Difference between revisions of "Directory:Jon Awbrey/Papers/Inquiry Driven Systems"

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<div class="nonumtoc">__TOC__</div>
 
<div class="nonumtoc">__TOC__</div>
  
==1. Introduction==
+
==1. Introduction==
  
===1.1. Outline of the Project :  Inquiry Into Inquiry===
+
===1.1. Outline of the Project :  Inquiry Into Inquiry===
  
====1.1.1. Problem====
+
====1.1.1. Problem====
  
====1.1.2. Method====
+
====1.1.2. Method====
  
=====1.1.2.1. The Paradigmatic and Process-Analytic Phase=====
+
=====1.1.2.1. The Paradigmatic and Process-Analytic Phase=====
  
=====1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase=====
+
=====1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase=====
  
=====1.1.2.3. Reprise of Methods=====
+
=====1.1.2.3. Reprise of Methods=====
  
====1.1.3. Criterion====
+
====1.1.3. Criterion====
  
====1.1.4. Application====
+
====1.1.4. Application====
  
===1.2. Onus of the Project : No Way But Inquiry===
+
===1.2. Onus of the Project : No Way But Inquiry===
  
====1.2.1. A Modulating Prelude====
+
====1.2.1. A Modulating Prelude====
  
====1.2.2. A Fugitive Canon====
+
====1.2.2. A Fugitive Canon====
  
===1.3. Option of the Project : A Way Up To Inquiry===
+
===1.3. Option of the Project : A Way Up To Inquiry===
  
====1.3.1. Initial Analysis of Inquiry : Allegro Aperto====
+
====1.3.1. Initial Analysis of Inquiry : Allegro Aperto====
  
====1.3.2. Discussion of Discussion====
+
====1.3.2. Discussion of Discussion====
  
====1.3.3. Discussion of Formalization : General Topics====
+
====1.3.3. Discussion of Formalization : General Topics====
  
=====1.3.3.1. A Formal Charge=====
+
=====1.3.3.1. A Formal Charge=====
  
=====1.3.3.2. A Formalization of Formalization?=====
+
=====1.3.3.2. A Formalization of Formalization?=====
  
=====1.3.3.3. A Formalization of Discussion?=====
+
=====1.3.3.3. A Formalization of Discussion?=====
  
=====1.3.3.4. A Concept of Formalization=====
+
=====1.3.3.4. A Concept of Formalization=====
  
=====1.3.3.5. A Formal Approach=====
+
=====1.3.3.5. A Formal Approach=====
  
=====1.3.3.6. A Formal Development=====
+
=====1.3.3.6. A Formal Development=====
  
=====1.3.3.7. A Formal Persuasion=====
+
=====1.3.3.7. A Formal Persuasion=====
  
====1.3.4. Discussion of Formalization : Concrete Examples====
+
====1.3.4. Discussion of Formalization : Concrete Examples====
  
=====1.3.4.1. Formal Models : A Sketch=====
+
=====1.3.4.1. Formal Models : A Sketch=====
  
=====1.3.4.2. Sign Relations : A Primer=====
+
=====1.3.4.2. Sign Relations : A Primer=====
  
=====1.3.4.3. Semiotic Equivalence Relations=====
+
=====1.3.4.3. Semiotic Equivalence Relations=====
  
=====1.3.4.4. Graphical Representations=====
+
=====1.3.4.4. Graphical Representations=====
  
=====1.3.4.5. Taking Stock=====
+
=====1.3.4.5. Taking Stock=====
  
=====1.3.4.6. The "Meta" Question=====
+
=====1.3.4.6. The "Meta" Question=====
  
=====1.3.4.7. Iconic Signs=====
+
=====1.3.4.7. Iconic Signs=====
  
=====1.3.4.8. The Conflict of Interpretations=====
+
=====1.3.4.8. The Conflict of Interpretations=====
  
