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<div class="nonumtoc">__TOC__</div>
+
==Introduction==
 +
===Outline of the Project : Inquiry Into Inquiry===
 +
====Problem====
 +
====Method====
 +
=====The Paradigmatic and Process-Analytic Phase=====
 +
=====The Paraphrastic and Faculty-Synthetic Phase=====
 +
=====Reprise of Methods=====
 +
====Criterion====
 +
====Application====
 +
===Onus of the Project : No Way But Inquiry===
 +
====A Modulating Prelude====
 +
====A Fugitive Canon====
 +
===Option of the Project : A Way Up To Inquiry===
 +
====Initial Analysis of Inquiry : Allegro Aperto====
 +
====Discussion of Discussion====
 +
====Discussion of Formalization : General Topics====
 +
=====A Formal Charge=====
 +
=====A Formalization of Formalization?=====
 +
=====A Formalization of Discussion?=====
 +
=====A Concept of Formalization=====
 +
=====A Formal Approach=====
 +
=====A Formal Development=====
 +
=====A Formal Persuasion=====
 +
====Discussion of Formalization : Concrete Examples====
 +
=====Formal Models : A Sketch=====
 +
=====Sign Relations : A Primer=====
 +
=====Semiotic Equivalence Relations=====
 +
=====Graphical Representations=====
 +
=====Taking Stock=====
 +
=====The “Meta” Question=====
 +
=====Iconic Signs=====
 +
=====The Conflict of Interpretations=====
 +
=====Indexical Signs=====
 +
=====Sundry Problems=====
 +
=====Review and Prospect=====
 +
=====Objective Plans and Levels=====
 +
=====Formalization of OF : Objective Levels=====
 +
=====Application of OF : Generic Level=====
 +
=====Application of OF : Motive Level=====
 +
=====The Integration of Frameworks=====
 +
=====Recapitulation : A Brush with Symbols=====
 +
=====C'est Moi=====
 +
=====Entr'acte=====
 +
====Discussion of Formalization : Specific Objects====
 +
=====The Will to Form=====
 +
=====The Forms of Reasoning=====
 +
=====A Fork in the Road=====
 +
=====A Forged Bond=====
 +
=====A Formal Account=====
 +
=====Analogs, Icons, Models, Surrogates=====
 +
=====Steps and Tests of Formalization=====
 +
=====A Puckish Referee=====
 +
=====Partial Formalizations=====
 +
=====A Formal Utility=====
 +
=====A Formal Aesthetic=====
 +
=====A Formal Apology=====
 +
=====A Formal Suspicion=====
 +
=====The Double Aspect of Concepts=====
 +
=====A Formal Permission=====
 +
=====A Formal Invention=====
 +
====Recursion in Perpetuity====
 +
====Processus, Regressus, Progressus====
 +
====Rondeau : Tempo di Menuetto====
   −
==1. Introduction==
+
==Part 2==
===1.1. Outline of the Project : Inquiry Into Inquiry===
+
===Reconnaissance===
====1.1.1. Problem====
+
====The Informal Context====
====1.1.2. Method====
+
====The Epitext====
=====1.1.2.1. The Paradigmatic and Process-Analytic Phase=====
+
====The Formative Tension====
=====1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase=====
+
===Recurring Themes===
=====1.1.2.3. Reprise of Methods=====
+
====Preliminary Notions====
====1.1.3. Criterion====
+
====Intermediary Notions====
====1.1.4. Application====
+
====Propositions and Sentences====
===1.2. Onus of the Project : No Way But Inquiry===
+
====Empirical Types and Rational Types====
====1.2.1. A Modulating Prelude====
+
====Articulate Sentences====
====1.2.2. A Fugitive Canon====
+
====Stretching Principles====
===1.3. Option of the Project : A Way Up To Inquiry===
+
====Stretching Operations====
====1.3.1. Initial Analysis of Inquiry : Allegro Aperto====
+
===The Cactus Patch===
====1.3.2. Discussion of Discussion====
+
====The Cactus Language : Syntax====
====1.3.3. Discussion of Formalization : General Topics====
+
=====Grammar 1=====
=====1.3.3.1. A Formal Charge=====
+
=====Grammar 2=====
=====1.3.3.2. A Formalization of Formalization?=====
+
=====Grammar 3=====
=====1.3.3.3. A Formalization of Discussion?=====
