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==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. A Puckish Referee=====
=====1.3.5.8. A Puckish 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=====
===3.3. Orientation of the Project : A Way Into Inquiry===
===3.3. Orientation of the Project : A Way Into Inquiry===
====3.3.1. Initial Description of Inquiry====
====3.3.1. Initial Description of Inquiry====
====3.3.2. Terms of Analysis====
====3.3.2. Terms of Analysis====
=====3.3.2.1. Digression on Signs=====
=====3.3.2.1. Digression on Signs=====
=====3.3.2.2. Empirical Status of ID=====
=====3.3.2.2. Empirical Status of ID=====
====3.3.3. Expansion of Terms====
====3.3.3. Expansion of Terms====
=====3.3.3.1. Agency=====
=====3.3.3.1. Agency=====
=====3.3.3.2. Abstraction=====
=====3.3.3.2. Abstraction=====
=====3.3.3.3. Analogy=====
=====3.3.3.3. Analogy=====
=====3.3.3.4. Accuracy=====
=====3.3.3.4. Accuracy=====
=====3.3.3.5. Authenticity=====
=====3.3.3.5. Authenticity=====
====3.3.4. Anchoring Terms in Phenomena====
====3.3.4. Anchoring Terms in Phenomena====
=====3.3.4.1. A Mistaken ID=====
=====3.3.4.1. A Mistaken ID=====
=====3.3.4.2. Phenomenology of Doubt=====
=====3.3.4.2. Phenomenology of Doubt=====
=====3.3.4.3. Modalities of Knowledge=====
=====3.3.4.3. Modalities of Knowledge=====
====3.3.5. Sets, Systems, and Substantive Agents====
====3.3.5. Sets, Systems, and Substantive Agents====
====3.3.6. Interpretive Systems====
====3.3.6. Interpretive Systems====
=====3.3.6.1. Syntactic Systems=====
=====3.3.6.1. Syntactic Systems=====
=====3.3.6.2. Semantic Systems=====
=====3.3.6.2. Semantic Systems=====
=====3.3.6.3. Pragmatic Systems=====
=====3.3.6.3. Pragmatic Systems=====
====3.3.7. Inquiry Driven Systems====
====3.3.7. Inquiry Driven Systems====
=====3.3.7.1. A Definition of Inquiry=====
=====3.3.7.1. A Definition of Inquiry=====
=====3.3.7.2. The Faculty of Inquiry=====
=====3.3.7.2. The Faculty of Inquiry=====
=====3.3.7.3. A Definition of Determination=====
=====3.3.7.3. A Definition of Determination=====
=====3.3.7.4. A Definition of Definition=====
=====3.3.7.4. A Definition of Definition=====
===3.4. Organization of the Project : A Way Through Inquiry===
===3.4. Organization of the Project : A Way Through Inquiry===
====3.4.1. The Problem : Inquiry Found as an Object of Study====
====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. The Method : Inquiry Found as a Means of Study====
=====3.4.2.1. Conditions for the Possibility of Inquiry into Inquiry=====
=====3.4.2.1. Conditions for the Possibility of Inquiry into Inquiry=====
=====3.4.2.2. Conditions for the Success of Inquiry into Inquiry=====
=====3.4.2.2. Conditions for the Success of Inquiry into Inquiry=====
====3.4.3. The Criterion : Inquiry in Search of a Sensible End====
====3.4.3. The Criterion : Inquiry in Search of a Sensible End====
=====3.4.3.1. The Irritation of Doubt, and The Scratch Test=====
=====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=====
=====3.4.3.2. Enabling Provision 1 : The Scenes and Context of Inquiry=====
=====3.4.3.3. Enabling Provision 2 : The Stages and Content 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. Objectives of the Project : Inquiry All the Way===
====3.5.1. Substantial Objective====
====3.5.1. Substantial Objective====
=====3.5.1.1. Objective 1a : The Propositions as Types Analogy=====
=====3.5.1.1. Objective 1a : The Propositions as Types Analogy=====
