Inquiry Driven Systems
Author: Jon Awbrey
• Contents • Part 1 • Part 2 • Part 3 • Part 4 • Part 5 • Part 6 • Part 7 • Part 8 • Appendices • References • Document History •
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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] | |
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
Part 2
Reconnaissance
The Informal Context
The Epitext
The Formative Tension
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
Grammar 1
Grammar 2
Grammar 3
Grammar 4
Grammar 5
Grammar 6
Generalities About Formal Grammars
The Cactus Language : Stylistics
The Cactus Language : Mechanics
The Cactus Language : Semantics
Stretching Exercises
Syntactic Transformations
Syntactic Transformation Rules
Derived Equivalence Relations
Digression on Derived Relations
Part 3
Outlook of the Project : All Ways Lead to Inquiry
The Matrix of Inquiry
Inquiry as Conduct
Types of Conduct
Perils of Inquiry
Forms of Relations
Models of Inquiry
The Moment of Inquiry
The Modes of Inquiry
Deductive Reasoning
Inductive Reasoning
Abductive Reasoning
Analogical Reasoning
Obstacles to the Project : In the Way of Inquiry
The Initial Unpleasantness
The Justification Trap
A Formal Apology
Category Double-Takes
Conceptual Extensions
Explosional Recombinations
Interpretive Frameworks
A Material Exigency
A Reconciliation of Accounts
Objections to Reflective Inquiry
Empirical Considerations
Computational Considerations
A Form of Recursion
A Power of Abstraction
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
Discussion of Inquiry
Approaches to Inquiry
The Classical Framework : Syllogistic Approaches
The Pragmatic Framework : Sign-Theoretic Approaches
The Dynamical Framework : System-Theoretic Approaches
Inquiry and Computation
Inquiry Driven Systems
The Context of Inquiry
The Field of Observation
The Problem of Reflection
The Problem of Reconstruction
The Trivializing of Integration
Tensions in the Field of Observation
Problems of Representation and Communication
The Conduct of Inquiry
Introduction
The Types of Reasoning
Deduction
Induction
Abduction
Hybrid Types of Inference
Analogy
Inquiry
Details of Induction
Learning
Transfer
Testing
The Stages of Inquiry
Interlude : The Medium and Its Message
Reflective Expression
Casual Reflection
Ostensibly Recursive Texts
Analogical Recursion
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)
Reflective Inquiry
Integrity and Unity of Inquiry
Apparitions and Allegations
A Reflective Heuristic
Either/Or : A Sense of Absence
Apparent, Occasional, and Practical Necessity
Approaches, Aspects, Exposures, Fronts
Synthetic A Priori Truths
Priorisms of Normative Sciences
Principle of Rational Action
The Pragmatic Cosmos
Reflective Interpretive Frameworks
Principals vs. Principals
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
Reflection on Reflection
Looking Back
The Light in the Clearing
The Face in the Mirror
Points Forward
Reflective Interpretive Frameworks
The Phenomenology of Reflection
A Candid Point of View
A Projective Point of View
A Formal Point of View
Three Styles of Linguistic Usage
Basic Notions of Group Theory
Basic Notions of Formal Language Theory
A Perspective on Computation
Higher Order Sign Relations : Introduction
Higher Order Sign Relations : Examples
Higher Order Sign Relations : Application
Issue 1. The Status of Signs
Issue 2. The Status of Sets
Issue 3. The Status of Variables
Propositional Calculus
Recursive Aspects
Patterns of Self-Reference
Practical Intuitions
Examples of Self Reference
Three Views of Systems
Building Bridges Between Representations
Extensional Representations of Sign Relations
Intensional Representations of Sign Relations
Literal Intensional Representations
Analytic Intensional Representations
Differential Logic and Directed Graphs
Differential Logic and Group Operations
The Bridge : From Obstruction to Opportunity
Projects of Representation
Connected, Integrated, Reflective Symbols
Relations in General
Partiality : Selective Operations
Sign Relational Complexes
Set-Theoretic Constructions
Reducibility of Sign Relations
Irreducibly Triadic Relations
Propositional Types
Considering the Source
Prospective Indices : Pointers to Future Work
Dynamic and Evaluative Frameworks
Elective and Motive Forces
Sign Processes : A Start
Reflective Extensions
Reflections on Closure
Intelligence => Critical Reflection
Looking Ahead
Mutually Intelligible Codes
Discourse Analysis : Ways and Means
Combinations of Sign Relations
Revisiting the Source
Part 7
Divertimento : Eternity in Love with the Creatures of Time
Reflections on the Presentation of Examples
Searching for Parameters
Defect Analysis
The Pragmatic Critique
Pragmatic Operating Notions
Defects of Presentation
Dues to Process
Duties to Purpose
Computational Design Philosophy
Intentional Objects and Attitudes
Imperfect Design and Persistent Error
Propositional Reasoning About Relations
Dynamic and Evaluative Frameworks
Discussion of Examples
Information and Inquiry
Overview of the Domain : Interpretive Inquiry
Interpretive Bearings : Conceptual and Descriptive Frameworks
Catwalks : Flexible Frameworks and Peripatetic Categories
Eponymous Ancestors : The Precursors of Abstraction?
Reticles : Interpretive Flexibility as a Design Issue
Heuristic Inclinations and Regulative Principles
Features of Inquiry Driven Systems
The Pragmatic Theory of Signs
Sign Relations
Types of Signs
The Pragmatic Theory of Inquiry
Abduction
Deduction
Induction
Examples of Inquiry Driven Systems
“Index” : A Program for Learning Formal Languages
“Study” : A Program for Reasoning with Propositions
Discussion and Development of Objectives
Objective 1a : Propositions as Types
Objective 1b : Proof Styles and Developments
Objective 1c : Interpretation and Authority
Appendices
Logical Translation Rule 1
Geometric Translation Rule 1
Logical Translation Rule 2
Geometric Translation Rule 2
References
Document History
• Contents • Part 1 • Part 2 • Part 3 • Part 4 • Part 5 • Part 6 • Part 7 • Part 8 • Appendices • References • Document History •