=====1.3.4.9. Indexical Signs=====
+
=====1.3.4.9. Indexical Signs=====
  
=====1.3.4.10. Sundry Problems=====
+
=====1.3.4.10. Sundry Problems=====
  
=====1.3.4.11. Review and Prospect=====
+
=====1.3.4.11. Review and Prospect=====
  
=====1.3.4.12. Objective Plans and Levels=====
+
=====1.3.4.12. Objective Plans and Levels=====
  
=====1.3.4.13. Formalization of OF : Objective Levels=====
+
=====1.3.4.13. Formalization of OF : Objective Levels=====
  
=====1.3.4.14. Application of OF : Generic Level=====
+
=====1.3.4.14. Application of OF : Generic Level=====
  
=====1.3.4.15. Application of OF : Motive Level=====
+
=====1.3.4.15. Application of OF : Motive Level=====
  
=====1.3.4.16. The Integration of Frameworks=====
+
=====1.3.4.16. The Integration of Frameworks=====
  
=====1.3.4.17. Recapitulation : A Brush with Symbols=====
+
=====1.3.4.17. Recapitulation : A Brush with Symbols=====
  
=====1.3.4.18. C'est Moi=====
+
=====1.3.4.18. C'est Moi=====
  
=====1.3.4.19. Entr'acte=====
+
=====1.3.4.19. Entr'acte=====
  
====1.3.5. Discussion of Formalization : Specific Objects====
+
====1.3.5. Discussion of Formalization : Specific Objects====
  
=====1.3.5.1. The Will to Form=====
+
=====1.3.5.1. The Will to Form=====
  
=====1.3.5.2. The Forms of Reasoning=====
+
=====1.3.5.2. The Forms of Reasoning=====
  
=====1.3.5.3. A Fork in the Road=====
+
=====1.3.5.3. A Fork in the Road=====
  
=====1.3.5.4. A Forged Bond=====
+
=====1.3.5.4. A Forged Bond=====
  
=====1.3.5.5. A Formal Account=====
+
=====1.3.5.5. A Formal Account=====
  
=====1.3.5.6. Analogs, Icons, Models, Surrogates=====
+
=====1.3.5.6. Analogs, Icons, Models, Surrogates=====
  
=====1.3.5.7. Steps and Tests of Formalization=====
+
=====1.3.5.7. Steps and Tests of Formalization=====
  
=====1.3.5.8. The Referee=====
+
=====1.3.5.8. The Referee=====
  
=====1.3.5.9. Partial Formalizations=====
+
=====1.3.5.9. Partial Formalizations=====
  
=====1.3.5.10. A Formal Utility=====
+
=====1.3.5.10. A Formal Utility=====
  
=====1.3.5.11. A Formal Aesthetic=====
+
=====1.3.5.11. A Formal Aesthetic=====
  
=====1.3.5.12. A Formal Apology=====
+
=====1.3.5.12. A Formal Apology=====
  
=====1.3.5.13. A Formal Suspicion=====
+
=====1.3.5.13. A Formal Suspicion=====
  
=====1.3.5.14. The Double Aspect of Concepts=====
+
=====1.3.5.14. The Double Aspect of Concepts=====
  
=====1.3.5.15. A Formal Permission=====
+
=====1.3.5.15. A Formal Permission=====
  
=====1.3.5.16. A Formal Invention=====
+
=====1.3.5.16. A Formal Invention=====
  
====1.3.6. Recursion in Perpetuity====
+
====1.3.6. Recursion in Perpetuity====
  
====1.3.7. Processus, Regressus, Progressus====
+
====1.3.7. Processus, Regressus, Progressus====
  
====1.3.8. Rondeau : Tempo di Menuetto====
+
====1.3.8. Rondeau : Tempo di Menuetto====
  
