ABSTRACT
The zero of any kind of magnitude is incapable of that relation to existence or to particulars, of which the other magnitudes are capable. The zero magnitude of any kind, like the other magnitudes, is properly speaking indefinable, but is capable of specification by means of its peculiar relation to the logical zero. Where a kind of magnitude is discrete, and generally when it has what Professor Bettazzi calls a limiting magnitude of the kind, such a definition is insufficient. The quantitative zero has a certain connection both with the number 0 and with the null-class in Logic, but it is not definable in terms of either. Zero seems to be definable by some general characteristic, without reference to any special peculiarity of the kind of quantity to which it belongs.
