However correct the nominalistic conception of number may be in such a case as that of numbering the five apples, it is wholly incorrect to restrict the concept of number itself to one valid for this kind of occurrence. We shall see this immediately if we take one of the apples and cut it across. There we find the number five confronting us in the well-known star-like figure, represented by the fivefold pericarp in the centre of the apple. What man, restricted as he was to the mode of understanding, has completely overlooked is this: although the act of counting, by which we establish the number five, is the same in both cases, the quality of the number five is totally different. For in the case of the five pericarps this number is a quality immanent in the apple, which it shares with the whole species of Rosaceae. The apple itself is just as much 'five' as it is 'round', 'sweet', etc. In the supersensible type which creates in the plant its own organ of manifestation, the creation of a number - in the apple the number five - is part of the form-creating activities characteristic of the type. The numerical relationships which appear between natural phenomena depend upon the way in which the chemical ether participates. This is true equally of those discovered by chemistry in the sphere of inorganic matter and used to-day with such great success. Let us be quite clear that the relationship of unity to plurality in the case of the five apples is totally different from what it is in the fivefold pericarp. In the first case unity is the smallest quantity represented by each of the five apples. There, the step from one to two is made by joining together two units from outside. The path from one to many is by way of continuous addition. In the second case the unity is represented by the pericarp - i.e. by the one comprising the many, the latter appearing as parts of the whole. In such a case two is part of one and so are three, four, five, etc. Plurality arises from a continuous process of division of unity. The ancient world knew the idea of number only in the last-mentioned form. There unity appeared as an all-embracing magnitude, revealed through the Universe. The world's manifoldness was felt to be not a juxtaposition of single things, externally connected, but the content of this unity, and therefore derived from it. This was expressed by the pre-Socratic Greek philosophers in the formula έν και παν (the One and the All).