+
=====Grammar 4=====
=====1.3.3.4. A Concept of Formalization=====
+
=====Grammar 5=====
=====1.3.3.5. A Formal Approach=====
+
=====Grammar 6=====
=====1.3.3.6. A Formal Development=====
+
====Generalities About Formal Grammars====
=====1.3.3.7. A Formal Persuasion=====
+
====The Cactus Language : Stylistics====
====1.3.4. Discussion of Formalization : Concrete Examples====
+
====The Cactus Language : Mechanics====
=====1.3.4.1. Formal Models : A Sketch=====
+
====The Cactus Language : Semantics====
=====1.3.4.2. Sign Relations : A Primer=====
+
====Stretching Exercises====
=====1.3.4.3. Semiotic Equivalence Relations=====
+
===Syntactic Transformations===
=====1.3.4.4. Graphical Representations=====
+
====Syntactic Transformation Rules====
=====1.3.4.5. Taking Stock=====
+
====Derived Equivalence Relations====
=====1.3.4.6. The “Meta” Question=====
+
====Digression on Derived Relations====
=====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. A Puckish 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==
+
==Part 3==
===2.1. Reconnaissance===
+
===Outlook of the Project : All Ways Lead to Inquiry===
====2.1.1. The Informal Context====
+
====The Matrix of Inquiry====
====2.1.2. The Epitext====
+
=====Inquiry as Conduct=====
====2.1.3. The Formative Tension====
+
=====Types of Conduct=====
===2.2. Recurring Themes===
+
=====Perils of Inquiry=====
====2.2.1. Preliminary Notions====
+
=====Forms of Relations=====
====2.2.2. Intermediary Notions====
+
=====Models of Inquiry=====
====2.2.3. Propositions and Sentences====
+
====The Moment of Inquiry====
====2.2.4. Empirical Types and Rational Types====
+
====The Modes of Inquiry====
====2.2.5. Articulate Sentences====
+
=====Deductive Reasoning=====
====2.2.6. Stretching Principles====
+
=====Inductive Reasoning=====
====2.2.7. Stretching Operations====
+
=====Abductive Reasoning=====
===2.3. The Cactus Patch===
+
=====Analogical Reasoning=====
====2.3.1. The Cactus Language : Syntax====
+
===Obstacles to the Project : In the Way of Inquiry===
=====2.3.1.1. Grammar 1=====
+
====The Initial Unpleasantness====
=====2.3.1.2. Grammar 2=====
+
====The Justification Trap====
=====2.3.1.3. Grammar 3=====
+
====A Formal Apology====
=====2.3.1.4. Grammar 4=====
+
=====Category Double-Takes=====
=====2.3.1.5. Grammar 5=====
+
=====Conceptual Extensions=====
=====2.3.1.6. Grammar 6=====
+
=====Explosional Recombinations=====
====2.3.2. Generalities About Formal Grammars====
+
=====Interpretive Frameworks=====
====2.3.3. The Cactus Language : Stylistics====
+
====A Material Exigency====
====2.3.4. The Cactus Language : Mechanics====
+
====A Reconciliation of Accounts====
====2.3.5. The Cactus Language : Semantics====
+
====Objections to Reflective Inquiry====
====2.3.6. Stretching Exercises====
+
====Empirical Considerations====
===2.4. Syntactic Transformations===
+
====Computational Considerations====
====2.4.1. Syntactic Transformation Rules====
+
=====A Form of Recursion=====
====2.4.2. Derived Equivalence Relations====
+
=====A Power of Abstraction=====
====2.4.3. Digression on Derived Relations====
+
===Orientation of the Project : A Way Into Inquiry===
 +
====Initial Description of Inquiry====
 +
====Terms of Analysis====
 +
=====Digression on Signs=====
 +
=====Empirical Status of ID=====
 +
====Expansion of Terms====
 +
=====Agency=====
 +
=====Abstraction=====
 +
=====Analogy=====
 +
=====Accuracy=====
 +
=====Authenticity=====
 +
====Anchoring Terms in Phenomena====
 +
=====A Mistaken ID=====
 +
=====Phenomenology of Doubt=====
 +
=====Modalities of Knowledge=====
 +
====Sets, Systems, and Substantive Agents====
 +
====Interpretive Systems====
 +
=====Syntactic Systems=====
 +
=====Semantic Systems=====
 +
=====Pragmatic Systems=====
 +
====Inquiry Driven Systems====
