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{{DISPLAYTITLE:Inquiry Driven Systems}}
 
{{DISPLAYTITLE:Inquiry Driven Systems}}
 +
'''Author: [[User:Jon Awbrey|Jon Awbrey]]'''
 +
 +
----
 +
<div align="center">
 +
&bull; [[Inquiry Driven Systems|Contents]]
 +
&bull; [[Inquiry Driven Systems : Part 1|Part 1]]
 +
&bull; [[Inquiry Driven Systems : Part 2|Part 2]]
 +
&bull; [[Inquiry Driven Systems : Part 3|Part 3]]
 +
&bull; [[Inquiry Driven Systems : Part 4|Part 4]]
 +
&bull; [[Inquiry Driven Systems : Part 5|Part 5]]
 +
&bull; [[Inquiry Driven Systems : Part 6|Part 6]]
 +
&bull; [[Inquiry Driven Systems : Part 7|Part 7]]
 +
&bull; [[Inquiry Driven Systems : Part 8|Part 8]]
 +
&bull; [[Inquiry Driven Systems : Appendices|Appendices]]
 +
&bull; [[Inquiry Driven Systems : References|References]]
 +
&bull; [[Inquiry Driven Systems : Document History|Document History]]
 +
&bull;
 +
</div>
 +
----
 +
 
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   −
----
+
==Introduction==
−
<div align="center" ><big>
+
===Outline of the Project : Inquiry Into Inquiry===
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems|Contents]]
+
====Problem====
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 1|Part 1]]
+
====Method====
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 2|Part 2]]
+
=====The Paradigmatic and Process-Analytic Phase=====
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 3|Part 3]]
+
=====The Paraphrastic and Faculty-Synthetic Phase=====
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : References|References]]
+
=====Reprise of Methods=====
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Document History|Document History]]
+
====Criterion====
−
&bull;
+
====Application====
−
</big></div>
+
===Onus of the Project : No Way But Inquiry===
−
----
+
====A Modulating Prelude====
−
 
+
====A Fugitive Canon====
−
<div class="nonumtoc">__TOC__</div>
+
===Option of the Project : A Way Up To Inquiry===
−
 
+
====Initial Analysis of Inquiry : Allegro Aperto====
−
==1.  Introduction==
+
====Discussion of Discussion====
−
 
+
====Discussion of Formalization : General Topics====
−
===1.1.  Outline of the Project : Inquiry Into Inquiry===
+
=====A Formal Charge=====
−
 
+
=====A Formalization of Formalization?=====
−
====1.1.1.  Problem====
+
=====A Formalization of Discussion?=====
−
 
+
=====A Concept of Formalization=====
−
====1.1.2.  Method====
+
=====A Formal Approach=====
−
 
+
=====A Formal Development=====
−
=====1.1.2.1.  The Paradigmatic and Process-Analytic Phase=====
+
=====A Formal Persuasion=====
−
 
+
====Discussion of Formalization : Concrete Examples====
−
=====1.1.2.2.  The Paraphrastic and Faculty-Synthetic Phase=====
+
=====Formal Models : A Sketch=====
−
 
+
=====Sign Relations : A Primer=====
−
=====1.1.2.3.  Reprise of Methods=====
+
=====Semiotic Equivalence Relations=====
−
 
+
=====Graphical Representations=====
−
====1.1.3.  Criterion====
+
=====Taking Stock=====
−
 
+
=====The “Meta” Question=====
−
====1.1.4.  Application====
+
=====Iconic Signs=====
−
 
+
=====The Conflict of Interpretations=====
−
===1.2.  Onus of the Project : No Way But Inquiry===
+
=====Indexical Signs=====
−
 
+
=====Sundry Problems=====
−
====1.2.1.  A Modulating Prelude====
+
=====Review and Prospect=====
−
 
+
=====Objective Plans and Levels=====
−
====1.2.2.  A Fugitive Canon====
+
=====Formalization of OF : Objective Levels=====
−
 
+
=====Application of OF : Generic Level=====
−
===1.3.  Option of the Project : A Way Up To Inquiry===
+
=====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====
   −
====1.3.1.  Initial Analysis of Inquiry : Allegro Aperto====
+
==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====
   −
====1.3.2.  Discussion of Discussion====
+
==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====
   −
====1.3.3.  Discussion of Formalization : General Topics====
+
==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====
   −
=====1.3.3.1. A Formal Charge=====
+
==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====
   −
=====1.3.3.2.  A Formalization of Formalization?=====
+
==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===
   −
=====1.3.3.3.  A Formalization of Discussion?=====
+
==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====
   −
=====1.3.3.4.  A Concept of Formalization=====
+
==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====
   −
=====1.3.3.5.  A Formal Approach=====
+
==Appendices==
 +
===Logical Translation Rule 1===
 +
===Geometric Translation Rule 1===
 +
===Logical Translation Rule 2===
 +
===Geometric Translation Rule 2===
   −
=====1.3.3.6.  A Formal Development=====
+
==References==
   −
=====1.3.3.7.  A Formal Persuasion=====
+
==Document History==
−
 
  −
====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====
  −
 
  −
=====1.3.5.2.  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====
  −
 
  −
======Grammar 1======
  −
 
  −
======Grammar 2======
  −
 
  −
======Grammar 3======
  −
 
  −
======Grammar 4======
  −
 
  −
======Grammar 5======
  −
 
  −
====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.  Outlook of the Project : All Ways Lead to Inquiry==
  −
 
  −
===3.1.  The Matrix of Inquiry===
      
----
 
----
−
<div align="center" ><big>
+
<div align="center">
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems|Contents]]
+
&bull; [[Inquiry Driven Systems|Contents]]
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 1|Part 1]]
+
&bull; [[Inquiry Driven Systems : Part 1|Part 1]]
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 2|Part 2]]
+
&bull; [[Inquiry Driven Systems : Part 2|Part 2]]
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 3|Part 3]]
+
&bull; [[Inquiry Driven Systems : Part 3|Part 3]]
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : References|References]]
+
&bull; [[Inquiry Driven Systems : Part 4|Part 4]]
−
&bull; [[Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Document History|Document History]]
+
&bull; [[Inquiry Driven Systems : Part 5|Part 5]]
 +
&bull; [[Inquiry Driven Systems : Part 6|Part 6]]
 +
&bull; [[Inquiry Driven Systems : Part 7|Part 7]]
 +
&bull; [[Inquiry Driven Systems : Part 8|Part 8]]
 +
&bull; [[Inquiry Driven Systems : Appendices|Appendices]]
 +
&bull; [[Inquiry Driven Systems : References|References]]
 +
&bull; [[Inquiry Driven Systems : Document History|Document History]]
 
&bull;
 
&bull;
−
</big></div>
+
</div>
 
----
 
----
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<br><sharethis />
      
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