The intellectual, the moral, the religious seem to me all naturally bound up and interlinked together in one great and harmonious whole.
Ada LovelaceThe object of the engine is in fact to give the utmost practical efficiency to the resources of numerical interpretations of the higher science of analysis, while it uses the processes and combinations of this latter.
Ada LovelaceThe Analytical Engine might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engineโฆ Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.
Ada LovelaceThe Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform.
Ada LovelaceMany persons who are not conversant with mathematical studies imagine that because the business of [Babbageโs Analytical Engine] is to give its results in numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly.
Ada Lovelace