Those who have learned to walk on the threshold of the unknown worlds, by means of what are commonly termed par excellence the exact sciences, may then, with the fair white wings of imagination, hope to soar further into the unexplored amidst which we live.
The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform... But it is likely to exert an indirect and reciprocal influence on science itself.
We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves.
The Analytical Engine does not occupy common ground with mere 'calculating machines.' It holds a position wholly its own, and the considerations it suggests are more interesting in their nature.
In the case of the Analytical Engine, we have undoubtedly to lay out a certain capital of analytical labour in one particular line, but this is in order that the engine may bring us in a much larger return in another line.
The ideas which led to the Analytical Engine occurred in a manner wholly independent of any that were connected with the Difference Engine. These ideas are indeed, in their own intrinsic nature, independent of the latter engine and might equally have occurred had it never existed nor even been thought of at all.
Those who incline to very strictly utilitarian views may perhaps feel that the peculiar powers of the Analytical Engine bear upon questions of abstract and speculative science rather than upon those involving everyday and ordinary human interests.
I was rather foolish in saying that I did not like arithmetic and to learn figures when I did - I was not thinking quite what I was about. The sums can be done better, if I tried, than they are.
I think I am more determined than ever in my future plans, and I have quite made up my mind that nothing must be suffered to interfere with them. I intend to make such arrangements in town as will secure me a couple of hours daily (with very few exceptions) for my studies.
I have my hopes, & very distinct ones, too, of one day getting cerebral phenomena such that I can put them into mathematical equations: in short, a law or laws for the mutual actions of the molecules of the brain (equivalent to the law of gravitation for the planetary & sideral world).
I am never so happy as when I am really engaged in good earnest, & it makes me must wonderfully cheerful & merry at other times, which is curious & very satisfactory.
I have got a scheme to make a thing in the form of a horse with a steam engine in the inside so contrived as to move an immense pair of wings, fixed on the outside of the horse, in such a manner as to carry it up into the air while a person sits on its back.
The science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value.
I believe myself to possess a most singular combination of qualities exactly fitted to make me pre-eminently a discoverer of the hidden realities of nature.
As soon as I have got flying to perfection, I have got a scheme about a steam engine.
A new, a vast, and a powerful language is developed for the future use of analysis, in which to wield its truths so that these may become of more speedy and accurate practical application for the purposes of mankind than the means hitherto in our possession have rendered possible.
I wish to add my mite towards expounding & interpreting the Almighty, & his laws & works, for the most effective use of mankind; and certainly, I should feel it no small glory if I were enabled to be one of his most noted prophets (using this word in my own peculiar sense) in this world.
Mathematical science shows what is. It is the language of unseen relations between things. But to use and apply that language, we must be able fully to appreciate, to feel, to seize the unseen, the unconscious.
Owing to some peculiarity in my nervous system, I have perception of some things, which no one else has; or at least very few, if any... I can throw rays from every quarter of the universe into one vast focus.
Imagination is the Discovering Faculty, pre-eminently. It is that which penetrates into the unseen worlds around us, the worlds of Science.