 +
=====A Definition of Inquiry=====
 +
=====The Faculty of Inquiry=====
 +
=====A Definition of Determination=====
 +
=====A Definition of Definition=====
 +
===Organization of the Project : A Way Through Inquiry===
 +
====The Problem : Inquiry Found as an Object of Study====
 +
====The Method : Inquiry Found as a Means of Study====
 +
=====Conditions for the Possibility of Inquiry into Inquiry=====
 +
=====Conditions for the Success of Inquiry into Inquiry=====
 +
====The Criterion : Inquiry in Search of a Sensible End====
 +
=====The Irritation of Doubt, and The Scratch Test=====
 +
=====Enabling Provision 1 : The Scenes and Context of Inquiry=====
 +
=====Enabling Provision 2 : The Stages and Content of Inquiry=====
 +
===Objectives of the Project : Inquiry All the Way===
 +
====Substantial Objective====
 +
=====Objective 1a : The Propositions as Types Analogy=====
 +
=====Objective 1b : The Styles of Proof Development=====
 +
=====Objective 1c : The Analysis of Interpreters, or A Problem with Authority=====
 +
====Instrumental Objective====
 +
====Coordination of Objectives====
 +
====Recapitulation — Da Capo, Al Segno====
   −
==3. Part 3==
+
==Discussion of Inquiry==
===3.1. Outlook of the Project : All Ways Lead to Inquiry===
+
===Approaches to Inquiry===
====3.1.1. The Matrix of Inquiry====
+
====The Classical Framework : Syllogistic Approaches====
=====3.1.1.1. Inquiry as Conduct=====
+
====The Pragmatic Framework : Sign-Theoretic Approaches====
=====3.1.1.2. Types of Conduct=====
+
====The Dynamical Framework : System-Theoretic Approaches====
=====3.1.1.3. Perils of Inquiry=====
+
=====Inquiry and Computation=====
=====3.1.1.4. Forms of Relations=====
+
=====Inquiry Driven Systems=====
=====3.1.1.5. Models of Inquiry=====
+
===The Context of Inquiry===
====3.1.2. The Moment of Inquiry====
+
====The Field of Observation====
====3.1.3. The Modes of Inquiry====
+
====The Problem of Reflection====
=====3.1.3.1. Deductive Reasoning=====
+
====The Problem of Reconstruction====
=====3.1.3.2. Inductive Reasoning=====
+
====The Trivializing of Integration====
=====3.1.3.3. Abductive Reasoning=====
+
====Tensions in the Field of Observation====
=====3.1.3.4. Analogical Reasoning=====
+
====Problems of Representation and Communication====
===3.2. Obstacles to the Project : In the Way of Inquiry===
+
===The Conduct of Inquiry===
====3.2.1. The Initial Unpleasantness====
+
====Introduction====
====3.2.2. The Justification Trap====
+
====The Types of Reasoning====
====3.2.3. A Formal Apology====
+
=====Deduction=====
=====3.2.3.1. Category Double-Takes=====
+
=====Induction=====
=====3.2.3.2. Conceptual Extensions=====
+
=====Abduction=====
=====3.2.3.3. Explosional Recombinations=====
+
====Hybrid Types of Inference====
=====3.2.3.4. Interpretive Frameworks=====
+
=====Analogy=====
====3.2.4. A Material Exigency====
+
=====Inquiry=====
====3.2.5. A Reconciliation of Accounts====
+
====Details of Induction====
====3.2.6. Objections to Reflective Inquiry====
+
=====Learning=====
====3.2.7. Empirical Considerations====
+
=====Transfer=====
====3.2.8. Computational Considerations====
+
=====Testing=====
=====3.2.8.1. A Form of Recursion=====
+
====The Stages of Inquiry====
=====3.2.8.2. A Power of Abstraction=====
  −
===3.3. Orientation of the Project : A Way Into Inquiry===
  −
====3.3.1. Initial Description of Inquiry====
  −
====3.3.2. Terms of Analysis====
  −
=====3.3.2.1. Digression on Signs=====
  −
=====3.3.2.2. Empirical Status of ID=====
  −
====3.3.3. Expansion of Terms====
  −
=====3.3.3.1. Agency=====
  −
=====3.3.3.2. Abstraction=====
  −
=====3.3.3.3. Analogy=====
  −
=====3.3.3.4. Accuracy=====
  −
=====3.3.3.5. Authenticity=====
  −
====3.3.4. Anchoring Terms in Phenomena====
  −
