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<div class="nonumtoc">__TOC__</div> | <div class="nonumtoc">__TOC__</div> | ||
| − | ==1. | + | ==1. Introduction== |
| − | ===1.1. | + | ===1.1. Outline of the Project : Inquiry Into Inquiry=== |
| − | ====1.1.1. | + | ====1.1.1. Problem==== |
| − | ====1.1.2. | + | ====1.1.2. Method==== |
| − | =====1.1.2.1. | + | =====1.1.2.1. The Paradigmatic and Process-Analytic Phase===== |
| − | =====1.1.2.2. | + | =====1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase===== |
| − | =====1.1.2.3. | + | =====1.1.2.3. Reprise of Methods===== |
| − | ====1.1.3. | + | ====1.1.3. Criterion==== |
| − | ====1.1.4. | + | ====1.1.4. Application==== |
| − | ===1.2. | + | ===1.2. Onus of the Project : No Way But Inquiry=== |
| − | ====1.2.1. | + | ====1.2.1. A Modulating Prelude==== |
| − | ====1.2.2. | + | ====1.2.2. A Fugitive Canon==== |
| − | ===1.3. | + | ===1.3. Option of the Project : A Way Up To Inquiry=== |
| − | ====1.3.1. | + | ====1.3.1. Initial Analysis of Inquiry : Allegro Aperto==== |
| − | ====1.3.2. | + | ====1.3.2. Discussion of Discussion==== |
| − | ====1.3.3. | + | ====1.3.3. Discussion of Formalization : General Topics==== |
| − | =====1.3.3.1. | + | =====1.3.3.1. A Formal Charge===== |
| − | =====1.3.3.2. | + | =====1.3.3.2. A Formalization of Formalization?===== |
| − | =====1.3.3.3. | + | =====1.3.3.3. A Formalization of Discussion?===== |
| − | =====1.3.3.4. | + | =====1.3.3.4. A Concept of Formalization===== |
| − | =====1.3.3.5. | + | =====1.3.3.5. A Formal Approach===== |
| − | =====1.3.3.6. | + | =====1.3.3.6. A Formal Development===== |
| − | =====1.3.3.7. | + | =====1.3.3.7. A Formal Persuasion===== |
| − | ====1.3.4. | + | ====1.3.4. Discussion of Formalization : Concrete Examples==== |
| − | =====1.3.4.1. | + | =====1.3.4.1. Formal Models : A Sketch===== |
| − | =====1.3.4.2. | + | =====1.3.4.2. Sign Relations : A Primer===== |
| − | =====1.3.4.3. | + | =====1.3.4.3. Semiotic Equivalence Relations===== |
| − | =====1.3.4.4. | + | =====1.3.4.4. Graphical Representations===== |
| − | =====1.3.4.5. | + | =====1.3.4.5. Taking Stock===== |
| − | =====1.3.4.6. | + | =====1.3.4.6. The "Meta" Question===== |
| − | =====1.3.4.7. | + | =====1.3.4.7. Iconic Signs===== |
| − | =====1.3.4.8. | + | =====1.3.4.8. The Conflict of Interpretations===== |
| − | =====1.3.4.9. | + | =====1.3.4.9. Indexical Signs===== |
| − | =====1.3.4.10. | + | =====1.3.4.10. Sundry Problems===== |
| − | =====1.3.4.11. | + | =====1.3.4.11. Review and Prospect===== |
| − | =====1.3.4.12. | + | =====1.3.4.12. Objective Plans and Levels===== |
| − | =====1.3.4.13. | + | =====1.3.4.13. Formalization of OF : Objective Levels===== |
| − | =====1.3.4.14. | + | =====1.3.4.14. Application of OF : Generic Level===== |
| − | =====1.3.4.15. | + | =====1.3.4.15. Application of OF : Motive Level===== |
