An Introduction to PhilosophyFullerton, George Stuart
Philosophy
An Introduction to Philosophy
Fullerton, George Stuart
Philosophy
A multitude of writers at the present day are treating logic in this
way, and in some great prominence is given to problems which the
philosopher recognizes as indisputably his own. The term "modern
logic" is often employed to denote a logic of this type; one which does
not, after the fashion of the natural sciences generally, proceed on
the basis of certain assumptions, and leave deeper questions to some
other discipline, but tries to get to the bottom of things for itself.
The tendency to run into metaphysics is peculiarly marked in those
writers who have been influenced by the work of the philosopher Hegel.
I shall not here ask why those who belong to one school are more
inclined to be metaphysical than are those who belong to another, but
shall approach the broader question why the logicians generally are
inclined to be more metaphysical than those who work in certain other
special sciences, such as mathematics, for example. Of the general
tendency there can be no question. The only problem is: Why does this
tendency exist?
68. LOGIC AND PHILOSOPHY.--Let us contrast the science of arithmetic
with logic; and let us notice, regarding it, the following points:--
It is, like logic, a _general_ science, in that the things treated of
in many sciences may be numbered. It considers only a certain aspect
of the things.
Now, that things may be counted, added together, subtracted, etc., is
guaranteed by the experience of the plain man; and the methods of
determining the numerical relations of things are gradually developed
before his eyes, beginning with operations of great simplicity.
Moreover, verification is possible, and within certain limits
verification by direct inspection.
To this we may add, that there has gradually been built up a fine
system of unambiguous symbols, and it is possible for a man to know
just what he is dealing with.
Thus, a certain beaten path has been attained, and a man may travel
this very well without having forced on his attention the problems of
reflective thought. The knowledge of numbers with which he starts is
sufficient equipment with which to undertake the journey. That one is
on the right road is proved by the results one obtains. As a rule,
disputes can be settled by well-tried mathematical methods.
There is, then, a common agreement as to initial assumptions and
methods of work, and useful results are attained which seem to justify
both. Here we have the normal characteristics of a special science.
We must not forget, however, that, even in the mathematical sciences,
before a beaten path was attained, disputes as to the significance of
numbers and the cogency of proofs were sufficiently common. And we
must bear in mind that even to-day, where the beaten path does not seem
wholly satisfactory, men seem to be driven to reflect upon the
significance of their assumptions and the nature of their method.
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