[A] Sometimes on suddenly awaking from a profound sleep a person finds himself for the moment deprived of his personal stock of memories, unable to recall where and in what circumstances he is. No one who has experienced such a condition can ever forget the terrifying sense of helplessness it brings.
[C] It cannot be objected that inorganic nature also is known to be subject to the law of causation. The causal mode of regarding inorganic phenomena is a distinctly human one, and nothing justifies the assertion that the same phenomena cannot be viewed in an entirely different manner.
[D] Mathematicians who busy themselves a great deal with the formal theory of four-dimensional space, seem to acquire a capacity for imagining this form as easily as the three-dimensional form with which we are all familiar. Therefore, despite the oft-repeated statements to the contrary, it is not impossible to imagine four-dimensional space. Only, we must not attempt to represent to ourselves four-dimensional space in three-dimensional space, especially not without a knowledge of its properties.
[E] The usual designation of the larger groups, ten, hundred, thousand, million, billion, etc., is also quite irrational. If it is our object to secure expressions for place values in as few words as possible, we find that the numbers of the form 102n, in which n is a whole number, must receive their own names, that is, 10, 100, 10,000, 100,000,000 etc. In this way the problem of designating as many numbers as possible by as few words as possible is solved.
[F] It is not difficult to perfect musical notation with a view to unambiguity, a thing which would greatly facilitate the study of music.
[G] For the sake of the layman it must be observed that those "quantities" are not energy magnitudes but factors of the electrical and magnetic energies. Energy itself in its various forms is an exclusively positive magnitude, and the result of the additions of their various amounts is always the sum, never the difference, of their numerical values. By the negative sign is understood the energy expended in contradistinction to the energy received. It is therefore nothing more than the indication of a mathematical operation.
[H] Lately changes of elements into one another have been observed in individual instances, but in such peculiar circumstances that for the present we need not consider these discoveries, which have only just begun.
[I] At the present time "Ido" is the best. It is a highly practicable artificial language, and its advocates have succeeded in organizing it to insure its normal development. An older and still rather widespread form called "Esperanto" has failed to organize itself so as to insure its development and it must inevitably die out.
