Owing to some peculiarity in my nervous system, I have perception of some things, which no one else has; or at least very few, if any... I can throw rays from every quarter of the universe into one vast focus.
Ada LovelaceRead
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.
Interpretation
Mathematics reveals hidden connections in reality, but requires intuition to understand them.
Ada Lovelace's quote emphasizes the duality of mathematical science as both a precise language that describes the relationships in the world and a medium that requires a deeper, intuitive understanding of the unseen aspects of those relationships. She suggests that while mathematics is essential for articulating complex ideas, true comprehension demands an appreciation for the intuitive and subconscious elements that govern these relations.
In practice
In a lecture on the importance of mathematics in understanding the universe.
Owing to some peculiarity in my nervous system, I have perception of some things, which no one else has; or at least very few, if any... I can throw rays from every quarter of the universe into one vast focus.
The ideas which led to the Analytical Engine occurred in a manner wholly independent of any that were connected with the Difference Engine. These ideas are indeed, in their own intrinsic nature, independent of the latter engine and might equally have occurred had it never existed nor even been thought of at all.
I have got a scheme to make a thing in the form of a horse with a steam engine in the inside so contrived as to move an immense pair of wings, fixed on the outside of the horse, in such a manner as to carry it up into the air while a person sits on its back.
Imagination is the Discovering Faculty, pre-eminently. It is that which penetrates into the unseen worlds around us, the worlds of Science.
I never am really satisfied that I understand anything; because, understand it well as I may, my comprehension can only be an infinitesimal fraction of all I want to understand about the many connections and relations which occur to me, how the matter in question was first thought of or arrived at, etc., etc.
I think I am more determined than ever in my future plans, and I have quite made up my mind that nothing must be suffered to interfere with them. I intend to make such arrangements in town as will secure me a couple of hours daily (with very few exceptions) for my studies.
At the simplest level, economics can better show us the consequences of our actions. Less simple are cases in which we don't have the knowledge to predict the full consequences. Global warming and climate change are examples.
Whether it is to reduce our carbon-dioxide emissions or to prepare for when the coal and oil run out, we have to continue to seek out new energy sources.
Now is not the time to gut these job-creating investments in science and innovation. Now is the time to reach a level of research and development not seen since the height of the Space Race.
Psychology has a long past, but only a short history.
No barrier stands between the material world of science and the sensibilities of the hunter and the poet.
There's no doubt that scientific training helps many authors to write better science fiction. And yet, several of the very best were English majors who could not parse a differential equation to save their lives.
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