Dumoncel (1.0) “Les modalités deleuziennes”, Section 1.0, “[introductory material]”, summary

 

by Corry Shores

 

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[The following is a paragraph by paragraph summary of Dumoncel’s text. Unless otherwise indicated, boldface, underlining, and bracketed commentary are my own. Proofreading is incomplete, so please forgive my mistakes. ]

 

 

 

 

Summary of

 

Jean-Claude Dumoncel

[Dumoncel’s academia.edu page and wikipedia page]

 

“Les modalités deleuziennes”

[link to the article]

 

Part I

La fondation leibnizienne

 

 

Section 0

[introductory material]

 

 

 

 

 

 

 

Brief summary (collecting those below):

(1.0.1) On account of his teacher Canguilhem, Deleuze was possibly familiar with Apuleius' square of logical oppositions. We will now examine Leibniz’ version. (1.0.2) Here is the the “AEIO” square of logical oppositions:

All              None

Some        Not all

 

∀x         ¬∃x

∃x         ¬∀x

(p.2)

(1.0.3) We can place the elementary logical modalities, possible and necessary, along with their variations, impossible and contingent, into their own oppositional square of modalities:

Necessary         Impossible

Possible          Contingent

 

□p         ¬◇p

◇p       ¬□p

(pp.2-3)

 

 

 

 

 

 

Contents

1.0.1

[Apuleius’ Square of Logical Oppositions]

 

1.0.2

[The Square of Logical Oppositions]

 

1.0.3

[The Modal Square of Opposition]

 

Bibliography

 

 

 

 

 

 

 

Summary

 

1.0.1

[Apuleius’ Square of Logical Oppositions]

 

[On account of his teacher Canguilhem, Deleuze was possibly familiar with Apuleius' square of logical oppositions. We will now examine Leibniz’ version.]

 

[contents]

 

 

 

 

 

 

1.0.2

[The Square of Logical Oppositions]

 

 

[Here is the the “AEIO” square of logical oppositions:

All              None

Some        Not all

 

∀x         ¬∃x

∃x         ¬∀x

(p.2)]

[contents]

 

 

 

 

 

 

1.0.3

[The Modal Square of Opposition]

 

[We can place the elementary logical modalities, possible and necessary, along with their variations, impossible and contingent, into their own oppositional square of modalities:

 

Necessary         Impossible

Possible          Contingent

 

□p         ¬◇p

◇p       ¬□p

(pp.2-3)

 

Leibniz will make two fundamental and highly influential advances on this.]

[contents]

 

 

 

 

 

 

 

 

 

Bibliography:

.

Dumoncel, Jean-Claude. “Les modalités deleuziennes.” Web. Accessed 2021.05.21.

https://www.academia.edu/23505679/LES_MODALITES_DELEUZIENNES

 

 

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