In almost every computation a great variety of arrangements for the succession of the processes is possible, and various considerations must influence the selections amongst them for the purposes of a calculating engine. One essential object is to choose that arrangement which shall tend to reduce to a minimum the time necessary for completing the calculation.
Ada LovelaceThe Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform.
Ada LovelaceUnderstand well as I may, my comprehension can only be an infinitesimal fraction of all I want to understand.
Ada LovelaceIn abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation.
Ada LovelaceImagination is the Discovering Faculty, pre-eminently ... It is that which feels & discovers what is, the REAL which we see not, which exists not for our senses... Mathematical science shows what is. It is the language of unseen relations between things... Imagination too shows what is ... Hence she is or should be especially cultivated by the truly Scientific, those who wish to enter into the worlds around us!
Ada Lovelace