Discourse Algebra

This page is a sub-page of our page on Algebra.

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The sub-pages of this page are:

Stories
Traps
The Universal Discourse
Cohomology
• Abductive PseudoInverse

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Related KMR-pages:

The Human Category
• Expandable Stories
Social Algebra
Business Algebra
Geometric Algebra
Clifford Algebra
Combinatorial Clifford Algebra

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Template for supra-, inter-, and intra-acts:

Template for supra-, inter-, and intra-acts

Possible- and Realized conversation threads 1:

Possible- and Realized conversation threads 1

Possible- and Realized conversation threads 2:

Possible- and Realized conversation threads 2

Negotiating agreement through coherence:

Negotiating agreement through coherence

Combining Hom-o-sapiens 1:

Combining Hom-o-sapiens 1

Combining Hom-o-sapiens 2:

Combining Hom-o-sapiens 2

Agents A and B contribute to X –> Y –> Z:

Agents A and B contribute to X --> Y --> Z

… as part of a Conversational Cascade:

… as part of a Conversational Cascade

A Conversational Complex:

A Conversational Complex

Homology of an Odd-Party Conversational Complex:

Homology of a  Conversational Complex

Template for Recursive Conversations
:

Template for Recursive Conversations

Conversational choices made Now:

Conversational choices made Now

Combination of arrows in HumConV:

Combination of arrows in HumConV

SECI-based conversation between two agents:

SECI-based conversation between two agents

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ABC AB BC AC A B C

\, \{ ABC \, , \, AB \, , \, BC \, , \, AC \, , \, A \, , \, B \, , \, C \, , \, \emptyset \, \} \, .

Preorder:

\, ABC \, \leq \, AB \, \leq \, A \,


\, ABC \, \leq \, AB \, \leq \, B \,


\, ABC \, \leq \, BC \, \leq \, B \,


\, ABC \, \leq \, BC \, \leq \, C \,


\, ABC \, \leq \, AC \, \leq \, A \,


\, ABC \, \leq \, AC \, \leq \, C \,

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Hasse diagram
Hasse Diagrams of integer Divisors (at demonstrations.wolfram.com)

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Representation: \, [ \, p_{resentant} \, ]_{B_{ackground}} \, \mapsto \, \left< \, r_{epresentant} \, \right>_{B_{ackground}}

Reconstruction: \, \left( \, \left< \, r_{epresentant} \, \right>_{B_{ackground}} \, \right)_{B_{ackground}} \mapsto \,\, p_{resentant}

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\, [ \, s_{ubject} \, ]_{ABC} \, \leq \, [ \, s_{ubject} \, ]_{AB} \, \leq \, [ \, s_{ubject} \, ]_{A} \,


\, [ \, s_{ubject} \, ]_{ABC} \, \leq \, [ \, s_{ubject} \, ]_{AB} \, \leq \, [ \, s_{ubject} \, ]_{B} \,


\, [ \, s_{ubject} \, ]_{ABC} \, \leq \, [ \, s_{ubject} \, ]_{BC} \, \leq \, [ \, s_{ubject} \, ]_{B} \,


\, [ \, s_{ubject} \, ]_{ABC} \, \leq \, [ \, s_{ubject} \, ]_{BC} \, \leq \, [ \, s_{ubject} \, ]_{C} \,


\, [ \, s_{ubject} \, ]_{ABC} \, \leq \, [ \, s_{ubject} \, ]_{AC} \, \leq \, [ \, s_{ubject} \, ]_{A} \,


\, [ \, s_{ubject} \, ]_{ABC} \, \leq \, [ \, s_{ubject} \, ]_{AC} \, \leq \, [ \, s_{ubject} \, ]_{C} \,

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\, [ \, s_{ubject} \, ]_{[ \, ABC \, ]_{{c_{ontext}}_{1}} } \, \leq \, [ \, s_{ubject} \, ]_{[ \, AB \, ]_{{c_{ontext}}_{2}} } \, \leq \, [ \, s_{ubject} \, ]_{[ \, A \, ]_{{c_{ontext}}_{3}} } \,


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Interpretation of semantic events:

Interpretation of semantic events

Template for Recursive Conversations:

Template for Recursive Conversations

Conversational choices made Now:

Conversational choices made Now

Combination of arrows in HumConV:

Combination of arrows in HumConV

SECI-based conversation between two agents:

SECI-based conversation between two agents

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