From the third century we pass to the thirteenth, from a century in which Europe is still pagan to a century in which Christianity has been so long established there that its paganism is wellnigh forgotten, from a century in which it is ruled by a Roman emperor to one in which ecclesiastically it is still ruled by Rome, but the empire has passed from the Roman to the Teuton.

Belief is the affirmation of reality, but not all affirmations of reality are beliefs, for if we have, or have had, perceptual experience of a reality, we do not say, “I believe,” but “I see, hear, perceive, or remember.” Similarly, of the realities involved in our inner experience, we say, “What I had in mind, desired, hoped, or felt was…” or else say, more simply, “I was much moved, was in pain, felt affection or hatred, longed for, was thinking about, (...) knew.” On the other hand, there are realities of the perceptual order in which we may express belief, as when we say, “I believe that New Zealand exists, that nitrogen is a gas, that the earth is round, that William the Conqueror crossed the Channel in 1066, that Jesus Christ suffered under Pontius Pilate, was crucified, died, was buried, and rose again.” The realities in which we thus express belief are not realities which we ourselves have observed, but are such that they could have been observed by a person appropriately situated in time and in place. Hence in this case it is not the nature of the realities affirmed that differentiates belief from experience of either the perceptual or the inner type. The difference lies elsewhere. When we affirm a reality of which we ourselves have, or have had, perceptual experience, it is the reality itself, present to our perceiving mind, which alike determines the content of our affirmation and justifies us in making it. (shrink)

Simplicius, writing in the sixth century, distinguishes physical science from astronomy on the ground that, whereas it is the function of the physicist to “inquire into the nature of the heavens and the stars, into their potentialities, their quality, their becoming and passing away,” astronomy has no competence in questions of this primary character. Its function is “to determine the order of the heavenly bodies, their figures, magnitudes, distances from the earth, sun and moon, their eclipses, conjunctions, the quantitative and (...) qualitative properties of their motions,” etc. For this purpose it requires arithmetic and geometry, but cares not how the heavenly motions be described, whether in terms of excentrics or epicycles, so long as the appearances can thus be accounted for. (shrink)