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The Basic Writings of Josiah Royce, Volume IILogic, Loyalty, and Community$
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John J. McDermott

Print publication date: 2005

Print ISBN-13: 9780823224845

Published to Fordham Scholarship Online: May 2019

DOI: 10.5422/fordham/9780823224845.001.0001

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[Types of Order]

[Types of Order]

27 Types of Order
The Basic Writings of Josiah Royce, Volume II
John J. McDermott
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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