Matheme
Encyclopedia
The matheme is a concept introduced in the work of the 20th century French
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

 psychoanalyst Jacques Lacan
Jacques Lacan
Jacques Marie Émile Lacan was a French psychoanalyst and psychiatrist who made prominent contributions to psychoanalysis and philosophy, and has been called "the most controversial psycho-analyst since Freud". Giving yearly seminars in Paris from 1953 to 1981, Lacan influenced France's...

. The term matheme 'occurred for the first time in the lecture Lacan delivered on November 4, 1971...Between 1972 and 1973 he gave several definitions of it, passing from the use of the singular to the use of the plural and back again'.

Characteristics

'Lacan saw his "matheme" as something that would ensure the integral transmission of his teachings...proof against the "noise" or interference inherent in any process of communication'.

They are formula
Formula
In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language....

e, designed as symbol
Symbol
A symbol is something which represents an idea, a physical entity or a process but is distinct from it. The purpose of a symbol is to communicate meaning. For example, a red octagon may be a symbol for "STOP". On a map, a picture of a tent might represent a campsite. Numerals are symbols for...

ic representations
Knowledge representation
Knowledge representation is an area of artificial intelligence research aimed at representing knowledge in symbols to facilitate inferencing from those knowledge elements, creating new elements of knowledge...

 of his idea
Idea
In the most narrow sense, an idea is just whatever is before the mind when one thinks. Very often, ideas are construed as representational images; i.e. images of some object. In other contexts, ideas are taken to be concepts, although abstract concepts do not necessarily appear as images...

s and analyses. They were intended to introduce some degree of technical rigour in philosophical and psychological writing, replacing the often hard-to-understand verbal descriptions with formulae resembling those used in the hard sciences, and as an easy way to hold, remember, and rehearse some of the core ideas of both Freud
Sigmund Freud
Sigmund Freud , born Sigismund Schlomo Freud , was an Austrian neurologist who founded the discipline of psychoanalysis...

 and Lacan. For example: "$<>a" is the matheme for fantasy in the Lacanian sense, in which "$" refers to the subject as split into conscious and unconscious (hence the matheme is a barred S), "a
Objet Petit a
In the psychoanalytic theory of Jacques Lacan, objet petit a stands for the unattainable object of desire. It is sometimes called the object cause of desire...

" stands for the object-cause of desire, and "<>" stands for the relationship between the two.

"Matheme", for Lacan, was not simply the imitation of science by philosophy, but the ideal of a perfect means for the integral transmission of knowledge. Natural language, with its constant "metonymic slide", fails here, where mathematics succeeds. Contemporary philosopher Alain Badiou
Alain Badiou
Alain Badiou is a French philosopher, professor at European Graduate School, formerly chair of Philosophy at the École Normale Supérieure . Along with Giorgio Agamben and Slavoj Žižek, Badiou is a prominent figure in an anti-postmodern strand of continental philosophy...

 identifies "matheme" with the scientific procedure.

Criticism

Though sometimes disparaged as a case of "physics envy" or accused of introducing false rigor into a discipline that is more literary theory than hard science, there is also something of a sense of humor in Lacan's formulas: of one 'sigla which I have introduced in the form of an algorithm', Lacan himself has declared that 'it is created to allow for a hundred and one different readings, a multiplicity that is admissible as long as the spoken remains caught in its algebra'.

'Serge Leclaire
Serge Leclaire
Serge Leclaire was a French psychiatrist and psychoanalyst. Initially analyzed by Jacques Lacan, he 'became the first French "Lacanian".'.Subsequently he developed into 'one of the most respected and distinguished of all French analysts'.-Career:...

, who is one of the most respected and distinguished of all French analysts, remarked in 1975, for example, that whilst the mathemes might have a certain pedagogic utility, they were basically no more than "graffiti"'.

External links

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