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
§ 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