- Title Pages
- Frontispiece
- Dedication
- Epigraph
- Acknowledgements
- Preface to the Fordham University Press Edition
- Preface
- Chronology
- Bibliographic Abbreviations
- Editor’s Note on the Text
- Part VI Logic and Methodology
- 21 Recent Logical Inquiries and Their Psychological Bearings
- 22 The Problem of Truth in the Light of Recent Discussion
- 23 The Mechanical, the Historical, and the Statistical
- 24 Mind
- 25 The Methodology of Science
- 26 Introduction to Poincaré’s Science and Hypothesis
- 27 Types of Order
- Part VII Moral and Religious Experience
- 28 The Problem of Job
- 29 The Philosophy of Loyalty
- 30 Individual Experience and Social Experience as Sources of Religious Insight
- 31 The Religious Mission of Sorrow
- Part VIII Community as Lived
- 32 Provincialism
- 33 Race Questions and Prejudices
- 34 On Certain Limitations of the Thoughtful Public in America
- 35 The Possibility of International Insurance
- 36 The Hope of the Great Community
- Annotated Bibliography of the Published Works of Josiah Royce
- Index
[Types of Order]
[Types of Order]
- Chapter:
- 27 Types of Order
- Source:
- The Basic Writings of Josiah Royce, Volume II
- Author(s):
- John J. McDermott
- Publisher:
- Fordham University Press
This chapter assesses fundamental concepts and order-systems. These order-systems include relations and classes. The foregoing concepts of relation, of relational properties, and of classes have enabled modern mathematicians, and other students of logic, to define in exact terms a surprisingly vast range of order-systems. One “concept,” one “logical entity,” or one “logical constant,” which is of the utmost importance in the whole Theory of Order, is expressed by the term relation. A relation is a character that an object possesses as a member of a collection, and which would not belong to that object were it not such a member. In describing relations and their properties, one has inevitably presupposed the familiar concept of a set or collection, i.e., of a class of objects as already known. Indeed, relations are impossible unless there are also classes.
Keywords: order-systems, relations, classes, relational properties, mathematicians, logic, logical entity, logical constant, Theory of Order
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- Title Pages
- Frontispiece
- Dedication
- Epigraph
- Acknowledgements
- Preface to the Fordham University Press Edition
- Preface
- Chronology
- Bibliographic Abbreviations
- Editor’s Note on the Text
- Part VI Logic and Methodology
- 21 Recent Logical Inquiries and Their Psychological Bearings
- 22 The Problem of Truth in the Light of Recent Discussion
- 23 The Mechanical, the Historical, and the Statistical
- 24 Mind
- 25 The Methodology of Science
- 26 Introduction to Poincaré’s Science and Hypothesis
- 27 Types of Order
- Part VII Moral and Religious Experience
- 28 The Problem of Job
- 29 The Philosophy of Loyalty
- 30 Individual Experience and Social Experience as Sources of Religious Insight
- 31 The Religious Mission of Sorrow
- Part VIII Community as Lived
- 32 Provincialism
- 33 Race Questions and Prejudices
- 34 On Certain Limitations of the Thoughtful Public in America
- 35 The Possibility of International Insurance
- 36 The Hope of the Great Community
- Annotated Bibliography of the Published Works of Josiah Royce
- Index
