Logic, Math & Reasoning Quotes

Defendit numerus: There is safety in numbers

Are you an expert in a narrow field?


A formal manipulator in mathematics often experiences the discomforting feeling that his pencil surpasses him in intelligence. – Howard Eves

A man has one hundred dollars and you leave him with two dollars. That’s subtraction. – Mae West

A mathematician is a device for turning coffee into theorems. – Paul Erdos

A mind all logic is like a knife all blade. – Rabindranath Tagore

A witty statesman said you might prove anything by figures. – Thomas Carlyle

As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality. – Albert Einstein

A statistician can have his head in the oven and his feet in ice, and on average he feels fine. – Anonymous

After every storm the sun will smile; for every problem there is a solution, and the soul’s indefeasible duty is to be of good cheer. – William R. Alger

All exact science is dominated by the idea of approximation. – Bertrand Russell

All great theorems were discovered after midnight. – Adrian Mathesis

All human actions have one or more of these seven causes: chance, nature, compulsions, habit, reason, passion and desire. – Aristotle

Although I am not stupid, the mathematical side of my brain is like dumb notes upon a damaged piano. – Margot Asquith

An expert problem solver must be endowed with two incompatible qualities: a restless imagination and a patient pertinacity. – Howard Eves

Anger is never without reason, but seldom with a good one. – Benjamin Franklin

As for everything else, so for a mathematical theory: beauty can be perceived but not explained. – Arthur Cayley

Defendit numerus: There is safety in numbers. - Anonymous

Descartes commanded the future from his study more than Napoleon from the throne. – Oliver Holmes

Errors using inadequate data are much less than those using no data at all. – Charles Babbage

Everything that is beautiful and noble is the product of reason and calculation. – Charles Baudelaire

Expert: a man who has made all the mistakes which can be made, in a very narrow field. – Niels Bohr

Familiar things happen, and mankind does not bother about them. It requires a very unusual mind to undertake the analysis of the obvious. – Alfred Whitehead

Faith consists in believing when it is beyond the power of reason to believe. – Anonymous

For every problem, there is one solution which is simple, neat, and wrong. – Henry Mencken

For the things of this world cannot be made known without a knowledge of mathematics. – Roger Bacon

From a drop of water a logician could infer the possibility of an Atlantic or a Niagara without having seen or heard of one or the other. – Sir Arthur Conan Doyle

God does not care about our mathematical difficulties. He integrates empirically. – Albert Einstein

God is like a skilful Geometrician. – Sir Thomas Browne

He who cannot describe the problem will never find the solution to that problem. - Confucius

How quick come the reasons for approving what we like. – Jane Austen

I admit that mathematical science is a good thing. But excessive devotion to it is a bad thing. – Aldous Huxley

I advise my students to listen carefully the moment they decide to take no more mathematics courses. They might be able to hear the sound of closing doors. – James Caballero

I am ill at these numbers. – William Shakespeare

I am quite sure now that often in matters concerning religion and politics, a man’s reasoning powers are not above the monkeys. – Mark Twain

“I can’t” isn’t a reason to give up, it’s a reason to try hard. – Anonymous

I had a feeling once about mathematics – that I saw it all… but it was after dinner and I let it go. – Winston Churchill

I have hardly ever known a mathematician who was capable of reasoning. - Plato

I have the proof, but there isn’t room to write it in the margin. – Anonymous

I know that two and two make four – and should be glad to prove it too if I could – though I must say if by any sort of process I could convert two and two into five it would give me greater pleasure. – Lord Byron

I know what you’re thinking about, but it isn’t so, no how. Contrarywise, if it was so, it might be, and if it were so, it would be. But as it isn’t, it ain’t. That’s logic. – Lewis Carroll

I must study politics and war that my sons may have the liberty to study mathematics and philosophy. – John Adams

I never thought that others would take my theories so much more seriously than I did. – Albert Einstein

I prefer the company of peasants because they have not been educated sufficiently to reason incorrectly. – Michel de Montaigne

I tell them that if they will occupy themselves with the study of mathematics they will find it the best remedy against the lusts of the flesh. – Thomas Mann

