User talk:Jon Awbrey/IDS

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Inquiry Driven Systems (07 Apr 2003)
1.  Research Proposal
1.1  Outline of the Project : Inquiry Driven Systems
1.1.1  Problem
1.1.2  Method  The Paradigmatic and Process-Analytic Phase.  The Paraphrastic and Faculty-Synthetic Phase.  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  A Formal Charge  A Formalization of Formalization?  A Formalization of Discussion?  A Concept of Formalization  A Formal Approach  A Formal Development  A Formal Persuasion
1.3.4  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
1.3.5  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  Puck, the Ref  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
1.3.6  Recursion in Perpetuity
1.3.7  Processus, Regressus, Progressus
1.3.8  Rondeau : Tempo di Menuetto
1.3.9  Reconnaissance  The Informal Context  The Epitext  The Formative Tension
1.3.10  Recurring Themes  Preliminary Notions  Intermediary Notions  Propositions and Sentences  Empirical Types and Rational Types  Articulate Sentences  Stretching Principles  Stretching Operations  The Cactus Patch  The Cactus Language : Syntax  The Cactus Language : Stylistics  The Cactus Language : Mechanics  The Cactus Language : Semantics  Stretching Exercises  Syntactic Transformations  Derived Equivalence Relations  Digression on Derived Relations

1.4  Outlook of the Project : All Ways Lead to Inquiry
1.4.1  The Matrix of Inquiry  Inquiry as Conduct  Types of Conduct  Perils of Inquiry  Forms of Relations  Models of Inquiry
1.4.2  The Moment of Inquiry
1.4.3  The Modes of Inquiry  Deductive Reasoning  Inductive Reasoning  Abductive Reasoning  Analogical Reasoning


1.5  Obstacles to the Project : In the Way of Inquiry
1.5.1  The Initial Unpleasantness
1.5.2  The Justification Trap
1.5.3  A Formal Apology  Category Double-Takes  Conceptual Extensions  Explosional Recombinations  Interpretive Frameworks
1.5.4  A Material Exigency
1.5.5  A Reconciliation of Accounts
1.5.6  Objections to Reflexive Inquiry
1.5.7  Empirical Considerations
1.5.8  Computational Considerations  A Form of Recursion  A Power of Abstraction

1.6  Orientation of the Project : A Way Into Inquiry
1.6.1  Initial Description of Inquiry
1.6.2  Terms of Analysis  Digression on Signs  Empirical Status of ID
1.6.3  Expansion of Terms  Agency  Abstraction  Analogy  Accuracy  Authenticity
1.6.4  Anchoring Terms in Phenomena  A Mistaken ID  Phenomenology of Doubt  Modalities of Knowledge
1.6.5  Sets, Systems, and Substantive Agents
1.6.6  Interpretive Systems  Syntactic Systems  Semantic Systems  Pragmatic Systems
1.6.7  Inquiry Driven Systems  A Definition of Inquiry  The Faculty of Inquiry  A Definition of Determination  A Definition of Definition

1.7  Organization of the Project : A Way Through Inquiry
1.7.1  The Problem : Inquiry Found as an Object of Study
1.7.2  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
1.7.3  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.

1.8  Objectives of the Project : Inquiry All the Way
1.8.1  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.
1.8.2  Instrumental Objective
1.8.3  Coordination of Objectives
1.8.4  Recapitulation : Da Capo, Al Segno

2.  Discussion of Inquiry

2.1  Approaches to Inquiry
2.1.1  The Classical Framework : Syllogistic Approaches
2.1.2  The Pragmatic Framework : Sign-Theoretic Approaches
2.1.3  The Dynamical Framework : System-Theoretic Approaches  Inquiry and Computation  Inquiry Driven Systems

2.2  The Context of Inquiry
2.2.1  The Field of Observation
2.2.2  The Problem of Reflection
2.2.3  The Problem of Reconstruction
2.2.4  The Trivializing of Integration
2.2.5  Tensions in the Field of Observation
2.2.6  Problems of Representation and Communication

2.3  The Conduct of Inquiry
2.3.1  Introduction
2.3.2  The Types of Reasoning  Deduction  Induction  Abduction
2.3.3  Hybrid Types of Inference  Analogy  Inquiry
2.3.4  Details of Induction  Learning  Transfer  Testing
2.3.5  The Stages of Inquiry

3.  The Medium and Its Message

3.1  Reflective Expression
3.1.1  Casual Reflection  Ostensibly Recursive Texts  Analogical Recursion
3.1.2  Conscious Reflection  The Signal Moment  The Symbolic Object  The Endeavor to Communicate  The Medium of Communication  The Ark of Types : The Order of Things to Come.  The Epitext  The Context of Interpretation  The Formative Tension  The Vehicle of Communication : Reflection on the Scene, Reflection on the Self.  (7)  (6)  Recursions : Possible, Actual, Necessary  Ostensibly Recursive Texts  (3)  The Freedom of Interpretation  The Eternal Return  (1)  Information in Formation  Reflectively Indexical Texts  (4)  (5)  (6)  (7)  (8)  The Discursive Universe  (7)  (6)  (5)  (4)  (3)  (2)  (1)