=====3.5.1.2. Objective 1b : The Styles of Proof Development=====
=====3.5.1.2. Objective 1b : The Styles of Proof Development=====
=====3.5.1.3. Objective 1c : The Analysis of Interpreters, or A Problem with Authority=====
=====3.5.1.3. Objective 1c : The Analysis of Interpreters, or A Problem with Authority=====
====3.5.2. Instrumental Objective====
====3.5.2. Instrumental Objective====
====3.5.3. Coordination of Objectives====
====3.5.3. Coordination of Objectives====
====3.5.4. Recapitulation — Da Capo, Al Segno====
====3.5.4. Recapitulation : Da Capo, Al Segno====
==4. Discussion of Inquiry==
===4.1. Approaches to Inquiry===
===4.1. Approaches to Inquiry===
====4.1.1. The Classical Framework : Syllogistic Approaches====
====4.1.1. The Classical Framework : Syllogistic Approaches====
====4.1.2. The Pragmatic Framework : Sign-Theoretic Approaches====
====4.1.2. The Pragmatic Framework : Sign-Theoretic Approaches====
====4.1.3. The Dynamical Framework : System-Theoretic Approaches====
====4.1.3. The Dynamical Framework : System-Theoretic Approaches====
=====4.1.3.1. Inquiry and Computation=====
=====4.1.3.1. Inquiry and Computation=====
=====4.1.3.2. Inquiry Driven Systems=====
=====4.1.3.2. Inquiry Driven Systems=====
===4.2. The Context of Inquiry===
===4.2. The Context of Inquiry===
====4.2.1. The Field of Observation====
====4.2.1. The Field of Observation====
====4.2.2. The Problem of Reflection====
====4.2.2. The Problem of Reflection====
====4.2.3. The Problem of Reconstruction====
====4.2.3. The Problem of Reconstruction====
====4.2.4. The Trivializing of Integration====
====4.2.4. The Trivializing of Integration====
====4.2.5. Tensions in the Field of Observation====
====4.2.5. Tensions in the Field of Observation====
====4.2.6. Problems of Representation and Communication====
====4.2.6. Problems of Representation and Communication====
===4.3. The Conduct of Inquiry===
===4.3. The Conduct of Inquiry===
====4.3.1. Introduction====
====4.3.1. Introduction====
====4.3.2. The Types of Reasoning====
====4.3.2. The Types of Reasoning====
=====4.3.2.1. Deduction=====
=====4.3.2.1. Deduction=====
=====4.3.2.2. Induction=====
=====4.3.2.2. Induction=====
=====4.3.2.3. Abduction=====
=====4.3.2.3. Abduction=====
====4.3.3. Hybrid Types of Inference====
====4.3.3. Hybrid Types of Inference====
=====4.3.3.1. Analogy=====
=====4.3.3.1. Analogy=====
=====4.3.3.2. Inquiry=====
=====4.3.3.2. Inquiry=====
====4.3.4. Details of Induction====
====4.3.4. Details of Induction====
=====4.3.4.1. Learning=====
=====4.3.4.1. Learning=====
=====4.3.4.2. Transfer=====
=====4.3.4.2. Transfer=====
=====4.3.4.3. Testing=====
=====4.3.4.3. Testing=====
====4.3.5. The Stages of Inquiry====
====4.3.5. The Stages of Inquiry====
==5. Interlude : The Medium and Its Message==
==5. Interlude : The Medium and Its Message==
===5.1. Reflective Expression===
===5.1. Reflective Expression===
====5.1.1. Casual Reflection====
=====5.1.1.1. Ostensibly Recursive Texts=====
=====5.1.1.2. Analogical Recursion=====
====5.1.2. Conscious Reflection====
=====5.1.2.1. The Signal Moment=====
=====5.1.2.2. The Symbolic Object=====
=====5.1.2.3. The Endeavor to Communicate=====
=====5.1.2.4. The Medium of Communication=====
=====5.1.2.5. The Ark of Types : The Order of Things to Come=====
=====5.1.2.6. The Epitext=====
=====5.1.2.7. The Context of Interpretation=====
=====5.1.2.8. The Formative Tension=====
