A Quote by Alfred North Whitehead

The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it.
The study of mathematics is apt to commence in disappointment.
Mathematics is often defined as the science of space and number . . . it was not until the recent resonance of computers and mathematics that a more apt definition became fully evident: mathematics is the science of patterns.
There's a difference between what I call a dumb ghost and a smart ghost. The smart ghost is Hamlet's father - you know, he says, "Get revenge, my son!" That's incredibly rare. It's much more the grey lady in the same place everyday, moving across the floor.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
Know that, as in life, there is much that many have looked upon but few have seen because, as my father told me and his father told him, you will come to learn a great deal if you study the insignificant in depth.
What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But that is about as far as you will get. And with that you will have obtained a description of mathematics that ceased to be accurate some two and a half thousand years ago!
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
The main duty of the historian of mathematics, as well as his fondest privilege, is to explain the humanity of mathematics, to illustrate its greatness, beauty and dignity, and to describe how the incessant efforts and accumulated genius of many generations have built up that magnificent monument, the object of our most legitimate pride as men, and of our wonder, humility and thankfulness, as individuals. The study of the history of mathematics will not make better mathematicians but gentler ones, it will enrich their minds, mellow their hearts, and bring out their finer qualities.
Listen my love, illumination is eternal. Now is always evolving. As there are billions of stars, there are billions of steps. As there are billions of souls, there are billions of ways to grow.
If we try to hold on to our partial glimpses of the divine, we cut it down to our own size and close our minds. Like it or nor, our human experience of anything or anybody is always incomplete: there is usually something that eludes us, some portion of experience that evades our grasp.
Recent results from astronomers who study the occasional gravitational lensing of unknown worlds by intervening stars suggest that orphan planets could be at least as numerous as the stars. In other words, there could be hundreds of billions of orphan worlds shuffling through our galaxy.
I am haunted by the ghost of my father, I think that should allow me to quote Hamlet as much as I please.
The atoms of our bodies are traceable to stars that manufactured them in their cores and exploded these enriched ingredients across our galaxy, billions of years ago. For this reason, we are biologically connected to every other living thing in the world. We are chemically connected to all molecules on Earth. And we are atomically connected to all atoms in the universe. We are not figuratively, but literally stardust.
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
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