Quotes & Sayings About Logic And Math

Mathematics had never had more than a secondary interest for him [her husband, George Boole]; and even logic he cared for chiefly as a means of clearing the ground of doctrines imagined to be proved, by showing that the evidence on which they were supposed to give rest had no tendency to prove them. — Mary Everest Boole

My mother was an economics professor. I'm proficient in math, and statistics, game theory, symbolic logic and all of that. — Dave Hickey

Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems - general and specific statements - can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences. — Christopher Zeeman

Math is like water. It has a lot of difficult theories, of course, but its basic logic is very simple. Just as water flows from high to low over the shortest possible distance, figures can only flow in one direction. You just have to keep your eye on them for the route to reveal itself. That's all it takes. You don't have to do a thing. Just concentrate your attention and keep your eyes open, and the figures make everything clear to you. In this whole, wide world, the only thing that treats me so kindly is math. — Haruki Murakami

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science. — Richard Courant

Our schools display an enormous bias in educating the mind rather than the whole person. We place major emphasis on reasoning, logic and math, with almost no concern for emotions, intuition and creativity. Our students become memorizing mimics and dull conformists, rather than exciting and feeling creators. — John Bradshaw

Mathematics consists of processes independent of the number. You must remove the number from your thinking and instead dwell on the idea and process of the underlying logic. The faster you do this, the quicker math will begin to make sense to you. Then maybe your life, but defiantly your grade, will get better. — John Weiss

The philosophers make still another objection: "What you gain in rigour," they say, "you lose in objectivity. You can rise toward your logical ideal only by cutting the bonds which attach you to reality. Your science is infallible, but it can only remain so by imprisoning itself in an ivory tower and renouncing all relation with the external world. From this seclusion it must go out when it would attempt the slightest application. — Henri Poincare

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 never have heard somebody talking about games which are educationable or with logic like chess for example. Nobody watch it from the people which watch football and are good at math. Why they don't do it?? — Deyth Banger

The advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil. — Norbert Wiener

Al-Qaeda's resurgence brings out the worst in the Bush Administration's math and logic. — Jon Stewart

Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty. — Deepak Chopra

Pure analysis puts at our disposal a multitude of procedures whose infallibility it guarantees; it opens to us a thousand different ways on which we can embark in all confidence; we are assured of meeting there no obstacles; but of all these ways, which will lead us most promptly to our goal? Who shall tell us which to choose? We need a faculty which makes us see the end from afar, and intuition is this faculty. It is necessary to the explorer for choosing his route; it is not less so to the one following his trail who wants to know why he chose it. — Henri Poincare

Todd, trust math. As in Matics, Math E. First-order predicate logic. Never fail you. Quantities and their relation. Rates of change. The vital statistics of God or equivalent. When all else fails. When the boulder's slid all the way back to the bottom. When the headless are blaming. When you do not know your way about. You can fall back and regroup around math. Whose truth is deductive truth. Independent of sense or emotionality. The syllogism. The identity. Modus Tollens. Transitivity. Heaven's theme song. The night light on life's dark wall, late at night. Heaven's recipe book. The hydrogen spiral. The methane, ammonia, H2O. Nucleic acids. A and G, T and C. The creeping inevibatility. Caius is mortal. Math is not mortal. What it is is: listen: it's true. — David Foster Wallace

The most common anxiety I hear about learning to program is that people think it requires a lot of math. Actually, most programming doesn't require math beyond basic arithmetic. In fact, being good at programming isn't that different from being good at solving Sudoku puzzles. To solve a Sudoku puzzle, the numbers 1 through 9 must be filled in for each row, each column, and each 3x3 interior square of the full 9x9 board. You find a solution by applying deduction and logic from the starting numbers. For — Albert Sweigart

In law, we talk about a beautiful summation, or a beautiful judgment: and what we mean by that, of course, is the loveliness of not only its logic but its expression. And similarly, in math, when we talk about a beautiful proof, what we're recognizing is the simplicity of the proof, its ... elementalness, I suppose: its inevitability. — Hanya Yanagihara

So how does one go about proving something like this? It's not like being a lawyer, where the goal is to persuade other people; nor is it like a scientist testing a theory. This is a unique art form within the world of rational science. We are trying to craft a "poem of reason" that explains fully and clearly and satisfies the pickiest demands of logic, while at the same time giving us goosebumps. — Paul Lockhart