| − | =====1.3.4.16. | + | =====1.3.4.16. The Integration of Frameworks===== |
| − | =====1.3.4.17. | + | =====1.3.4.17. Recapitulation : A Brush with Symbols===== |
| − | =====1.3.4.18. | + | =====1.3.4.18. C'est Moi===== |
| − | =====1.3.4.19. | + | =====1.3.4.19. Entr'acte===== |
| − | ====1.3.5. | + | ====1.3.5. Discussion of Formalization : Specific Objects==== |
| − | =====1.3.5.1. | + | =====1.3.5.1. The Will to Form===== |
| − | =====1.3.5.2. | + | =====1.3.5.2. The Forms of Reasoning===== |
| − | =====1.3.5.3. | + | =====1.3.5.3. A Fork in the Road===== |
| − | =====1.3.5.4. | + | =====1.3.5.4. A Forged Bond===== |
| − | =====1.3.5.5. | + | =====1.3.5.5. A Formal Account===== |
| − | =====1.3.5.6. | + | =====1.3.5.6. Analogs, Icons, Models, Surrogates===== |
| − | =====1.3.5.7. | + | =====1.3.5.7. Steps and Tests of Formalization===== |
| − | =====1.3.5.8. | + | =====1.3.5.8. The Referee===== |
| − | =====1.3.5.9. | + | =====1.3.5.9. Partial Formalizations===== |
| − | =====1.3.5.10. | + | =====1.3.5.10. A Formal Utility===== |
| − | =====1.3.5.11. | + | =====1.3.5.11. A Formal Aesthetic===== |
| − | =====1.3.5.12. | + | =====1.3.5.12. A Formal Apology===== |
| − | =====1.3.5.13. | + | =====1.3.5.13. A Formal Suspicion===== |
| − | =====1.3.5.14. | + | =====1.3.5.14. The Double Aspect of Concepts===== |
| − | =====1.3.5.15. | + | =====1.3.5.15. A Formal Permission===== |
| − | =====1.3.5.16. | + | =====1.3.5.16. A Formal Invention===== |
| − | ====1.3.6. | + | ====1.3.6. Recursion in Perpetuity==== |
| − | ====1.3.7. | + | ====1.3.7. Processus, Regressus, Progressus==== |
| − | ====1.3.8. | + | ====1.3.8. Rondeau : Tempo di Menuetto==== |
| − | ==2. | + | ==2. Part 2== |
| − | ===2.1. | + | ===2.1. Reconnaissance=== |
| − | ====2.1.1. | + | ====2.1.1. The Informal Context==== |
| − | ====2.1.2. | + | ====2.1.2. The Epitext==== |
| − | ====2.1.3. | + | ====2.1.3. The Formative Tension==== |
| − | ===2.2. | + | ===2.2. Recurring Themes=== |
| − | ====2.2.1. | + | ====2.2.1. Preliminary Notions==== |
| − | ====2.2.2. | + | ====2.2.2. Intermediary Notions==== |
| − | ====2.2.3. | + | ====2.2.3. Propositions and Sentences==== |
| − | ====2.2.4. | + | ====2.2.4. Empirical Types and Rational Types==== |
| − | ====2.2.5. | + | ====2.2.5. Articulate Sentences==== |
| − | ====2.2.6. | + | ====2.2.6. Stretching Principles==== |
| − | ====2.2.7. | + | ====2.2.7. Stretching Operations==== |
| − | ===2.3. | + | ===2.3. The Cactus Patch=== |
| − | ====2.3.1. | + | ====2.3.1. The Cactus Language : Syntax==== |
| − | =====2.3.1.1. | + | =====2.3.1.1. Grammar 1===== |
| − | =====2.3.1.2. | + | =====2.3.1.2. Grammar 2===== |
| − | =====2.3.1.3. | + | =====2.3.1.3. Grammar 3===== |
| − | =====2.3.1.4. | + | =====2.3.1.4. Grammar 4===== |
| − | =====2.3.1.5. | + | =====2.3.1.5. Grammar 5===== |
| − | =====2.3.1.6. | + | =====2.3.1.6. Grammar 6===== |
