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OUTLINES

OF

THEORETICAL LOGIC.

Cambridge:
Printed at the University Press,

FOR MACMILLAN & Co.

London: BELL AND DALDY.
Orford: J. H. AND JAMES PARKER.
Edinburgh: EDMONSTON AND DOUGLAS.
Dublin: WILLIAM ROBERTSON.
Glasgow: JAMES MACLEHOSE.

2 2 73

OUTLINES

OF

THEORETICAL LOGIC.

FOUNDED ON THE NEW ANALYTIC OF

SIR WILLIAM HAMILTON.

Designed for a Text-book in Schools and Colleges.

BY

alement

C. MANSFIELD INGLEBY, M.A.

OF TRINITY COLLEGE, CAMBRIDGE.
TEACHER OF METAPHYSICS AND LOGIC IN THE INDUSTRIAL DEPARTMENT OF THE

BIRMINGHAM AND MIDLAND INSTITUTE.

Cambridge:
MACMILLAN AND Co.

1856.

1

PREFACE.

The following pages are designed to form the basis of class-instruction in the science of Theoretical Logic. As many modern works of this kind are in circulation, a few words may be expected in explanation of the motives which have induced me to give this treatise to the public. The discoveries of Sir William Hamilton, upon which these outlines are mainly founded, do not date further back than 1840, in which year they were first promulgated. Of the treatises which have been published since that date two only profess to embody those discoveries, and those two are not fitted to form the text-book of a lecture-room. All other treatises are deficient in several of the staple subjects of the science, and the majority intrench upon the domains of Language, Rhetoric, and Philosophy. A good textbook is therefore a desideratum. Accordingly, when I commenced my lectures at the Institute, I was thrown entirely on my own resources for the exposition of several important branches of the science; and it was not long before a request was preferred to me by several of my class to print for

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