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.
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Ada Lovelace
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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.
That brain of mine is something more than merely mortal, as time will show.
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.
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.
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.
The science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value.
Imagination is the Discovering Faculty, pre-eminently. It is that which penetrates into the unseen worlds around us, the worlds of Science.
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.