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The Logic of Discourse

Updated: Apr 24







Table of Contents

  1. Abstract  1

  2. Overview   1

    1. Linguistic communication​ 1

    2. Discourse. 2

    3. Discourse analysis 3

    4. Terminological conventions 3

    5. The article structure. 3

  3. Introduction  4

    1. Logical frameworks 4

      1. General overview.. 4

      2. Symbolic logic - Historic overview.. 4

      3. Alternative logical systems. 5

      4. Types of discourse. 6

    2. “Language organ”. 7

    3. System 1 and System 2. 9

      1. Overview.. 9

      2. Relationship and Division of Labor. 10

  4. Deductive and ordinary discourse logic  10

    1. Defining. 11

      1. The Structure of Definitions. 11

      2. Assigning meaning in natural language. 12

      3. Category mismatches in definitions. 12

    2. Conjunction fallacy. 13

    3. Ambiguity of words denoting relations 14

    4. Logic of quantifiers. 15

    5. Logical paradoxes. 16

    6. Denoting not existing entity. 18

    7. Folktale logic 19

    8. Relativity of truth value in discourse. 20

  5. Conclusions  20

  6. Summary  22

  7. Appendix – Discourse analysis automation outline  22

  8. Acknowledgements 23

  9. Terms  23

  10. References  24



References

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History of Revisions

Name

Date

Reason for Changes

Ver

Aram Hayrapetyan

12/06/25

First draft.

0.1

Aram Hayrapetyan

03/22/26

Split Overview section into subsections and added Linguistic communication subsection. Added Logical frameworks subsection to the Introduction, where introduced the notions of deductive and ordinary discourse and the Appendix – Discourse analysis automation outline. Moved the majority of Summary content in the new Conclusions section. Insignificant additions and minor edits in the rest of the text.

0.2

Aram Hayrapetyan

04/24/26

 Added Terminological conventions subsection to the Introduction; reshuffled Introduction; added clarifications, terms; removed duplicates. Fixed typos and formatting. Published.

 1.0


Additional references

Copular verbs

The Verb to Have

Paraconsistent, Dialetheic logic

Vagueness in Quantity

Liar Paradox



    


 
 
 

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