=====5.1.2.9. The Vehicle of Communication : Reflection on the Scene, Reflection on the Self=====
=====5.1.2.10. (7)=====
=====5.1.2.11. (6)=====
=====5.1.2.12. Recursions : Possible, Actual, Necessary=====
=====5.1.2.13. Ostensibly Recursive Texts=====
=====5.1.2.14. (3)=====
=====5.1.2.15. The Freedom of Interpretation=====
=====5.1.2.16. The Eternal Return=====
=====5.1.2.17. (1)=====
=====5.1.2.18. Information in Formation=====
=====5.1.2.19. Reflectively Indexical Texts=====
=====5.1.2.20. (4)=====
=====5.1.2.21. (5)=====
=====5.1.2.22. (6)=====
=====5.1.2.23. (7)=====
=====5.1.2.24. (8)=====
=====5.1.2.25. The Discursive Universe=====
=====5.1.2.26. (7)=====
=====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. Reflective Inquiry===
====5.2.1. Integrity and Unity of Inquiry====
====5.2.1. Integrity and Unity of Inquiry====
====5.2.2. Apparitions and Allegations====
====5.2.2. Apparitions and Allegations====
====5.2.3. A Reflective Heuristic====
====5.2.3. A Reflective Heuristic====
====5.2.4. Either/Or : A Sense of Absence====
====5.2.4. Either/Or : A Sense of Absence====
====5.2.5. Apparent, Occasional, and Practical Necessity====
====5.2.5. Apparent, Occasional, and Practical Necessity====
====5.2.6. Approaches, Aspects, Exposures, Fronts====
====5.2.6. Approaches, Aspects, Exposures, Fronts====
====5.2.7. Synthetic A Priori Truths====
====5.2.7. Synthetic A Priori Truths====
====5.2.8. Priorisms of Normative Sciences====
====5.2.8. Priorisms of Normative Sciences====
====5.2.9. Principle of Rational Action====
====5.2.9. Principle of Rational Action====
====5.2.10. The Pragmatic Cosmos====
====5.2.10. The Pragmatic Cosmos====
====5.2.11. Reflective Interpretive Frameworks====
====5.2.11. Reflective Interpretive Frameworks====
=====5.2.11.1. Principals vs. Principals=====
=====5.2.11.1. Principals vs. Principals=====
=====5.2.11.2. The Initial Description of Inquiry=====
=====5.2.11.2. The Initial Description of Inquiry=====
=====5.2.11.3. An Early Description of Interpretation=====
=====5.2.11.3. An Early Description of Interpretation=====
=====5.2.11.4. Descriptions of the Mind=====
=====5.2.11.4. Descriptions of the Mind=====
=====5.2.11.5. Of Signs and the Mind=====
=====5.2.11.5. Of Signs and the Mind=====
=====5.2.11.6. Questions of Justification=====
=====5.2.11.6. Questions of Justification=====
=====5.2.11.7. The Experience of Satisfaction=====
=====5.2.11.7. The Experience of Satisfaction=====
=====5.2.11.8. An Organizational Difficulty=====
=====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====
====The Light in the Clearing====
====The Face in the Mirror====
====Points Forward====
=====5.2.11.9. Pragmatic Certainties=====
==6. Reflective Interpretive Frameworks==
===6.1. The Phenomenology of Reflection===
===6.2. A Candid Point of View===
===6.3. A Projective Point of View===
===6.4. A Formal Point of View===
===6.5. Three Styles of Linguistic Usage===
===6.6. Basic Notions of Group Theory===
===6.7. Basic Notions of Formal Language Theory===
===6.8. A Perspective on Computation===
===6.9. Higher Order Sign Relations : Introduction===
===6.10. Higher Order Sign Relations : Examples===
===6.11. Higher Order Sign Relations : Application===
===6.12. Issue 1. The Status of Signs===
===6.13. Issue 2. The Status of Sets===
===6.14. Issue 3. The Status of Variables===
===6.15. Propositional Calculus===
===6.16. Recursive Aspects===
===6.17. Patterns of Self-Reference===
===6.18. Practical Intuitions===
===6.19. Examples of Self Reference===
