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==Two Approaches - Linguistic and MathematicalSymbolic==In his attempt to theorize the [[category ]] of the [[symbolic]], [[Lacan]] adopts two basis basic approaches. # The first approach is to describe it in [[terms ]] borrowed from [[linguistics]]], using a [[Saussure]]an-inspired [[model ]] of [[language]] as a [[system ]] of [[signifiers]].
# The second approach is to describe it in terms borrowed from [[mathematics]].
The two approaches are complementary, since both are attempts to describe [[formal]] systems with precise rules, and both demonstrate the [[power]] of the [[signifier]].
==Formalization==
[[Lacan]]'s use of [[mathematics]] represents an attempt to [[formalize]] [[psychoanalytic theory]], in keeping with his view that [[psychoanalytic theory]] should aspire to the [[formalization]] proper to [[science]].
<blockquote>"Mathematical formalization is our [[goal]], our [[ideal]]."<ref>{{S20}} p.108</ref></blockquote> [[Mathematics]] serve [[Lacan]] as a paradigm of modern [[scientific]] [[discourse]], which "emerged from the little letters of mathematics."<ref>{{S7}} p.236</ref>
==Metalanguage==
However, this use of [[mathematics]] is not an attempt to produce a [[metalanguage]], since "no metalanguage can be spoken."<ref> {{E}} p.311</ref>
<blockquote>"The root of the difficulty is that you can only introduce symols[[symbols]], mathematical or otherwise, by using everyday language, since you have, after all, to explain what you are going to do with [[them]]."<ref>{{S1}} p.2</ref></blockquote> Thus [[Lacan]]'s use of [[mathematics]] is not an attempt to escape from the ambiguity of [[language]], but, on the contrary, to produce a way of [[formalization|formalizing]] [[psychoanalysis]] which produces multiple effects of [[sense ]] without [[being ]] reducible to a univocal [[signification]]. Also, by using [[mathematics]] [[Lacan]] attempts to prevent all attempts at [[imaginary]] [[knowledge|intuitive understanding]] of [[psychoanalysis]].
==See Also==
{{See}}
* [[Algebra]]
* [[Linguistics]]
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* [[Mathemes]]
* [[Science]]
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* [[Symbolic]]
* [[Topology]]
{{Also}}
==References==
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[[Category:Science]]
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