It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate mechanism, it we….

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 spe….

The confusion, the difficulties, the contradictions which, in consequence of a want of accurate distinctions in this particular, have up to even a re….

In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the o….

The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform. It can follow analysi….

But the science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value; just as….

In considering any new subject, there is frequently a tendency, first, to overrate what we find to be already interesting or remarkable; and, secondl….

It must be evident how multifarious and how mutually complicated are the considerations which the working of such an engine involve. There are freque….

Forget this world and all its troubles and if possible its multitudinous Charlatans-- everything in short but the Enchantress of Numbers..

It may be desirable to explain, that by the word operation, we mean any process which alters the mutual relation of two or more things, be this relat….

In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the ….

The Analytical Engine is an embodying of the science of operations, constructed with peculiar reference to abstract number as the subject of those op….

In almost every computation a great variety of arrangements for the succession of the processes is possible, and various considerations must influenc….

With whomsoever or wheresoever may rest the present causes of difficulty that apparently exist towards either the completion of the old engine, or th….

I never am really satisfied that I understand anything; because, understand it well as I may, my comprehension can only be an infinitesimal fraction ….

Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s Analytical Engine] is to give its resul….

Imagination is the Discovering Faculty, pre-eminently ... It is that which feels & discovers what is, the REAL which we see not, which exists not for….

The object of the engine is in fact to give the utmost practical efficiency to the resources of numerical interpretations of the higher science of an….