=====3.3.4.1. A Mistaken ID=====
  −
=====3.3.4.2. Phenomenology of Doubt=====
  −
=====3.3.4.3. Modalities of Knowledge=====
  −
====3.3.5. Sets, Systems, and Substantive Agents====
  −
====3.3.6. Interpretive Systems====
  −
=====3.3.6.1. Syntactic Systems=====
  −
=====3.3.6.2. Semantic Systems=====
  −
=====3.3.6.3. Pragmatic Systems=====
  −
====3.3.7. Inquiry Driven Systems====
  −
=====3.3.7.1. A Definition of Inquiry=====
  −
=====3.3.7.2. The Faculty of Inquiry=====
  −
=====3.3.7.3. A Definition of Determination=====
  −
=====3.3.7.4. A Definition of Definition=====
  −
===3.4. Organization of the Project : A Way Through Inquiry===
  −
====3.4.1. The Problem : Inquiry Found as an Object of Study====
  −
====3.4.2. The Method : Inquiry Found as a Means of Study====
  −
=====3.4.2.1. Conditions for the Possibility of Inquiry into Inquiry=====
  −
=====3.4.2.2. Conditions for the Success of Inquiry into Inquiry=====
  −
====3.4.3. The Criterion : Inquiry in Search of a Sensible End====
  −
=====3.4.3.1. The Irritation of Doubt, and The Scratch Test=====
  −
=====3.4.3.2. Enabling Provision 1 : The Scenes and Context of Inquiry=====
  −
=====3.4.3.3. Enabling Provision 2 : The Stages and Content of Inquiry=====
  −
===3.5. Objectives of the Project : Inquiry All the Way===
  −
====3.5.1. Substantial Objective====
  −
=====3.5.1.1. Objective 1a : The Propositions as Types Analogy=====
  −
=====3.5.1.2. Objective 1b : The Styles of Proof Development=====
  −
=====3.5.1.3. Objective 1c : The Analysis of Interpreters, or A Problem with Authority=====
  −
====3.5.2. Instrumental Objective====
  −
====3.5.3. Coordination of Objectives====
  −
====3.5.4. Recapitulation — Da Capo, Al Segno====
     −
==4. Discussion of Inquiry==
+
==Interlude : The Medium and Its Message==
===4.1. Approaches to Inquiry===
+
===Reflective Expression===
====4.1.1. The Classical Framework : Syllogistic Approaches====
+
====Casual Reflection====
====4.1.2. The Pragmatic Framework : Sign-Theoretic Approaches====
+
=====Ostensibly Recursive Texts=====
====4.1.3. The Dynamical Framework : System-Theoretic Approaches====
+
=====Analogical Recursion=====
=====4.1.3.1. Inquiry and Computation=====
+
====Conscious Reflection====
=====4.1.3.2. Inquiry Driven Systems=====
+
=====The Signal Moment=====
===4.2. The Context of Inquiry===
+
=====The Symbolic Object=====
====4.2.1. The Field of Observation====
+
=====The Endeavor to Communicate=====
====4.2.2. The Problem of Reflection====
+
=====The Medium of Communication=====
====4.2.3. The Problem of Reconstruction====
+
=====The Ark of Types : The Order of Things to Come=====
====4.2.4. The Trivializing of Integration====
+
=====The Epitext=====
====4.2.5. Tensions in the Field of Observation====
+
=====The Context of Interpretation=====
====4.2.6. Problems of Representation and Communication====
+
=====The Formative Tension=====
===4.3. The Conduct of Inquiry===
+
=====The Vehicle of Communication : Reflection on the Scene, Reflection on the Self=====
====4.3.1. Introduction====
+
=====(7)=====
====4.3.2. The Types of Reasoning====
+
=====(6)=====
=====4.3.2.1. Deduction=====
+
=====Recursions : Possible, Actual, Necessary=====
=====4.3.2.2. Induction=====
+
=====Ostensibly Recursive Texts=====
=====4.3.2.3. Abduction=====
+
=====(3)=====
====4.3.3. Hybrid Types of Inference====
+
=====The Freedom of Interpretation=====
=====4.3.3.1. Analogy=====
+
=====The Eternal Return=====
=====4.3.3.2. Inquiry=====
+
=====(1)=====
====4.3.4. Details of Induction====
+
=====Information in Formation=====
=====4.3.4.1. Learning=====
+
=====Reflectively Indexical Texts=====
=====4.3.4.2. Transfer=====
+
=====(4)=====
=====4.3.4.3. Testing=====
+
=====(5)=====
====4.3.5. The Stages of Inquiry====
+
=====(6)=====
 