I think I think, therefore I think I am. – Ambrose Bierce

I think of lotteries as a tax on the mathematically challenged. – Roger Jones

If a man’s wit be wandering, let him study the mathematics. – Francis Bacon

If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy. – Alfred Renyi

If it’s green, it’s biology. If it stinks, it’s chemistry. If it has numbers, it’s math. If it doesn’t work, it’s technology. – Anonymous

If you ask mathematicians what they do, you always get the same answer. They think. – M. Egrafov

Impossible only means that you haven’t found the solution yet. – (www.Possibells.com - where 'All Things Are Possibell')

In my experience most mathematicians are intellectually lazy. – Francis Crick

If the world were a logical place, men would ride sidesaddle. – Rita Mae Brown

In mathematics you don’t understand things. You just get used to them. – René Descartes

Insanity is often the logic of an accurate mind overtaxed. – Oliver W. Holmes

It has been said that figures rule the world. Maybe. But I am sure that figures tell us whether it is being ruled well or badly. – Johann Wolfgang von Goethe

It is a capital mistake to theorise before one has data. – Sir Arthur Conan Doyle

It is mathematical fact that the casting of this pebble from my hand alters the center of gravity of the universe. – Thomas Carlyle

It is not certain that everything is uncertain. – Blaise Pascal

It is not good enough to have a good mind. The main thing is to use it well. – René Descartes

It is with books as with men: a very small number play a great part, the rest are lost in the multitude. – Voltaire

It would be better for the true physics if there were no mathematicians on earth. – Daniel Bernoulli

Let us grant that the pursuit of mathematics is a divine madness of the human spirit. – Alfred Whitehead

Like dreams, statistics are a form of wish fulfillment. – Jean Baudrillard

Like the crest of a peacock, so is mathematics at the head of all knowledge. – Indian Proverb

Logic is a poor guide compared with custom. – Winston Churchill

Logic is a large drawer, containing some useful instruments, and many more that are superfluous. A wise man will look into it for two purposes: to avail himself of those instruments that are really useful; and to admire the ingenuity with which those that are not so are assorted and arranged. – Charles Colton

Logic is like the sword – those who appeal to it shall perish by it. – Edward Gibbon

Logic is neither science nor an art, but a dodge. – Benjamin Jowett

Logic is one thing and common sense another. – Elbert Hubbard

Logic is the anatomy of thought. – Albert Einstein

Logic is the art of going wrong with confidence. – Joseph Krutch

Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. – Hermann Weyl

Logic, like whiskey, loses its beneficial effect when taken in too large quantities. – Lord Dunsany

Logic takes care of itself; all we have to do is to look and see how it does it. – Ludwig Wittgenstein

Logic is the technique by which we add conviction to truth. – Jean de la Bruyere

Logic: the art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. – Ambrose Bierce

Logic works, metaphysics contemplates. – Joseph Joubert

Man discovers truth by reason only, not by faith. – Tolstoy

Many are destined to reason wrongly; others, not to reason at all, and others to persecute those who reason. - Voltaire

Math is like love – a simple idea but it can get complicated. – R. Drabek

Mathematical genius and artistic genius touch one another. – Gosta Mittag-Leffler

Mathematical rigor is like clothing: in its style it ought to suit the occasion, and it diminishes comfort and restrains freedom of movement if it is neither too loose or too tight. – G.F. Simmons

Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different. – Johann Wolfgang von Goethe

Mathematics consists of proving the most obvious thing in the least obvious way. – George Polya

Mathematics has beauties of its own. – J.W.A. Young

Mathematics knows no races or geographic boundaries. – David Hilbert

Mathematics is a game played according to certain simple rules with meaningless marks on paper. – David Hilbert

Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state. – Plato

Mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. – Charles Peirce

Mathematics is indeed dangerous in that it absorbs students to such a degree that it dulls their senses to everything else. – Prinz zu Hohlenlohe-Ingelfingen Kraft

Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness where the explorers often get lost. – W.S. Anglin

Mathematics is the cheapest science. All one needs for mathematics is a pencil and a paper. – George Polya

