A Quote by Ada Lovelace
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 analysis, while it uses the processes and combinations of this latter.
Related Quotes
Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s 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.
We might even invent laws for series or formula in an arbitrary manner, and set the engine to work upon them, and thus deduce numerical results which we might not otherwise have thought of obtaining; but this would hardly perhaps in any instance be productive of any great practical utility, or calculated to rank higher than as a philosophical amusement.
Indeed we may consider the engine as the material and mechanical representative of analysis, and that our actual working powers in this department of human study will be enabled more effectually than heretofore to keep pace with our theoretical knowledge of its principles and laws, through the complete control which the engine gives us over the executive manipulation of algebraical and numerical symbols.
Social science and humanities ... have a mutual contempt for one another, the former looking down on the latter as unscientific, the latter regarding the former as philistine. ... The difference comes down to the fact that social science really wants to be predictive, meaning that man is predictable, while the humanities say that he is not.
It seems to me that information is the thing which uses matter, uses light, uses spirit, uses whatever it can put its hands on to organize itself into higher and higher levels of self-reflection.
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science which have been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity.
In fact, the science of thermodynamics began with an analysis, by the great engineer Sadi Carnot, of the problem of how to build the best and most efficient engine, and this constitutes one of the few famous cases in which engineering has contributed to fundamental physical theory. Another example that comes to mind is the more recent analysis of information theory by Claude Shannon. These two analyses, incidentally, turn out to be closely related.
A true community maximizes the potential of whatever human resources exist within it (by allowing for all possible combinations), while networks minimize such utilization, since it's limited by each individual's capacity to absorb unsettling stimuli (new combinations).
An absolute can only be given in an intuition, while all the rest has to do with analysis. We call intuition here the sympathy by which one is transported into the interior of an object in order to coincide with what there is unique andconsequently inexpressible in it. Analysis, on the contrary, is the operation which reduces the object to elements already known.
When we come to images or memories or thoughts, speculation, while always closely related to practice, is more explicit, and it is in fact not immediately obvious that such processes can be described in any sense as practical.
Art is a severe business; most serious when employed in grand and sacred objects. The artist stands higher than art, higher than the object. He uses art for his purposes, and deals with the object after his own fashion.
The colleges of Edinburgh and Geneva as seminaries of science, are considered as the two eyes of Europe. While Great Britain and America give the preference to the former, all other countries give it to the latter.
It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate mechanism, it were equally a necessity of things that the reasonings connected with operations should hold the same just place as a clear and well-defined branch of the subject of analysis, a fundamental but yet independent ingredient in the science, which they must do in studying the engine.
The division of the psychical into what is conscious and what is unconscious is the fundamental premise of psycho-analysis; and it alone makes it possible for psycho-analysis to understand the pathological processes in mental life, which are as common as they are important, and to find a place for them in the framework of science.
Generosity is nothing else than a craze to possess. All which I abandon, all which I give, I enjoy in a higher manner through the fact that I give it away. To give is to enjoy possessively the object which one gives.
The interpretations of science do not give us this intimate sense of objects as the interpretations of poetry give it; they appeal to a limited faculty, and not to the whole man. It is not Linnaeus or Cavendish or Cuvier who gives us the true sense of animals, or water, or plants, who seizes their secret for us, who makes us participate in their life; it is Shakspeare [sic] … Wordsworth … Keats … Chateaubriand … Senancour.
Related Authors
Alfred North Whitehead Quotes
English
Mathematician
Benoit Mandelbrot Quotes
French
Mathematician
Carl Friedrich Gauss Quotes
German
Mathematician
Charles Babbage Quotes
English
Mathematician
David Hilbert Quotes
German
Mathematician
G. H. Hardy Quotes
British
Mathematician
George Polya Quotes
Hungarian
Mathematician
Hannah Fry Quotes
English
Mathematician
Henri Poincare Quotes
French
Mathematician
Isaac Barrow Quotes
English
Mathematician
Isaac Newton Quotes
English
Mathematician
Norbert Wiener Quotes
American
Mathematician
Pythagoras Quotes
Greek
Mathematician
Rene Descartes Quotes
French
Mathematician
Seymour Papert Quotes
American
Mathematician
Terence Tao Quotes
Australian
Mathematician