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.
Cancer is not one disease but many diseases.
If we use our fuel to get our power, we are living on our capital and exhausting it rapidly. This method is barbarous and wantonly wasteful, and will have to be stopped in the interest of coming generations. The heat of the sun's rays represents an immense amount of energy vastly in excess of waterpower...The sun's energy controlled to create lakes and rivers for motive purposes and transformation of arid deserts into fertile land.
To promote the healing response, you must get past all the grosser levels of the body - cells, tissues, organs and systems -- and arrive at a junction point between mind and matter, the point where consciousness actually starts to have an effect.
I have made hundreds of dives in submersibles, with each dive holding the promise of seeing an organism or a behavior that no one has ever seen before. But I have always wondered about the animals and behaviors that we're not seeing because our bright lights and loud thrusters scare them away.
Early experience shapes the structure and function of the brain. This reveals the fundamental way in which gene expression is determined by experience.
When I had satisfied myself that no star of that kind had ever shone before, I was led into such perplexity by the unbelievability of the thing that I began to doubt the faith of my own eyes.
Subscribe for the occasional hand-picked quote. No noise.