| − | ====2.3.2. | + | ====2.3.2. Generalities About Formal Grammars==== |
| − | ====2.3.3. | + | ====2.3.3. The Cactus Language : Stylistics==== |
| − | ====2.3.4. | + | ====2.3.4. The Cactus Language : Mechanics==== |
| − | ====2.3.5. | + | ====2.3.5. The Cactus Language : Semantics==== |
====2.3.6. Stretching Exercises==== | ====2.3.6. Stretching Exercises==== | ||
| − | ===2.4. | + | ===2.4. Syntactic Transformations=== |
| − | ====2.4.1. | + | ====2.4.1. Syntactic Transformation Rules==== |
| − | ====2.4.2. | + | ====2.4.2. Derived Equivalence Relations==== |
| − | ====2.4.3. | + | ====2.4.3. Digression on Derived Relations==== |
| − | ==3. | + | ==3. Part 3== |
| − | ===3.1. | + | ===3.1. Outlook of the Project : All Ways Lead to Inquiry=== |
| − | ====3.1.1. | + | ====3.1.1. The Matrix of Inquiry==== |
| − | =====3.1.1.1. | + | =====3.1.1.1. Inquiry as Conduct===== |
| − | =====3.1.1.2. | + | =====3.1.1.2. Types of Conduct===== |
| − | =====3.1.1.3. | + | =====3.1.1.3. Perils of Inquiry===== |
| − | =====3.1.1.4. | + | =====3.1.1.4. Forms of Relations===== |
| − | =====3.1.1.5. | + | =====3.1.1.5. Models of Inquiry===== |
| − | ====3.1.2. | + | ====3.1.2. The Moment of Inquiry==== |
| − | ====3.1.3. | + | ====3.1.3. The Modes of Inquiry==== |
| − | =====3.1.3.1. | + | =====3.1.3.1. Deductive Reasoning===== |
| − | =====3.1.3.2. | + | =====3.1.3.2. Inductive Reasoning===== |
| − | =====3.1.3.3. | + | =====3.1.3.3. Abductive Reasoning===== |
| − | =====3.1.3.4. | + | =====3.1.3.4. Analogical Reasoning===== |
| − | ===3.2. | + | ===3.2. Obstacles to the Project : In the Way of Inquiry=== |
| − | ====3.2.1. | + | ====3.2.1. The Initial Unpleasantness==== |
| − | ====3.2.2. | + | ====3.2.2. The Justification Trap==== |
| − | ====3.2.3. | + | ====3.2.3. A Formal Apology==== |
| − | =====3.2.3.1. | + | =====3.2.3.1. Category Double-Takes===== |
| − | =====3.2.3.2. | + | =====3.2.3.2. Conceptual Extensions===== |
| − | =====3.2.3.3. | + | =====3.2.3.3. Explosional Recombinations===== |
| − | =====3.2.3.4. | + | =====3.2.3.4. Interpretive Frameworks===== |
| − | ====3.2.4. | + | ====3.2.4. A Material Exigency==== |
| − | ====3.2.5. | + | ====3.2.5. A reconciliation of Accounts==== |
| − | ====3.2.6. | + | ====3.2.6. Objections to Reflective Inquiry==== |
| − | ====3.2.7. | + | ====3.2.7. Empirical Considerations==== |
| − | ====3.2.8. | + | ====3.2.8. Computational Considerations==== |
| − | =====3.2.8.1. | + | =====3.2.8.1. A Form of Recursion===== |
| − | =====3.2.8.2. | + | =====3.2.8.2. A Power of Abstraction===== |
==Appendices== | ==Appendices== | ||
Revision as of 20:46, 15 September 2010
• Contents • Part 1 • Part 2 • Part 3 • Part 4 • Appendices • References • Document History •
|
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
• Contents • Part 1 • Part 2 • Part 3 • Part 4 • Appendices • References • Document History •
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