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CONTENTS
PART I

THE CONCEPT OF THING AND THE CONCEPT OF RELATION
CHAPTER I

ON THS THEORY OF THE FORMATION OF CONCEPTS
I. New developments in logic.--The concept in Aristotelian logic.--
Purpose and nature of the generic concept.--The problem of
abstraction.--The metaphysical presuppositions of Aristotelian
logic.--The concept of substance in logic and metaphysics 		3
II. The psychological criticism of the concept ( Berkeley).--The psy-
chology of abstraction.--Mill's analysis of mathematical concepts.
--The defect of the psychological theory of abstraction.--The
forms of series.--The place of the thing-concept in the system
of logical relations 		9
III. The negative process of "abstraction."--The mathematical con-
cept and its "concrete universality."--The criticism of the
theories of abstraction.--Objects of the "first" and "second"
orders.--The variety of objective "intentions."--The serial form
and the members of the series 		18
CHAPTER II

THE CONCEPT OF NUMBER
I. The sensationalistic deduction of number.--Frege's foundations of
arithmetic.--The system of arithmetic.--Number and presenta-
tion.--The content of presentation and the act of presentation 		27
II. The logical foundations of the pure concept of number (Dedekind).
--The logic of relations.--The concept of progression.--Number
as ordinal number.--The theories of Helmholtz and Kronecker.--
Criticism of the nominalistic deduction 		35
III. Number and the concept of class.--Russell's theory of cardinal
numbers.--Criticism of "class theories."--The logical definition
of the zero and of unity.--The presupposition of the class con-
cept.--The generic concept and the relational concept 		44
IV. Extension of the concept of number.-- Gauss' theory of the negative
and imaginary numbers.--The irrational numbers.--Dedekind's

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Publication Information: Book Title: Substance and Function and Einstein's Theory of Relativity. Contributors: Ernst Cassirer - author, Marie Collins Swabey - transltr, William Curtis Swabey - transltr. Publisher: Dover Publications. Place of Publication: New York. Publication Year: 1953. Page Number: vii.
    
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