+
=====(7)=====
==5. Interlude : The Medium and Its Message==
+
=====(8)=====
===5.1. Reflective Expression===
+
=====The Discursive Universe=====
====5.1.1. Casual Reflection====
+
=====(7)=====
=====5.1.1.1. Ostensibly Recursive Texts=====
+
=====(6)=====
=====5.1.1.2. Analogical Recursion=====
+
=====(5)=====
====5.1.2. Conscious Reflection====
+
=====(4)=====
=====5.1.2.1. The Signal Moment=====
+
=====(3)=====
=====5.1.2.2. The Symbolic Object=====
+
=====(2)=====
=====5.1.2.3. The Endeavor to Communicate=====
+
=====(1)=====
=====5.1.2.4. The Medium of Communication=====
+
===Reflective Inquiry===
=====5.1.2.5. The Ark of Types : The Order of Things to Come=====
+
====Integrity and Unity of Inquiry====
=====5.1.2.6. The Epitext=====
+
====Apparitions and Allegations====
=====5.1.2.7. The Context of Interpretation=====
+
====A Reflective Heuristic====
=====5.1.2.8. The Formative Tension=====
+
====Either/Or : A Sense of Absence====
=====5.1.2.9. The Vehicle of Communication : Reflection on the Scene, Reflection on the Self=====
+
====Apparent, Occasional, and Practical Necessity====
=====5.1.2.10. (7)=====
+
====Approaches, Aspects, Exposures, Fronts====
=====5.1.2.11. (6)=====
+
====Synthetic A Priori Truths====
=====5.1.2.12. Recursions : Possible, Actual, Necessary=====
+
====Priorisms of Normative Sciences====
=====5.1.2.13. Ostensibly Recursive Texts=====
+
====Principle of Rational Action====
=====5.1.2.14. (3)=====
+
====The Pragmatic Cosmos====
=====5.1.2.15. The Freedom of Interpretation=====
+
====Reflective Interpretive Frameworks====
=====5.1.2.16. The Eternal Return=====
+
=====Principals vs. Principals=====
=====5.1.2.17. (1)=====
+
=====The Initial Description of Inquiry=====
=====5.1.2.18. Information in Formation=====
+
=====An Early Description of Interpretation=====
=====5.1.2.19. Reflectively Indexical Texts=====
+
=====Descriptions of the Mind=====
=====5.1.2.20. (4)=====
+
=====Of Signs and the Mind=====
=====5.1.2.21. (5)=====
+
=====Questions of Justification=====
=====5.1.2.22. (6)=====
+
=====The Experience of Satisfaction=====
=====5.1.2.23. (7)=====
+
=====An Organizational Difficulty=====
=====5.1.2.24. (8)=====
+
=====Pragmatic Certainties=====
=====5.1.2.25. The Discursive Universe=====
+
=====Problems and Methods=====
=====5.1.2.26. (7)=====
+
===Reflection on Reflection===
=====5.1.2.27. (6)=====
  −
=====5.1.2.28. (5)=====
  −
=====5.1.2.29. (4)=====
  −
=====5.1.2.30. (3)=====
  −
=====5.1.2.31. (2)=====
  −
=====5.1.2.32. (1)=====
  −
===5.2. Reflective Inquiry===
  −
====5.2.1. Integrity and Unity of Inquiry====
  −
====5.2.2. Apparitions and Allegations====
  −
====5.2.3. A Reflective Heuristic====
  −
====5.2.4. Either/Or : A Sense of Absence====
  −
====5.2.5. Apparent, Occasional, and Practical Necessity====
  −
====5.2.6. Approaches, Aspects, Exposures, Fronts====
  −
====5.2.7. Synthetic A Priori Truths====
  −
====5.2.8. Priorisms of Normative Sciences====
  −
====5.2.9. Principle of Rational Action====
  −
====5.2.10. The Pragmatic Cosmos====
  −
====5.2.11. Reflective Interpretive Frameworks====
  −
=====5.2.11.1. Principals vs. Principals=====
  −
=====5.2.11.2. The Initial Description of Inquiry=====
  −
=====5.2.11.3. An Early Description of Interpretation=====
  −
=====5.2.11.4. Descriptions of the Mind=====
  −
=====5.2.11.5. Of Signs and the Mind=====
  −
=====5.2.11.6. Questions of Justification=====
  −
=====5.2.11.7. The Experience of Satisfaction=====
  −
=====5.2.11.8. An Organizational Difficulty=====
  −
=====5.2.11.9. Pragmatic Certainties=====
  −
=====5.2.11.10. Problems and Methods=====
  −
===5.3. Reflection on Reflection===
   