==2. Part 2==
+
==2. Part 2==
  
===2.1. Reconnaissance===
+
===2.1. Reconnaissance===
  
====2.1.1. The Informal Context====
+
====2.1.1. The Informal Context====
  
====2.1.2. The Epitext====
+
====2.1.2. The Epitext====
  
====2.1.3. The Formative Tension====
+
====2.1.3. The Formative Tension====
  
===2.2. Recurring Themes===
+
===2.2. Recurring Themes===
  
====2.2.1. Preliminary Notions====
+
====2.2.1. Preliminary Notions====
  
====2.2.2. Intermediary Notions====
+
====2.2.2. Intermediary Notions====
  
====2.2.3. Propositions and Sentences====
+
====2.2.3. Propositions and Sentences====
  
====2.2.4. Empirical Types and Rational Types====
+
====2.2.4. Empirical Types and Rational Types====
  
====2.2.5. Articulate Sentences====
+
====2.2.5. Articulate Sentences====
  
====2.2.6. Stretching Principles====
+
====2.2.6. Stretching Principles====
  
====2.2.7. Stretching Operations====
+
====2.2.7. Stretching Operations====
  
===2.3. The Cactus Patch===
+
===2.3. The Cactus Patch===
  
====2.3.1. The Cactus Language : Syntax====
+
====2.3.1. The Cactus Language : Syntax====
  
=====2.3.1.1. Grammar 1=====
+
=====2.3.1.1. Grammar 1=====
  
=====2.3.1.2. Grammar 2=====
+
=====2.3.1.2. Grammar 2=====
  
=====2.3.1.3. Grammar 3=====
+
=====2.3.1.3. Grammar 3=====
  
=====2.3.1.4. Grammar 4=====
+
=====2.3.1.4. Grammar 4=====
  
=====2.3.1.5. Grammar 5=====
+
=====2.3.1.5. Grammar 5=====
  
=====2.3.1.6. Grammar 6=====
+
=====2.3.1.6. Grammar 6=====
  
====2.3.2. Generalities About Formal Grammars====
+
====2.3.2. Generalities About Formal Grammars====
  
====2.3.3. The Cactus Language : Stylistics====
+
====2.3.3. The Cactus Language : Stylistics====
  
====2.3.4. The Cactus Language : Mechanics====
+
====2.3.4. The Cactus Language : Mechanics====
  
====2.3.5. The Cactus Language : Semantics====
+
====2.3.5. The Cactus Language : Semantics====
  
 
====2.3.6. Stretching Exercises====
 
====2.3.6. Stretching Exercises====
  
===2.4. Syntactic Transformations===
+
===2.4. Syntactic Transformations===
  
====2.4.1. Syntactic Transformation Rules====
+
====2.4.1. Syntactic Transformation Rules====
  
====2.4.2. Derived Equivalence Relations====
+
====2.4.2. Derived Equivalence Relations====
  
====2.4.3. Digression on Derived Relations====
+
====2.4.3. Digression on Derived Relations====
  
==3. Part 3==
+
==3. Part 3==
  
===3.1. Outlook of the Project : All Ways Lead to Inquiry===
+
===3.1. Outlook of the Project : All Ways Lead to Inquiry===
  
====3.1.1. The Matrix of Inquiry====
+
====3.1.1. The Matrix of Inquiry====
  
=====3.1.1.1. Inquiry as Conduct=====
+
=====3.1.1.1. Inquiry as Conduct=====
  
=====3.1.1.2. Types of Conduct=====
+
=====3.1.1.2. Types of Conduct=====
  
=====3.1.1.3. Perils of Inquiry=====
+
=====3.1.1.3. Perils of Inquiry=====
  
=====3.1.1.4. Forms of Relations=====
+
=====3.1.1.4. Forms of Relations=====
  
=====3.1.1.5. Models of Inquiry=====
+
=====3.1.1.5. Models of Inquiry=====
  
====3.1.2. The Moment of Inquiry====
+
====3.1.2. The Moment of Inquiry====
  
====3.1.3. The Modes of Inquiry====
+
====3.1.3. The Modes of Inquiry====
  
=====3.1.3.1. Deductive Reasoning=====
+
=====3.1.3.1. Deductive Reasoning=====
  
=====3.1.3.2. Inductive Reasoning=====
+
=====3.1.3.2. Inductive Reasoning=====
  
=====3.1.3.3. Abductive Reasoning=====
+
=====3.1.3.3. Abductive Reasoning=====
  
=====3.1.3.4. Analogical Reasoning=====
+
=====3.1.3.4. Analogical Reasoning=====
  