===6.20. Three Views of Systems===
===6.21. Building Bridges Between Representations===
===6.22. Extensional Representations of Sign Relations===
===6.23. Intensional Representations of Sign Relations===
===6.24. Literal Intensional Representations===
===6.25. Analytic Intensional Representations===
===6.26. Differential Logic and Directed Graphs===
===6.27. Differential Logic and Group Operations===
===6.28. The Bridge : From Obstruction to Opportunity===
===6.29. Projects of Representation===
===6.30. Connected, Integrated, Reflective Symbols===
===6.31. Relations in General===
===6.32. Partiality : Selective Operations===
===6.33. Sign Relational Complexes===
===6.34. Set-Theoretic Constructions===
===6.35. Reducibility of Sign Relations===
===6.36. Irreducibly Triadic Relations===
===6.37. Propositional Types===
===6.38. Considering the Source===
===6.39. Prospective Indices : Pointers to Future Work===
===6.40. Dynamic and Evaluative Frameworks===
===6.41. Elective and Motive Forces===
===6.42. Sign Processes : A Start===
===6.43. Reflective Extensions===
===6.44. Reflections on Closure===
===6.45. Intelligence => Critical Reflection===
===6.46. Looking Ahead===
===6.47. Mutually Intelligible Codes===
===6.48. Discourse Analysis : Ways and Means===
===6.49. Combinations of Sign Relations===
===6.50. Revisiting the Source===
=====5.2.11.10. Problems and Methods=====
==7. Part 7==
===7.1. Divertimento : Eternity in Love with the Creatures of Time===
====7.1.1. Reflections on the Presentation of Examples====
====7.1.2. Searching for Parameters====
====7.1.3. Defect Analysis====
====7.1.4. The Pragmatic Critique====
====7.1.5. Pragmatic Operating Notions====
====7.1.6. Defects of Presentation====
====7.1.7. Dues to Process====
====7.1.8. Duties to Purpose====
===7.2. Computational Design Philosophy===
====7.2.1. Intentional Objects and Attitudes====
====7.2.2. Imperfect Design and Persistent Error====
====7.2.3. Propositional Reasoning About Relations====
====7.2.4. Dynamic and Evaluative Frameworks====
====7.2.5. Discussion of Examples====
====7.2.6. Information and Inquiry====
===5.3. Reflection on Reflection===
==8. Overview of the Domain : Interpretive Inquiry==
===8.1. Interpretive Bearings : Conceptual and Descriptive Frameworks===
====8.1.1. Catwalks : Flexible Frameworks and Peripatetic Categories====
=====8.1.1.1. Eponymous Ancestors : The Precursors of Abstraction?=====
=====8.1.1.2. Reticles : Interpretive Flexibility as a Design Issue=====
====8.1.2. Heuristic Inclinations and Regulative Principles====
===8.2. Features of Inquiry Driven Systems===
====8.2.1. The Pragmatic Theory of Signs====
=====8.2.1.1. Sign Relations=====
=====8.2.1.2. Types of Signs=====
====8.2.2. The Pragmatic Theory of Inquiry====
=====8.2.2.1. Abduction=====
=====8.2.2.2. Deduction=====
=====8.2.2.3. Induction=====
===8.3. Examples of Inquiry Driven Systems===
====8.3.1. “Index” : A Program for Learning Formal Languages====
====8.3.2. “Study” : A Program for Reasoning with Propositions====
===8.4. Discussion and Development of Objectives===
====8.4.1. Objective 1a : Propositions as Types====
====8.4.2. Objective 1b : Proof Styles and Developments====
====8.4.3. Objective 1c : Interpretation and Authority====
==Appendices==
==Appendices==
===Logical Translation Rule 1===
===Geometric Translation Rule 1===
===Logical Translation Rule 2===
===Geometric Translation Rule 2===
==References==
==References==
