[E] Can we deny that a warrior should have a knowledge of arithmetic?
Certainly he should, if he is to have the smallest understanding of military tactics, or indeed, I should rather say, if he is to be a man at all.
I should like to know whether you have the same notion which I have of this study?
What is your notion?
that being a study which leads naturally to reflection, for It appears to me to be a study of the kind which we are [523]seeking, and which leads naturally to reflection, but never to have been rightly used; for the true use of it is simply to draw the soul towards being.
Will you explain your meaning? he said.
I will try, I said; and I wish you would share the enquiry with me, and say ‘yes’ or ‘no’ when I attempt to distinguish in my own mind what branches of knowledge have this attracting power, in order that we may have clearer proof that arithmetic is, as I suspect, one of them.
Explain, he said.
reflection is aroused by contradictory impressions of sense. I mean to say that objects of sense are of two kinds; some [B]of them do not invite thought because the sense is an adequate judge of them; while in the case of other objects sense is so untrustworthy that further enquiry is imperatively demanded.
You are clearly referring, he said, to the manner in which the senses are imposed upon by distance, and by painting in light and shade.