===3.2. Obstacles to the Project : In the Way of Inquiry===
+
===3.2. Obstacles to the Project : In the Way of Inquiry===
  
====3.2.1. The Initial Unpleasantness====
+
====3.2.1. The Initial Unpleasantness====
  
====3.2.2. The Justification Trap====
+
====3.2.2. The Justification Trap====
  
====3.2.3. A Formal Apology====
+
====3.2.3. A Formal Apology====
  
=====3.2.3.1. Category Double-Takes=====
+
=====3.2.3.1. Category Double-Takes=====
  
=====3.2.3.2. Conceptual Extensions=====
+
=====3.2.3.2. Conceptual Extensions=====
  
=====3.2.3.3. Explosional Recombinations=====
+
=====3.2.3.3. Explosional Recombinations=====
  
=====3.2.3.4. Interpretive Frameworks=====
+
=====3.2.3.4. Interpretive Frameworks=====
  
====3.2.4. A Material Exigency====
+
====3.2.4. A Material Exigency====
  
====3.2.5. A reconciliation of Accounts====
+
====3.2.5. A reconciliation of Accounts====
  
====3.2.6. Objections to Reflective Inquiry====
+
====3.2.6. Objections to Reflective Inquiry====
  
====3.2.7. Empirical Considerations====
+
====3.2.7. Empirical Considerations====
  
====3.2.8. Computational Considerations====
+
====3.2.8. Computational Considerations====
  
=====3.2.8.1. A Form of Recursion=====
+
=====3.2.8.1. A Form of Recursion=====
  
=====3.2.8.2. A Power of Abstraction=====
+
=====3.2.8.2. A Power of Abstraction=====
  
 
==Appendices==
 
==Appendices==

Revision as of 20:46, 15 September 2010



   
 

I put down the cup and turn to my mind. It is up to my mind to find the truth. But how? What grave uncertainty, whenever the mind feels overtaken by itself; when it, the seeker, is also the obscure country where it must seek and where all its baggage will be nothing to it. Seek? Not only that: create. It is face to face with something that does not yet exist and that only it can accomplish, and bring into its light.

  — Marcel Proust, In Search of Lost Time, [Pro, 1.48]
   

1. Introduction

1.1. Outline of the Project : Inquiry Into Inquiry

1.1.1. Problem

1.1.2. Method

1.1.2.1. The Paradigmatic and Process-Analytic Phase
1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase
1.1.2.3. Reprise of Methods

1.1.3. Criterion

1.1.4. Application

1.2. Onus of the Project : No Way But Inquiry

1.2.1. A Modulating Prelude

1.2.2. A Fugitive Canon

1.3. Option of the Project : A Way Up To Inquiry

1.3.1. Initial Analysis of Inquiry : Allegro Aperto

1.3.2. Discussion of Discussion

1.3.3. Discussion of Formalization : General Topics

1.3.3.1. A Formal Charge
1.3.3.2. A Formalization of Formalization?
1.3.3.3. A Formalization of Discussion?
1.3.3.4. A Concept of Formalization
1.3.3.5. A Formal Approach
1.3.3.6. A Formal Development
1.3.3.7. A Formal Persuasion

