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Studies and Exercises in Formal Logic (Hardcover)
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Studies and Exercises in Formal Logic (Hardcover)
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In addition to a somewhat detailed exposition of certain portions
of what may be called the book-work of formal logic, the following
pages contain a number of problems worked out in detail and
unsolved problems, by means of which the student may test his
command over logical processes. In the expository portions of Parts
I, II, and III, dealing respectively with terms, propositions, and
syllogisms, the traditional lines are in the main followed, though
with certain modifications; e.g., in the systematisation of
immediate inferences, and in several points of detail in connexion
with the syllogism. For purposes of illustration Euler's diagrams
are employed to a greater extent than is usual in English manuals.
In Part IV, which contains a generalisation of logical processes in
their application to complex inferences, a somewhat new departure
is taken. So far as I am aware this part constitutes the first
systematic attempt that has been made to deal with formal
reasonings of the most complicated character without the aid of
mathematical or other symbols of operation, and without abandoning
the ordinary non-equational or predicative form of proposition.
This attempt has on the whole met with greater success than I had
anticipated; and I believe that the methods formulated will be
found to be both as easy and as effective as the symbolical methods
of Boole and his followers. The book concludes with a general and
sure method of solution of what Professor Jevons called the inverse
problem, and which he himself seemed to regard as soluble only by a
series of guesses.
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