====Looking Back====
 
====Looking Back====
 
====The Light in the Clearing====
 
====The Light in the Clearing====
Line 298: Line 296:  
====Points Forward====
 
====Points Forward====
   −
==6. Reflective Interpretive Frameworks==
+
==Reflective Interpretive Frameworks==
===6.1. The Phenomenology of Reflection===
+
===The Phenomenology of Reflection===
===6.2. A Candid Point of View===
+
===A Candid Point of View===
===6.3. A Projective Point of View===
+
===A Projective Point of View===
===6.4. A Formal Point of View===
+
===A Formal Point of View===
===6.5. Three Styles of Linguistic Usage===
+
===Three Styles of Linguistic Usage===
===6.6. Basic Notions of Group Theory===
+
===Basic Notions of Group Theory===
===6.7. Basic Notions of Formal Language Theory===
+
===Basic Notions of Formal Language Theory===
===6.8. A Perspective on Computation===
+
===A Perspective on Computation===
===6.9. Higher Order Sign Relations : Introduction===
+
===Higher Order Sign Relations : Introduction===
===6.10. Higher Order Sign Relations : Examples===
+
===Higher Order Sign Relations : Examples===
===6.11. Higher Order Sign Relations : Application===
+
===Higher Order Sign Relations : Application===
===6.12. Issue 1. The Status of Signs===
+
===Issue 1. The Status of Signs===
===6.13. Issue 2. The Status of Sets===
+
===Issue 2. The Status of Sets===
===6.14. Issue 3. The Status of Variables===
+
===Issue 3. The Status of Variables===
===6.15. Propositional Calculus===
+
===Propositional Calculus===
===6.16. Recursive Aspects===
+
===Recursive Aspects===
===6.17. Patterns of Self-Reference===
+
===Patterns of Self-Reference===
===6.18. Practical Intuitions===
+
===Practical Intuitions===
===6.19. Examples of Self Reference===
+
===Examples of Self Reference===
===6.20. Three Views of Systems===
+
===Three Views of Systems===
===6.21. Building Bridges Between Representations===
+
===Building Bridges Between Representations===
===6.22. Extensional Representations of Sign Relations===
+
===Extensional Representations of Sign Relations===
===6.23. Intensional Representations of Sign Relations===
+
===Intensional Representations of Sign Relations===
===6.24. Literal Intensional Representations===
+
===Literal Intensional Representations===
===6.25. Analytic Intensional Representations===
+
===Analytic Intensional Representations===
===6.26. Differential Logic and Directed Graphs===
+
===Differential Logic and Directed Graphs===
===6.27. Differential Logic and Group Operations===
+
===Differential Logic and Group Operations===
===6.28. The Bridge : From Obstruction to Opportunity===
+
===The Bridge : From Obstruction to Opportunity===
===6.29. Projects of Representation===
+
===Projects of Representation===
===6.30. Connected, Integrated, Reflective Symbols===
+
===Connected, Integrated, Reflective Symbols===
===6.31. Relations in General===
+
===Relations in General===
===6.32. Partiality : Selective Operations===
+
===Partiality : Selective Operations===
===6.33. Sign Relational Complexes===
+
===Sign Relational Complexes===
===6.34. Set-Theoretic Constructions===
+
===Set-Theoretic Constructions===
===6.35. Reducibility of Sign Relations===
+
===Reducibility of Sign Relations===
===6.36. Irreducibly Triadic Relations===
+
===Irreducibly Triadic Relations===
===6.37. Propositional Types===
+
===Propositional Types===
===6.38. Considering the Source===
+
===Considering the Source===
===6.39. Prospective Indices : Pointers to Future Work===
+
===Prospective Indices : Pointers to Future Work===
===6.40. Dynamic and Evaluative Frameworks===
+
===Dynamic and Evaluative Frameworks===
===6.41. Elective and Motive Forces===
+
===Elective and Motive Forces===
===6.42. Sign Processes : A Start===
+
===Sign Processes : A Start===
===6.43. Reflective Extensions===
+
===Reflective Extensions===
===6.44. Reflections on Closure===
+
===Reflections on Closure===
