The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11) — Thomas Hobbes — John Shaqi
The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Thomas Hobbes · en
Thirdly, that after definitions, he that teaches or demonstrates any
thing, proceed in the same method by which he found it out; namely, that
in the first place those things be demonstrated, which immediately
succeed to universal definitions (in which is contained that part of
philosophy which is called _philosophia prima_). Next, those things
which may be demonstrated by simple motion (in which geometry consists).
After geometry, such things as may be taught or shewed by manifest
action, that is, by thrusting from, or pulling towards. And after these,
the motion or mutation of the invisible parts of things, and the
doctrine of sense and imaginations, and of the internal passions,
especially those of men, in which are comprehended the grounds of civil
duties, or civil philosophy; which takes up the last place. And that
this method ought to be kept in all sorts of philosophy, is evident from
hence, that such things as I have said are to be taught last, cannot be
demonstrated, till such as are propounded to be first treated of, be
fully understood. Of which method no other example can be given, but
that treatise of the elements of philosophy, which I shall begin in the
next chapter, and continue to the end of the work.
[Sidenote: Faults of a demonstration.]
18. Besides those _paralogisms_, whose fault lies either in the falsity
of the premises, or the want of true composition, of which I have spoken
in the precedent chapter, there are two more, which are frequent in
demonstration; one whereof is commonly called _petitio principii_; the
other is the supposing of a _false cause_; and these do not only deceive
unskilful learners, but sometimes masters themselves, by making them
take that for well demonstrated, which is not demonstrated at all.
_Petitio principii_ is, when the conclusion to be proved is disguised in
other words, and put for the definition or principle from whence it is
to be demonstrated; and thus, by putting for the cause of the thing
sought, either the thing itself or some effect of it, they make a circle
in their demonstration. As for example, he that would demonstrate that
the earth stands still in the centre of the world, and should suppose
the earth's gravity to be the cause thereof, and define gravity to be a
quality by which every heavy body tends towards the centre of the world,
would lose his labour; for the question is, what is the cause of that
quality in the earth? and, therefore, he that supposes gravity to be the
cause, puts the thing itself for its own cause.