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition. — Morris Kline

There is no great religion without a great schism. All of them have it. And that's because you're dealing with something called faith. And faith is not something you can prove; faith is personal opinion. Uh, when you're dealing with something with certainty, like, y'know, science or logic, you don't have the
there's no wiggle room; that's why history is not filled with warring math cults, y'know, because you can settle the issue; you can prove something to be right or wrong, and that's the end of the argument: next case. Whereas, when you're dealing with faith, you can forever argue your point, or another point, because you're dealing with intangibles. Personally, I think, faith is what you ask of somebody when you don't have the goods to prove your point. — Tom Quinn

Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend. — Francis Bacon

Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organising our thought. — Frank Plumpton Ramsey

If one were to refuse to have direct, geometric, intuitive insights, if one were reduced to pure logic, which does not permit a choice among every thing that is exact, one would hardly think of many questions, and certain notions ... would escape us completely. — Henri Lebesgue

Logic is rare!
What's the purpose of it and even studying math getting higher results and after all outside nobody uses it? — Deyth Banger

I think a strong claim can be made that the process of scientific discovery may be regarded as a form of art. This is best seen in the theoretical aspects of Physical Science. The mathematical theorist builds up on certain assumptions and according to well understood logical rules, step by step, a stately edifice, while his imaginative power brings out clearly the hidden relations between its parts. A well constructed theory is in some respects undoubtedly an artistic production. A fine example is the famous Kinetic Theory of Maxwell ... The theory of relativity by Einstein, quite apart from any question of its validity, cannot but be regarded as a magnificent work of art. — Ernest Rutherford

Science attempts to find logic and simplicity in nature. Mathematics attempts to establish order and simplicity in human thought. — Edward Teller

A = A is a simplification, one so radical that it sometimes utterly distorts reality. It skins reality alive. Is A = A useful? Does logic come in handy? Is math a magnificent symbolic system with which to comprehend what's around us? And is math based on A = A? Yes. Absolutely. But math and logic are just that - very, very simplified representations. Symbolic systems with massive powers. But symbolic systems that sometimes do enormous injustice to the richness of that which they attempt to represent. Symbol systems that sometimes do enormous injustice to science's greatest mystery, cosmic creativity. — Howard Bloom

My basic philosophy of teaching was straightforward and deeply personal. I wanted to teach the way I wished that I myself had been taught. Which is to say, I hoped to convey the sheer joy of learning, the thrill of understanding things about the universe. I wanted to pass along to students not only the logic but the beauty of math and science. Furthermore, I wanted to do this in a way that would be equally helpful to kids studying a subject for the first time and for adults who wanted to refresh their knowledge; for students grappling with homework and for older people hoping to keep their minds active and supple. — Salman Khan

I loved logic, math, computer programming. I loved systems and logic approaches. And so I just figured architecture is this perfect combination. — Maya Lin

It is all about numbers. It is all about sequence. It's the mathematical logic of being alive. If everything kept to its normal progression, we would live with the sadness
cry and then walk
but what really breaks us cleanest are the losses that happen out of order. — Aimee Bender

Why did math matter so much? Some reasons were practical: More and more jobs required familiarity with probability, statistics, and geometry. The other reason was that math was not just math. Math is a language of logic. It is a disciplined, organized way of thinking. There is a right answer; there are rules that must be followed. More than any other subject, math is rigor distilled. Mastering the language of logic helps to embed higher-order habits in kids' minds: the ability to reason, for example, to detect patterns and to make informed guesses. Those kinds of skills had rising value in a — Amanda Ripley

When intuition and logic agree, you are always right. — Blaise Pascal

Further, the same Arguments which explode the Notion of Luck, may, on the other side, be useful in some Cases to establish a due comparison between Chance and Design: We may imagine Chance and Design to be, as it were, in Competition with each other, for the production of some sorts of Events, and many calculate what Probability there is, that those Events should be rather be owing to the one than to the other. — Abraham De Moivre

In life two negatives don't make a positive. Double negatives turn positive only in math and formal logic. In life things just get worse and worse and worse. — Robert McKee