Barry Smith, Editor

 

 

Parts and Moments

Studies in Logic and Formal Ontology

 

 

Munich and Vienna: Philosophia Verlag, 1982

 

 

Table of Contents

 

Preface                                                                                                                                              

 

Barry Smith and Kevin Mulligan          

Pieces of a Theory   

§ 1 From Aristotle to Brentano                                                                                                  

§ 2 Stumpf’s Theory of Psychological Parts                                                                   

§ 3 Husserl’s 3rd Logical Investigation: Formal Ontology of the Part-Whole Relation      

§ 4 The Theory of Material A priori Structures; Phenomenology and Formal Ontology  

§ 5 The Influence of the Logical Investigations on Logical Grammar and Linguistics: Husserl and Leśniewski

§ 6 Further Developments: Kohler, Lewin, Rausch                                                         

Notes                                                                                                                            

 

Peter M. Simons         

Three Essays in Formal Ontology

 

Prefatory Note                                                                                                                                    

 

I. The Formalisation of Husserl’s Theory of Wholes and Parts    

§ 1 Introduction                                                                                                                      

§ 2 Problems of Formalisation                                                                                    

§ 3 Husserl’s Basic Concepts: Whole and Foundation                                                  

§ 4 Dependence                                                                                                          

§ 5 Husserl’s Six Theorems                                                                                                     

§ 6 Applications                                                                                                                      

§ 7 Relations and Foundation                                                                                      

Notes                                                                                                                         

 

II. Number and Manifolds   

§ 1 Introduction: The Philosophy of Number                                                                

§ 2 Frege’s Criticisms of Manifold Theories                                                                 

§ 3 Plural Terms and their Designata: Manifolds                                                                       

§ 4 Against the Group Theory of Number                                                                                

§ 5 Counting and the Mereological Properties of Aggregates                                        

§ 6 One and Zero                                                                                                                

§ 7 There are no Second-Order Manifolds                                                                              

Notes                                                                                                                                     

 

III. Plural Reference and Set Theory                                                                                             

§ 1 Classes as Many and as One: Historical Remarks                                                  

§ 2 Linguistic Phenomenology of Plural Reference                                                                    

§ 3 Problems of Formalisation                                                                                     

§ 4 Axiomatisation of Manifold Theory                                                                                    

§ 5 Some Comparisons                                                                                                           

§ 6 Sets as Representatives of Classes                                                                         

§ 7 Concluding Remark                                                                                                         

Notes                                                                                                                                   

Bibliography                                                                                                                            

 

Eugenic Ginsberg

On the Concepts of Existential Dependence and Independence

Editorial Note by P M. Simons                                                                                                

§ 1 Analysis of Stumpf’s Definitions                                                                             

§ 2 Analysis of Hofler’s Definitions                                                                                          

§ 3 Analysis of Twardowski’s Definitions                                                                                

§ 4 Husserl’s Definitions                                                                                                          

§ 5 Analysis of Husserl’s Definition of Dependence – Application to Objects                

§ 6 Analysis of Husserl’s Definitions of Dependence in Application to Parts                  

§ 7 Analysis of Another Husserlian Definition of Dependence                                      

§ 8 Analysis of Husserlian Definitions of Independence                                                 

§ 9 An Attempt to Define Dependence and Independence                                                       

§ 10 Possible Classifications of Dependence and Independence                                               

§ 11 Elements of the Relation of Dependence                                                            

§ 12 Conclusion                                                                                                                      

Notes                                                                                                                                     

Bibliography                                                                                                                            

 

Barry Smith

Introduction to Adolf Reinach “On the Theory of the Negative Judgment”

§ 1 Kant and Hume on the Material A Priori                                                              

§ 2 The Philosophy of Sachverhalte                                                                           

§ 3 The Theory of Social Acts                                                                                     

§ 4 On the Nexus of Representation                                                                            

Notes                                                                                                                                   

 

Adolf Reinach

On the Theory of the Negative Judgment

I.       Investigations of Judgment in General

§ 1 The Ambiguity of the Term ‘Judgment’                                                                  

§ 2 The Sphere of Conviction and the Sphere of Assertion                                           

§ 3 Acts of Presentation and Acts of Meaning                                                              

§ 4 The Independence of Meaning and Intuition                                                                       

§ 5 Judgment and Presentation (Critique of Brentano)                                                  

II.    States of Affairs

§ 6 Positive and Negative Position-Takings                                                                              

§ 7 The Objectual Correlates of Judgments: Judgments and Relations                           

§ 8 States of Affairs as Objectual Correlates of Assertion and Belief                             

§ 9 Further Characteristics of States of Affairs                                                            

§ 10 The Apprehension of States of Affairs: Judgment vs. Apprehension                                 

§ 11 States of Affairs and Relations                                                                                         

§ 12 On lmpersonalia                                                                                               

§ 13 Negative Conviction                                                                                                        

III. Negative States of Affairs and the Sphere of Assertion

§ 14 The Character of the Assertive Sphere: Simple and Polemical Negative Judgments           

§ 15 Cognitive Functions: ‘And’, ‘Hence and ‘Not’                                               

§ 16 The Moment of Assertion                                                                                                

§ 17 The Pure Logic of Emphasis                                                                                            

§ 18 Sachverhaltselemente (The Elements of States of Affairs)                                     

IV. The Locus of Negation

§ 19 Subjective and Objective Aspects of Negative Judgments                                                

§ 20 Negation of the Predicate and of the Copula: The Doctrine of Infinite Judgments   

§ 21 Concluding Remarks                                                                                                       

Notes                                                                                                                                                

Bibliography                                                                                                                                        

 

Dallas Willard

Wholes, Parts and the Objectivity of Knowledge

§ 1 Ontology Presupposed in Epistemology                                                                 

§ 2 Three Aspects of the Objectivity of Knowledge                                                     

§ 3 Husserl’s First Problem: The Objectivity of Formal Methods in Arithmetic           

§ 4 The Problem Generalised                                                                                     

§ 5 Transcendence Becomes the Main Issue                                                                

§ 6 The Beginnings of a Solution                                                                                              

§ 7 Wholes, Parts and Properties in the Objectivity of Knowledge                           

Notes                                                                                                                                   

Bibliography                                                                                                                           

 

Wolfgang Kunne Criteria of Abstractness.

The Ontologies of Husserl, Frege and Strawson against the Background of Classical Metaphysics     

§ 1 Non-Perceptibility (First Platonic Demarcation-Proposal)                                      

§ 2 Unchangeability (Second Platonic Demarcation-Proposal)                                      

§ 3 Non-Reality (Frege’s Criterion and the Category of Individual Moments)               

§ 4 Individual Moments and Properties: Husserl’s Aristotelianism                                             

§ 5 Sense-Determinate Singular Terms (Strawson’s Demarcation-Proposal)             

Notes                                                                                                                                    

Bibliography                                                                                                                            

 

Gilbert T. Null and Roger A . Simons

Manifolds, Concepts and Moment-Abstracta        

§ 1       Introduction                                                                                                                

§ 2       Isomorphism Types                                                                                                     

§ 3       Manifolds                                                                                                                

§ 4       Further Aspects of Manifold Theory                                                                

§ 5       Interpreting Whole-Part Notions in Manifold Theory                                        

§ 6       Ontology and Epistemological Interpretations of Manifold Theory                  

Bibliography                                                                                                                            

 

Barry Smith     

Annotated Bibliography of Writings on Part-Whole Relations since Brentano                

 

Index