===6.45. Intelligence => Critical Reflection===
+
===Intelligence => Critical Reflection===
===6.46. Looking Ahead===
+
===Looking Ahead===
===6.47. Mutually Intelligible Codes===
+
===Mutually Intelligible Codes===
===6.48. Discourse Analysis : Ways and Means===
+
===Discourse Analysis : Ways and Means===
===6.49. Combinations of Sign Relations===
+
===Combinations of Sign Relations===
===6.50. Revisiting the Source===
+
===Revisiting the Source===
   −
==7. Part 7==
+
==Part 7==
===7.1. Divertimento : Eternity in Love with the Creatures of Time===
+
===Divertimento : Eternity in Love with the Creatures of Time===
====7.1.1. Reflections on the Presentation of Examples====
+
====Reflections on the Presentation of Examples====
====7.1.2. Searching for Parameters====
+
====Searching for Parameters====
====7.1.3. Defect Analysis====
+
====Defect Analysis====
====7.1.4. The Pragmatic Critique====
+
====The Pragmatic Critique====
====7.1.5. Pragmatic Operating Notions====
+
====Pragmatic Operating Notions====
====7.1.6. Defects of Presentation====
+
====Defects of Presentation====
====7.1.7. Dues to Process====
+
====Dues to Process====
====7.1.8. Duties to Purpose====
+
====Duties to Purpose====
===7.2. Computational Design Philosophy===
+
===Computational Design Philosophy===
====7.2.1. Intentional Objects and Attitudes====
+
====Intentional Objects and Attitudes====
====7.2.2. Imperfect Design and Persistent Error====
+
====Imperfect Design and Persistent Error====
====7.2.3. Propositional Reasoning About Relations====
+
====Propositional Reasoning About Relations====
====7.2.4. Dynamic and Evaluative Frameworks====
+
====Dynamic and Evaluative Frameworks====
====7.2.5. Discussion of Examples====
+
====Discussion of Examples====
====7.2.6. Information and Inquiry====
+
====Information and Inquiry====
   −
==8. Overview of the Domain : Interpretive Inquiry==
+
==Overview of the Domain : Interpretive Inquiry==
===8.1. Interpretive Bearings : Conceptual and Descriptive Frameworks===
+
===Interpretive Bearings : Conceptual and Descriptive Frameworks===
====8.1.1. Catwalks : Flexible Frameworks and Peripatetic Categories====
+
====Catwalks : Flexible Frameworks and Peripatetic Categories====
=====8.1.1.1. Eponymous Ancestors : The Precursors of Abstraction?=====
+
=====Eponymous Ancestors : The Precursors of Abstraction?=====
=====8.1.1.2. Reticles : Interpretive Flexibility as a Design Issue=====
+
=====Reticles : Interpretive Flexibility as a Design Issue=====
====8.1.2. Heuristic Inclinations and Regulative Principles====
+
====Heuristic Inclinations and Regulative Principles====
===8.2. Features of Inquiry Driven Systems===
+
===Features of Inquiry Driven Systems===
====8.2.1. The Pragmatic Theory of Signs====
+
====The Pragmatic Theory of Signs====
=====8.2.1.1. Sign Relations=====
+
=====Sign Relations=====
=====8.2.1.2. Types of Signs=====
+
=====Types of Signs=====
====8.2.2. The Pragmatic Theory of Inquiry====
+
====The Pragmatic Theory of Inquiry====
=====8.2.2.1. Abduction=====
+
=====Abduction=====
=====8.2.2.2. Deduction=====
+
=====Deduction=====
=====8.2.2.3. Induction=====
+
=====Induction=====
===8.3. Examples of Inquiry Driven Systems===
+
===Examples of Inquiry Driven Systems===
====8.3.1. “Index” : A Program for Learning Formal Languages====
+
====“Index” : A Program for Learning Formal Languages====
====8.3.2. “Study” : A Program for Reasoning with Propositions====
+
====“Study” : A Program for Reasoning with Propositions====
===8.4. Discussion and Development of Objectives===
+
===Discussion and Development of Objectives===
====8.4.1. Objective 1a : Propositions as Types====
+
====Objective 1a : Propositions as Types====
====8.4.2. Objective 1b : Proof Styles and Developments====
+
====Objective 1b : Proof Styles and Developments====
====8.4.3. Objective 1c : Interpretation and Authority====
+
====Objective 1c : Interpretation and Authority====
    