3.2  Reflective Inquiry
3.2.1  Integrity and Unity of Inquiry
3.2.2  Apparitions and Allegations
3.2.3  A Reflective Heuristic
3.2.4  Either/Or : A Sense of Absence
3.2.5  Apparent, Occasional, and Practical Necessity
3.2.6  Approaches, Aspects, Exposures, Fronts
3.2.7  Synthetic A Priori Truths
3.2.8  Priorisms of Normative Sciences
3.2.9  Principle of Rational Action
3.2.10  The Pragmatic Cosmos
3.2.11  Reflective Interpretive Frameworks  Principals Versus Principles  The Initial Description of Inquiry  An Early Description of Interpretation  Descriptions of the Mind  Of Signs and the Mind  Questions of Justification  The Experience of Satisfaction  An Organizational Difficulty  Pragmatic Certainties  Problems and Methods

3.3  Reflection on Reflection

3.4  Reflective Interpretive Frameworks
3.4.1  The Phenomenology of Reflection
3.4.2  A Candid Point of View
3.4.3  A Projective Point of View
3.4.4  A Formal Point of View
3.4.5  Three Styles of Linguistic Usage
3.4.6  Basic Notions of Group Theory
3.4.7  Basic Notions of Formal Language Theory
3.4.8  A Perspective on Computation
3.4.9  Higher Order Sign Relations : Introduction
3.4.10  Higher Order Sign Relations : Examples
3.4.11  Higher Order Sign Relations : Application
3.4.12  Issue 1 : The Status of Signs
3.4.13  Issue 2 : The Status of Sets
3.4.14  Issue 3 : The Status of Variables
3.4.15  Propositional Calculus
3.4.16  Recursive Aspects
3.4.17  Patterns of Self-Reference
3.4.18  Practical Intuitions
3.4.19  Examples of Self-Reference
3.4.20  Three Views of Systems
3.4.21  Building Bridges Between Representations
3.4.22  Extensional Representations of Sign Relations
3.4.23  Intensional Representations of Sign Relations
3.4.24  Literal Intensional Representations
3.4.25  Analytic Intensional Representations
3.4.26  Differential Logic and Directed Graphs
3.4.27  Differential Logic and Group Operations
3.4.28  The Bridge : From Obstruction to Opportunity
3.4.29  Projects of Representation
3.4.30  Connected, Integrated, Reflective Symbols
3.4.31  Generic Orders of Relations
3.4.32  Partiality : Selective Operations
3.4.33  Sign Relational Complexes
3.4.34  Set-Theoretic Constructions
3.4.35  Reducibility of Sign Relations
3.4.36  Irreducibly Triadic Relations
3.4.37  Propositional Types
3.4.38  Considering the Source
3.4.39  Prospective Indices : Pointers to Future Work
3.4.40  Dynamic and Evaluative Frameworks
3.4.41  Elective and Motive Forces
3.4.42  Sign Processes : A Start
3.4.43  Reflective Extensions
3.4.44  Reflections on Closure
3.4.45  Intelligence => Critical Reflection
3.4.46  Looking Ahead
3.4.47  Mutually Intelligible Codes
3.4.48  Discourse Analysis : Ways and Means
3.4.49  Combinations of Sign Relations
3.4.50  Revisiting the Source

3.5  Divertimento : Eternity in Love with the Creatures of Time
3.5.1  Reflections on the Presentation of Examples
3.5.2  Searching for Parameters
3.5.3  Defect Analysis
3.5.4  The Pragmatic Critique
3.5.5  Pragmatic Operating Notions
3.5.6  Defects of Presentation
3.5.7  Dues to Process
3.5.8  Duties to Purpose

3.6  Computational Design Philosophy
3.6.1  Intentional Objects and Attitudes
3.6.2  Imperfect Design and Persistent Error
3.6.3  Propositional Reasoning About Relations
3.6.4  Dynamic and Evaluative Frameworks
3.6.5  Discussion of Examples
3.6.6  Information and Inquiry

4.  Overview of the Domain : Interpretive Inquiry

4.1  Interpretive Bearings : Conceptual and Descriptive Frameworks
4.1.1  Catwalks : Flexible Frameworks and Peripatetic Categories  Eponymous Ancestors : The Precursors of Abstraction?  Reticles : Interpretive Flexibility as a Design Issue.
4.1.2  Heuristic Inclinations and Regulative Principles

4.2  Features of Inquiry Driven Systems
4.2.1  The Pragmatic Theory of Signs  Sign Relations  Types of Signs
4.2.2  The Pragmatic Theory of Inquiry  Abduction  Deduction  Induction

4.3  Examples of Inquiry Driven Systems
4.3.1  "Index" :  A Program for Learning Formal Languages
4.3.2  "Study" :  A Program for Reasoning with Propositions

5.  Discussion and Development of Objectives
5.1  Objective 1a : Propositions as Types
5.2  Objective 1b : Proof Styles and Developments
5.3  Objective 1c : Interpretation and Authority