s -- in an attempt to [[formalize]] [[psychoanalysis]].
Three main reasons lie behind this attempt at [[formalization]].
: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 belowhere]], together with their most common [[meaning]]. However, 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. Even other [[symbol]]s which are relatively stable in [[meaning]] are occasionally used in very different ways. Therefore some caution should be exercised when referring to the following list of equivalences.
''[[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.
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]]
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* [[Science]]
* [[Symbol]]
{{Also}}
[[Category:Psychoanalysis]]
[[Category:Jacques Lacan]]
[[Category:Science]]
[[Category:Dictionary]]
[[Category:Concepts]]
[[Category:Terms]]
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