The English works of Thomas Hobbes of Malmesbury, Volume 07 (of 11)
Thomas Hobbes · en
In the next place you say, I may as well conclude from the not
susception of _greater_ and _less_, that a right angle is not quantity,
but an oblique one is. Very learnedly. As if to be _greater_ or _less_,
could be attributed to a quantity once determined. Number (that is,
number indefinitively taken) is susceptible of _greater_ and _less_,
because one number may be greater than another; and this is a good
argument to prove that number is quantity. And do you think the argument
the worse for this, that one six cannot be greater than another six?
After all these childish arguments which you have hitherto urged, can
you persuade any man, or yourselves, that you are logicians?
To the fifth and sixth article you object, first, _that if I had before
sufficiently defined_ (ratio) _proportion, I needed not again define
what is_ (eadem ratio) _the same proportion_; and ask me _whether when I
have defined_ man, _I use to define anew what is the_ same man? You
think when you have the definition of _homo_, you have also the
definition of _idem homo_, when it is harder to conceive what _idem_
signifies, than what _homo_. Besides, _idem_ hath not the same
signification always, and with whatsoever it be joined; it doth not
signify the same with _homo_, that it doth with _ratio_. For with _homo_
it signifies the same _individual man_, but with _ratio_ it signifies a
like, or an equal proportion: and both (_ratio_) _proportion_ and
(_idem_) _the same_, being defined, there will still be need of another
definition for (_eadem ratio_) _the same proportion_; and this is enough
to defend both myself and Euclid, against this objection: for Euclid
also, after he had defined (_ratio_) _proportion_, and that
sufficiently, as he believed, yet he defines _the same proportion_ again
apart. I know you did not mean in this place to object anything against
Euclid, but you saw not what you were doing. There is within you some
special cause of intenebration, which you should do well to look to.