Chapter I: Front Matter

THE

PHILOSOPHY

OF

MATHEMATICS.

THE SCIENCE OF MATHEMATICS.
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ABSTRACT MATHEMATICS. CONCRETE MATHEMATICS.
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| +-------+------+
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ANALYSIS; _or_, _The Calculus_. GEOMETRY. MECHANICS.
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+-------+----------+ +-------+---------+
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=Ordinary =Transcendental =Synthetic= =Analytic=
Analysis=; Analysis=; _or Special_ _or General_
_or_, _Calculus _or_, _Calculus =Geometry=. =Geometry=.
of Direct of Indirect | |
Functions_. Functions_. | |
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+--+--+ +-----+--+ +----+----+ +---+---+
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| Algebra. | Calculus | Algebraic. | Of three
| | of | Trigonometry. | dimensions.
| | Variations. | |
| | | |
Arithmetic. Differential Graphical. Of two
and Integral Descriptive dimensions.
Calculus. Geometry.

THE PHILOSOPHY OF MATHEMATICS;

TRANSLATED FROM THE COURS DE PHILOSOPHIE POSITIVE OF AUGUSTE COMTE, BY W. M. GILLESPIE, PROFESSOR OF CIVIL ENGINEERING & ADJ. PROF. OF MATHEMATICS IN UNION COLLEGE.

NEW YORK: HARPER & BROTHERS, PUBLISHERS, 82 CLIFF STREET 1851.

Entered, according to Act of Congress, in the year one thousand eight hundred and fifty-one, by

HARPER & BROTHERS.

in the Clerk's Office of the District Court of the Southern District of New York.