1.3.4. Discussion of Formalization : Concrete Examples

1.3.4.1. Formal Models : A Sketch
1.3.4.2. Sign Relations : A Primer
1.3.4.3. Semiotic Equivalence Relations
1.3.4.4. Graphical Representations
1.3.4.5. Taking Stock
1.3.4.6. The "Meta" Question
1.3.4.7. Iconic Signs
1.3.4.8. The Conflict of Interpretations
1.3.4.9. Indexical Signs
1.3.4.10. Sundry Problems
1.3.4.11. Review and Prospect
1.3.4.12. Objective Plans and Levels
1.3.4.13. Formalization of OF : Objective Levels
1.3.4.14. Application of OF : Generic Level
1.3.4.15. Application of OF : Motive Level
1.3.4.16. The Integration of Frameworks
1.3.4.17. Recapitulation : A Brush with Symbols
1.3.4.18. C'est Moi
1.3.4.19. Entr'acte

1.3.5. Discussion of Formalization : Specific Objects

1.3.5.1. The Will to Form
1.3.5.2. The Forms of Reasoning
1.3.5.3. A Fork in the Road
1.3.5.4. A Forged Bond
1.3.5.5. A Formal Account
1.3.5.6. Analogs, Icons, Models, Surrogates
1.3.5.7. Steps and Tests of Formalization
1.3.5.8. The Referee
1.3.5.9. Partial Formalizations
1.3.5.10. A Formal Utility
1.3.5.11. A Formal Aesthetic
1.3.5.12. A Formal Apology
1.3.5.13. A Formal Suspicion
1.3.5.14. The Double Aspect of Concepts
1.3.5.15. A Formal Permission
1.3.5.16. A Formal Invention

1.3.6. Recursion in Perpetuity

1.3.7. Processus, Regressus, Progressus

1.3.8. Rondeau : Tempo di Menuetto

2. Part 2

2.1. Reconnaissance

2.1.1. The Informal Context

2.1.2. The Epitext

2.1.3. The Formative Tension

2.2. Recurring Themes

2.2.1. Preliminary Notions

2.2.2. Intermediary Notions

2.2.3. Propositions and Sentences

2.2.4. Empirical Types and Rational Types

2.2.5. Articulate Sentences

2.2.6. Stretching Principles

2.2.7. Stretching Operations

2.3. The Cactus Patch

2.3.1. The Cactus Language : Syntax

2.3.1.1. Grammar 1
2.3.1.2. Grammar 2
2.3.1.3. Grammar 3
2.3.1.4. Grammar 4
2.3.1.5. Grammar 5
2.3.1.6. Grammar 6

2.3.2. Generalities About Formal Grammars

2.3.3. The Cactus Language : Stylistics

2.3.4. The Cactus Language : Mechanics

2.3.5. The Cactus Language : Semantics

2.3.6. Stretching Exercises

2.4. Syntactic Transformations

2.4.1. Syntactic Transformation Rules

2.4.2. Derived Equivalence Relations

2.4.3. Digression on Derived Relations

3. Part 3

3.1. Outlook of the Project : All Ways Lead to Inquiry

3.1.1. The Matrix of Inquiry

3.1.1.1. Inquiry as Conduct
3.1.1.2. Types of Conduct
3.1.1.3. Perils of Inquiry
3.1.1.4. Forms of Relations
3.1.1.5. Models of Inquiry

3.1.2. The Moment of Inquiry

3.1.3. The Modes of Inquiry

3.1.3.1. Deductive Reasoning
3.1.3.2. Inductive Reasoning
3.1.3.3. Abductive Reasoning
3.1.3.4. Analogical Reasoning

3.2. Obstacles to the Project : In the Way of Inquiry

3.2.1. The Initial Unpleasantness

3.2.2. The Justification Trap

3.2.3. A Formal Apology

3.2.3.1. Category Double-Takes
3.2.3.2. Conceptual Extensions
3.2.3.3. Explosional Recombinations
3.2.3.4. Interpretive Frameworks

3.2.4. A Material Exigency

3.2.5. A reconciliation of Accounts

3.2.6. Objections to Reflective Inquiry

3.2.7. Empirical Considerations

3.2.8. Computational Considerations

3.2.8.1. A Form of Recursion
3.2.8.2. A Power of Abstraction

Appendices

References

Document History




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