==Appendices==
 
==Appendices==
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[[Category:Artificial Intelligence]]
 
[[Category:Artificial Intelligence]]
 +
[[Category:Automated Research Tools]]
 +
[[Category:Charles Sanders Peirce]]
 
[[Category:Critical Thinking]]
 
[[Category:Critical Thinking]]
 
[[Category:Cybernetics]]
 
[[Category:Cybernetics]]
 +
[[Category:Differential Logic]]
 
[[Category:Education]]
 
[[Category:Education]]
 
[[Category:Hermeneutics]]
 
[[Category:Hermeneutics]]
 
[[Category:Information Systems]]
 
[[Category:Information Systems]]
 
[[Category:Inquiry]]
 
[[Category:Inquiry]]
 +
[[Category:Inquiry Driven Systems]]
 
[[Category:Intelligence Amplification]]
 
[[Category:Intelligence Amplification]]
 +
[[Category:Intelligence Augmentation]]
 +
[[Category:Intelligent Systems]]
 +
[[Category:Interpretation]]
 
[[Category:Learning Organizations]]
 
[[Category:Learning Organizations]]
 
[[Category:Knowledge Representation]]
 
[[Category:Knowledge Representation]]
 
[[Category:Logic]]
 
[[Category:Logic]]
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[[Category:Mathematics]]
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[[Category:Optimization]]
 
[[Category:Philosophy]]
 
[[Category:Philosophy]]
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[[Category:Planning]]
 
[[Category:Pragmatics]]
 
[[Category:Pragmatics]]
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[[Category:Problem Solving]]
 +
[[Category:Scientific Explanation]]
 
[[Category:Semantics]]
 
[[Category:Semantics]]
 
[[Category:Semiotics]]
 
[[Category:Semiotics]]
 +
[[Category:Software Engineering]]
 +
[[Category:Systems Engineering]]
 
[[Category:Systems Science]]
 
[[Category:Systems Science]]
 +
[[Category:Systems Theory]]
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