Category Archives: Mathematics

1st Source: Workshop of clinical topology #38 Formulas of Sexuation

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#38 The formulas of sexuation

What differentiates the male and the female part? Why Lacan says that there is no sexual report/relationship? And that THE woman does not exist? We try to explain these provocative assertions. They are less so when one considers that “man” and “women” are only meaningful.
Also it teaches us that the Other is nothing else that the other sex.

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1st Source: Workshop of clinical topology #37 Logics and Aristotle

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#37 Logics and Aristotle

Aristotelian logic is redescribed especially in its relations between intension ( categories, types, …) and extension (the individuals, instances, …). Gerard Crovisier connects these logics to the clinic of the subject.

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1st Source: Workshop of clinical topology #36 Neighborhoods, Graph, Graph of desire

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#36 Neighborhoods, Graph, Graph of desire

We resume here the topological definition of neighborhood that had been poorly explained. Here as well is definition and example of the concept of finite states graph. This is the first based on the, so called by Lacan, “Graph of desire”. This presentation is based on the 5 first sessions of the seminar 1958-59 “Desire and its interpretation”.

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1st Source: Workshop of clinical topology #35 Empty torus, solid torus?

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Empty torus, solid torus?

This question seeks to analyze the non-compatible uses Lacan builds out of a torus.
A discussion took place at the end of the workshop held on 10 December. Each one's certainties revealed to be different!
What I mean by this question is that
— Sometimes the torus is solid (torus belongs to R ^ 3) i.d. real,
symbolic, and imaginary within the Borromean knot.
— Sometimes the torus is empty as on an air chamber; it is a skin
(torus belongs to R ^ 2); i.d. in l'Étourdit where Lacan cuts the skin of a torus to build a two-sided strip and a Moebius strip.

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1st Source: Workshop of clinical topology #34 Cutting up a sphere

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Cutting up a sphere

Gérard Crovisier shows cutting ups made on a sphere and their implications in clinic.

Also starting at time 1:01:23 we review some questions that emerged as a result of the workshop #33.

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1st Source: Workshop of clinical topology #33 Real with cylindrical structure

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The consequences of a cylindrical structure of real

Returning to the Lacanian presentation of schema R applied to a cross-cap he considers the real to have a Moebius strip structure. Without changing this paradigm it is possible to build it out of a cylinder. Using this structure it is often easier to explain the relation of the subject with its objects of desire; this as well in the case of “normality”, neurosis, Psychosis.

An article is available at the following address: pdf

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1st Source: Workshop of clinical topology #32 A tetravalent logic

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The logic of the subject is tetravalent

The standard logic, called Aristotle logic, uses the principle of the excluded third. I.e a proposition is either true or false. However, by a closer look as did Godel, Husserl, Lacan and many others, we see that some cases invalidate this approach by revealing a part of undecidable. The logic must integrate its share of incompleteness. There are propositions that may be true and false, or neither true nor false. These modified logic elements could remain on purely mathematical fields. The analytical listening uncovers that much of the discourse of the analysand enters into this logic of four truths values. We describe this tetravalent logic in its mathematical approach and clinical approach.

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1st Source: Workshop of clinical topology #31 Without the knowledge of my own volition

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I did it without the knowledge of my own volition

How many syllables in a signifier? How to name a missing signifier? What is the nature of the skin separating signifier and signified? And separating truth and knowledge?

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1st Source: Disputation #01: Concept or signifier

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Relationship between signifier and concept

Corpofreudiano France and Topologos joined for a session of the laboratory of the concept. Its object was the concept and the signifier. Here we present excerpts. Specifically what enters the notion of “disputation” that exists in latin and English among others. But not in french. This term proposed by Henry Fontana is opposed to discussion which in latin denotes the crash of the other. Here we are inaugurating by this term a process of dialectical progress. Thanks for returning your perception of this work.

We have written an amplification of this dialogue in pdf at http://lutetium.org/uploads/topologos/a18062803.pdf

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