Results In Mathematics Quotes & Sayings

Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation. — Ivars Peterson

Yes, I share your concern: how to program well -though a teachable topic- is hardly taught. The situation is similar to that in mathematics, where the explicit curriculum is confined to mathematical results; how to do mathematics is something the student must absorb by osmosis, so to speak. One reason for preferring symbol-manipulating, calculating arguments is that their design is much better teachable than the design of verbal/pictorial arguments. Large-scale introduction of courses on such calculational methodology, however, would encounter unsurmoutable political problems. — Edsger Dijkstra

If you look at 'West Side Story,' a lot of those numbers are actually pretty cutty, but the cuts are always musically motivated. — Damien Chazelle

The most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame as the queen of the sciences, is no doubt the peculiar certainty and necessity of its results. — Carl Gustav Hempel

The best result of mathematics is to be able to do without it. — Oliver Heaviside

This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous. — Charles Sanders Peirce

Innovation requires resources to invest, and you can see many companies pulling back and going into an intense protective mode in a major extended period of financial distress. — Peter Senge

I have been running maths clubs for children completely free. In my building in Bangalore, I conduct maths clubs for several months, and every child who attended the club was poor in mathematics and is now showing brilliant results. — Shakuntala Devi

A puck is a hard rubber disk that hockey players strike when they can't hit one another. — Jimmy Cannon

You're familiar with the P = NP problem, right?" Yukawa asked from behind him. Ishigami looked around. "You're referring to the question of whether or not it is as easy to determine the accuracy of another person's results as it is to solve the problem yourself - or, failing that, how the difference in difficulty compares. It's one of the questions the Clay Mathematics Institute has offered a prize to solve. — Keigo Higashino

I use logic all the time in mathematics, and it seems to yield "correct" results, but in mathematics "correct" by and large means "logical", so I'm back where I started. I can't defend logic because I can't remove my glasses. — Richard J. Trudeau

Examples ... which might be multiplied ad libitum, show how difficult it often is for an experimenter to interpret his results without the aid of mathematics. — John William Strutt

I have practically no private life. I'm already used to this and ready for it. Yes, sometimes it is hard, but it is the choice I made. — Cristiano Ronaldo

There are fields of scientific work ... which have been explored from the different sides of pure mathematics, statistics, electrical engineering, and neurophysiology ... in which every single notion receives a separate and different name from each group, and in which important work has been triplicated or quadruplicated, while still other important work is delayed by the unavailability in one field of results that may have already become classical in the next field. — Norbert Wiener

I know that I'm the happiest of lovers ... — Max Frisch

His ironing seemed highly rational, with a constant speed that allowed him to get the best results, with the least effort; all the economy and elegance of his mathematical proofs performed right there on the ironing board. The Professor was definitely the best man for this job, we had to admit, since the tablecloth was made of delicate lace. — Yoko Ogawa

Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or achievements of mathematics in the last 50 years. [Said in 1950] — Hermann Weyl

It is written in my life-blood, such that it is, thick or thin; and I can no other. — J.R.R. Tolkien

It is impossible to overstate the imporance of problems in mathematics. It is by means of problems that mathematics develops and actually lifts itself by its own bootstraps ... Every new discovery in mathematics, results from an attempt to solve some problem. — Howard Whitley Eves

Stay and ply your needle. I need no hall that stands crooked." "I wasn't going to build it, I was going to help plan it." "Impossible." Jessica looked up at him with narrowed eyes. "Why?" "You're a woman." "And what's that supposed to mean?" "It means," he said, a dark frown settling on his brow, "that women are capable of sewing, bearing children, and making a man's life hell. And you aren't even capable of sewing. — Lynn Kurland

If a mathematician wishes to disparage the work of one of his colleagues, say, A, the most effective method he finds for doing this is to ask where the results can be applied. The hard pressed man, with his back against the wall, finally unearths the researches of another mathematician B as the locus of the application of his own results. If next B is plagued with a similar question, he will refer to another mathematician C. After a few steps of this kind we find ourselves referred back to the researches of A, and in this way the chain closes. — Alfred Tarski

I don't really do playlists. I don't know how to make a playlist, honestly. — Action Bronson

Amon murmured against my neck, You taste like melted desert honey. — Colleen Houck

Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they? — Alfred Renyi

A result once generally accepted by mathematicians is seldom retracted, and then only with great pangs.
The Nature of Mathematics — Max Black

Mathematics is ordinarily considered as producing precise and dependable results; but in the stock market the more elaborate and abstruse the mathematics the more uncertain and speculative are the conclusions we draw there from. Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment. — Benjamin Graham

Mathematics may be the only exception in the sciences that leaves no room for skepicism. But, if mathematical results are exact as no empirical law can ever be, philosophers have discovered that they are not absolutely novel - instead, they are tautological. — Luigi Luca Cavalli-Sforza

Emotion is messy, contradictory ... and true. — Nigella Lawson

When is a Beryl not a Beryl? 'When it's a Claudia,' he said. — Stephen King

John Dalton was a very singular Man: He has none of the manners or ways of the world. A tolerable mathematician He gained his livelihood I believe by teaching the mathematics to young people. He pursued science always with mathematical views. He seemed little attentive to the labours of men except when they countenanced or confirmed his own ideas ... He was a very disinterested man, seemed to have no ambition beyond that of being thought a good Philosopher. He was a very coarse Experimenter & almost always found the results he required. - Memory & observation were subordinate qualities in his mind. He followed with ardour analogies & inductions & however his claims to originality may admit of question I have no doubt that he was one of the most original philosophers of his time & one of the most ingenious. — Humphry Davy

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers. — Leopold Kronecker

I love making YouTube videos. I love Tumblr, I love Twitter. I love talking with people I find interesting about stuff I find interesting, and the Internet is a great way to do that. — John Green

You've got to internalize the character. You've got to learn the words. These are separate things, but they work together. — Robert Forster

Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions; the peculiar difficulty, complication, and stress of its reasonings; the perfect exactitude of its results; their broad universality; their practical infallibility. — Charles Sanders Peirce

In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation. — Ada Lovelace