A Quote by Ada Lovelace
Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and effective connection with each other.
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The Cabal is of two kinds, theoretical and practical, with the practical Cabala, which is engaged in the construction of talismans and amulets, we have nothing to do. The theoretical is divided into the lineal and dogmatic. The dogmatic is nothing more than the summary of the metaphysical doctrine taught by the Cabalist doctors. It is, in other words, the system of the Jewish philosophy.
It has long been my personal view that the separation of practical and theoretical work is artificial and injurious. Much of the practical work done in computing, both in software and in hardware design, is unsound and clumsy because the people who do it have not any clear understanding of the fundamental design principles of their work. Most of the abstract mathematical and theoretical work is sterile because it has no point of contact with real computing.
We need less theoretical debate and more practical application and acknowledgment of what Europe can and does do so that it is brought home to people in a relevant way.
One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution.
Medicine is the science by which we learn the various states of the human body in health and when not in health, and the means by which health is likely to be lost and, when lost, is likely to be restored back to health. In other words, it is the art whereby health is conserved and the art whereby it is restored after being lost. While some divide medicine into a theoretical and a practical [applied] science, others may assume that it is only theoretical because they see it as a pure science. But, in truth, every science has both a theoretical and a practical side.
There's always a tension in my world between the pragmatic and the practical and the theoretical. I have a very theoretical turn of mind, but I also like to test things in place.
The calculative exactness of practical life which the money economy has brought about corresponds to the ideal of natural science: to transform the world by mathematical formulas. Only money economy has filled the days of so many people with weighing, calculating, with numerical determinations, with a reduction of qualitative values to quantitative ones.
A frequent intercourse and intimate connection between two persons make them so like, that not only their dispositions are moulded like each other, but their very face and tone of voice contract a certain analogy.
I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.
For even the best of peace training is more theoretical than practical experience ... indirect practical experience may be the more valuable because infinitely wider.
Above all else, we seek connection - with parts of ourselves that we have repressed, with other people, and with the larger universe. We cannot experience life in its fullness unless we have an intimate relationship with another human being and, beyond that, a feeling of connection with the world around us.
Kant, discussing the various modes of perception by which the human mind apprehends nature, concluded that it is specially prone to see nature through mathematical spectacles. Just as a man wearing blue spectacles would see only a blue world, so Kant thought that, with our mental bias, we tend to see only a mathematical world.
. . . She knew only that if she did or said thus-and-so, men would unerringly respond with the complimentary thus-and-so. It was like a mathematical formula and no more difficult, for mathematics was the one subject that had come easy to Scarlett in her schooldays.
Observation of my life to date shows that the larger the number for whom I work, the more positively effective I become. Thus, it is obvious that if I work always and only for all humanity, I will be optimally effective.
As we continued to talk, going through the motions of getting to know each other, I realized that we already did know each other, as well as any two people could. We’d known each other for years, in the most intimate way possible. We’d connected on a purely mental level. I understood her, trusted her, and loved her as a dear friend. None of that had changed, or could be changed by anything as inconsequential as her gender, or skin color, or sexual orientation.
If each of us can learn to relate to each other more out of compassion, with a sense of connection to each other and a deep recognition of our common humanity, and more important, to teach this to our children, I believe that this can go a long way in reducing many of the conflicts and problems that we see today.
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