Quotes of All Topics . Occasions . Authors
I'm obviously attuned to pick up mathematics whenever I can see it. But in Mozart there is a lot of conscious use of mathematical symbolism and numbers in order to try and give messages.
Democracy is not a mathematical deduction proved once and for all time. Democracy is a just faith fervently held, commitment to be tested again and again in the fiery furnace of history.
The building blocks of mathematical thinking are requisite for more advanced conceptualization. If a student is not ready to move on, then the teacher must take time to assist that learner.
One of the most important tools in critical thinking about numbers is to grant yourself permission to generate wrong answers to mathematical problems you encounter. Deliberately wrong answers!
The universal medicine for the Soul is the Supreme Reason and Absolute Justice; for the mind, mathematical and practical Truth; for the body, the Quintessence, a combination of light and gold.
I'm not sure whether it counts as a talent, but I love playing 'Magic: The Gathering.' It's mathematical and intellectually challenging, and makes me feel nostalgic for when I played as a kid.
If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.
I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
In teaching, I wanted to offer a general pharmacology course based on chemical principles, biochemical classification and mathematical modelling. In the event I achieved neither of my ambitions.
We have failed to protect science against speculative extensions of nature, continuing to assign physical and mathematical properties to hypothetical entities beyond what is observable in nature.
Through the very culture of representation through form, we have come to see that the abstract - like the mathematical - is actually expressed in and through all things, although not determinately.
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.
Though women are no longer barred from university laboratories and scientific societies, the idea that they are innately less suited to mathematical science is deeply ingrained in our cultural genes.
You can get a certain amount of pleasure as a mathematical spectator, reading and watching some of the most beautiful arguments that have been created in the history of humanity. But that's too passive.
I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.
Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things.
There's a very mathematical, mechanical side to architecture, and I probably lean more toward that aspect of it, though I'm terrible at numbers. But that side appeals to me more than the decorating aspect.
Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking.
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
In many cases, mathematics is an escape from reality. The mathematician finds his own monastic niche and happiness in pursuits that are disconnected from external affairs. Some practice it as if using a drug.
I spend quite a lot of time thinking about how curated our information is. What we watch, what we read, what we buy, often who we talk to, is all shaped and influenced by some kind of a mathematical algorithm.
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.
The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?
Video games as a storytelling medium are, from a mathematical standpoint, a branching narrative. You start at one place, you can go in multiple different directions, and there's a multitude of different endings.
I'm interested in complexity, in the mathematical sense, as well as the idiomatic sense. The idea of emergence - that it's possible for complex patterns to arise out of many simple interactions - is fascinating.
We've gone from the image of India as land of fakirs lying on beds of nails, and snake charmers with the Indian rope trick, to the image of India as a land of mathematical geniuses, computer wizards, software gurus.
In short, I do not write for mathematicians, nor as a mathematician, but as an economist wishing to convince other economists that their science can only be satisfactorily treated on an explicitly mathematical basis.
We do learn a thing or two from art. It may not be the one-to-one instruction of a moral lesson or the rote learning of a grammatical rule or mathematical concept. But the habits of mind art cultivates are important.
I took a course on 'Magic, Alchemy, and Astrology' at Mount Holyoke, and it was a whole new awakening for me, a way of thinking about the world primarily in terms of concepts and words rather than mathematical formulas.
If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with living creatures?
Einstein was very attracted to Mozart. There's a mathematical, classical structure to the music, and I think he identified with that very strongly. I think there also is a connection between being a genius and a polymath.
There's barely any aspect of our modern lives that hasn't had a mathematical contribution at some point and yet, if you asked the average person, they might think that maths is just difficult, irrelevant and uninteresting.
The immediacy of mystic experience simply means that we know God just as we know other objects. God is not a mathematical entity or a system of concepts mutually related to one another and having no reference to experience.
I was a good student with mathematical ability and interests. As such, I took the usual college preparatory program in high school for one looking to become an engineer: all the available courses in mathematics and science.
Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four.
All my family has very good mathematical abilities - like, so dorky. I was the dork then in school - on any maths exams I'd get 100%. I just knew how to do maths and most people would hate it, but for some reason it just came.
I know this world is ruled by infinite intelligence. Everything that surrounds us- everything that exists - proves that there are infinite laws behind it. There can be no denying this fact. It is mathematical in its precision.
In 1688, Edward Lloyd opened a coffeehouse on London's seafront popular among underwriters, men in powdered wigs with mathematical minds and steely constitutions who offered to compensate owners if their boats were lost at sea.
I never, ever drink while writing. Never have from the start, and I'm happy that I never have to. A lot of my stuff is plot-driven and mathematical, and I think you need a clean and sober mind to pin down the logistics of that.
All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.
I'm very attracted to schematic structures. My brother is a chemical engineer, he has a very mathematical mind, and he's also a visual artist. I think we have a lot in common. And my first film had a very tight structure, narratively.
In this age of specialization, I sometimes think of myself as the last 'generalist' in economics, with interests that range from mathematical economics down to current financial journalism. My real interests are research and teaching.
The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.
It always seems odd to me that the fundamental laws of physics, when discovered, can appear in so many different forms that are not apparently identical at first, but, with a little mathematical fiddling, you can show the relationship.
Things like the financial markets - a proper grounding in mathematics could help the common man. I believe that if people are more familiar with mathematical concepts... it can help deal with modern life, which is increasingly complex.
I believe sanity and realism can be restored to the teaching of Mathematical Statistics most easily and directly by entrusting such teaching largely to men and women who have had personal experience of research in the Natural Sciences.
I do not love to be printed on every occasion, much less to be dunned and teased by foreigners about mathematical things or to be thought by our own people to be trifling away my time about them when I should be about the king's business.
The orthodox believers in God are divided into two camps, one of which maintains that the existence of God is as demonstrable as any mathematical proposition, while the other asserts that his existence is not demonstrable to the intellect.
Formal logic is mathematics, and there are philosophers like Wittgenstein that are very mathematical, but what they're really doing is mathematics - it's not talking about things that have affected computer science; it's mathematical logic.