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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==  ===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.
--==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]]
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* [[Science]]
* [[Symbol]]
{{Also}}
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.==References== For example the upper<div style="font-case letters usually refer to the [[symbolic]] [[order]], whereas the lowersize:11px" class="references-case letters usually refer to the [[imaginary]]. small">The use of the [[bar]] is also important.<references/></div>
[[Category:Psychoanalysis]]
[[Category:Jacques Lacan]]
[[Category:Science]]
[[Category:Dictionary]]
[[Category:Concepts]]
[[Category:Terms]]
{{OK}}
[[category:Jacques Lacan]]__NOTOC__
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