A Quote by Mary Somerville
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science.
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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been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity.
The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or interrelations between various objects. The goal of a proof is to make such a statement convincing by presenting a reasoning subdivided into small steps each of which is justified as an "elementary" convincing argument.
Many persons entertain a prejudice against mathematical language, arising out of a confusion between the ideas of a mathematical science and an exact science. ...in reality, there is no such thing as an exact science.
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.
Medicine, electronic communications, space travel, genetic manipulation . . . these are the miracles about which we now tell our children. These are the miracles we herald as proof that science will bring us the answers. The ancient stories of immaculate conceptions, burning bushes, and parting seas are no longer relevant. God has become obsolete. Science has won the battle.
There's nothing in the actual Bible that limits a Christian in their appreciation of or interest in science. Anti-science is purely a function of ignorant fundamentalism.
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.
I am fully assured, that no general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognize, not only the special numerical bases of the science, but also those universal laws of thought which are the basis of all reasoning, and which, whatever they may be as to their essence, are at least mathematical as to their form.
The only possible proof of the existence of water, the most convincing and the most intimately true proof, is thirst.
When Coleridge tried to define beauty, he returned always to one deep thought; beauty, he said, is unity in variety! Science is nothing else than the search to discover unity in the wild variety of nature,-or, more exactly, in the variety of our experience. Poetry, painting, the arts are the same search, in Coleridge's phrase, for unity in variety.
Photography is a bridge between science and art. It brings to science what it needs most, the artistic sense, and to art the proof that nothing can be imagined which cannot be matched in the counterpoints of nature.
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.
Canada has no cultural unity, no linguistic unity, no religious unity, no economic unity, no geographic unity. All it has is unity.
The fact that science led me to spiritual insight is appropriate because the latest discoveries in physics and cell research are forging new links between the worlds of Science and Spirit. These realms were split apart in the days of Descartes centuries ago. However, I truly believe that only when Spirit and Science are reunited will we be afforded the means to a better world.
Nothing will so enlarge the intellect, nothing so magnify the whole soul of man, as a devout, earnest, continued, investigation of the great subject of the Deity. The most excellent study for expanding the soul is the science of Christ and Him crucified and the knowledge of the Godhead in the glorious Trinity.
In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the operations of matter and the abstract mental processes of the most abstract branch of mathematical science.
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