Mathematics is the science which uses easy words for hard ideas. – James Roy Newman

Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff to any degree of fineness. – Thomas Huxley

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. – René Descartes

Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude. – Friedrich Nietzsche

Measure what is measurable, and make measurable what is not so. - Galileo Galilei

Men are apt to mistake the strength of their feeling for the strength of their argument. The heated mind resents the chill touch and relentless scrutiny of logic. – William Gladstone

Most of our so-called reasoning consists in finding arguments for going on believing as we already do. – James Harvey Robinson

No, no, you’re not thinking; you’re just being logical. – Niels Bohr

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science. – Mary Somerville

Numbers have neither substance, nor meaning, nor qualities. They are nothing but marks. – Hermann Weyl

Not everything that can be counted counts, and not everything that counts can be counted. – Albert Einstein

Number theorists are like lotus-eaters – having once tasted of this food they can never give it up. – Leopold Kronecker

‘Obvious’ is the most dangerous word in mathematics. – Eric T. Bell

Often statistics are used as a drunken man uses lamp posts… for support rather than illumination. – Andrew Lang

Old mathematicians never die, they just lose their functions. – Joe-kster

Old statisticians never die, they are just broken down by age and sex. – Anonymous

On earth there is nothing great but man; in man there is nothing great but mind. – Sir William Hamilton

Once people begin to reason, all is lost. – Voltaire

One of the big misapprehensions about mathematics that we perpetrate in our classrooms is that the teacher always seems to know the answer to any problem that is discussed. – Leon Henkin

One of the endearing things about mathematicians is the extent to which they will go to avoid doing any real work. – Matthew Pordage

Order is Heaven’s first law. – Alexander Pope

Perhaps the most surprising thing about mathematics is that it is so surprising. – E.C. Titchmarsh

Perfect numbers, like perfect men, are very rare. – René Descartes

Physicists know what’s important but they don’t know what is true. Mathematicians know what’s true but they don’t know what is important. – Anonymous

Proof is an idol before whom the pure mathematician tortures himself. – Sir Arthur Eddington

Pure logic is the ruin of the spirit. – Antoine de Saint-Exupéry

Pure mathematics, may it never be of any use to anyone. – Henry Smith

Reason can wrestle and overthrow terror. – Euripides

Science is built up with facts, as a house is with stones. But a collection of facts is not more a science than a heap of stones is a house. – Jules Poincaré

Seek simplicity and distrust it. – Alfred Whitehead

Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more. – Albert Einstein

Six is a number perfect in itself, and not because God created the world in six days; rather the contrary is true. God created the world in six days because this number is perfect, and it would remain perfect, even if the work of the six days did not exist. – St. Augustine

Small minds are concerned with the extraordinary, great minds with the ordinary. – Blaise Pascal

Stand firm in your refusal to remain conscious during algebra. In real life there is no such thing as algebra. – Fran Lebowitz

Statistician: A man who believes figures don’t lie, but admits that under analysis some of them won’t stand up either. – Evan Esar

Statistics are like bikinis. What they reveal is suggestive, but what they conceal is vital. – Aaron Levenstein

Statistics are no substitute for judgement. – Henry Clay

Statistics have shown that mortality increases perceptibly in the military during wartime. – Alphonse Allais

Statistics: the mathematical theory of ignorance. – Morris Kline

Statistics: the only science that enables different experts using the same figures to draw different conclusions. – Evan Esar

That logic has advanced in this sure course, even from the earliest times, is apparent from the fact that, since Aristotle, it has been unable to advance a step, and thus to all appearance has reached its completion. – Immanuel Kant

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

The age of chivalry is gone. That of sophisters, economists and calculators has succeeded. – Edmund Burke

The best defense against logic is ignorance. – Blaise Pascal

The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation. – Marquis de Custine

The concept of number is the obvious distinction between the beast and man. – Joseph de Maistre

The control of large numbers is possible, and like unto that of small numbers, if we subdivide them. – Sun Tze

The fact is there are few more popular subjects than mathematics. Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune. – Godfrey Hardy

The fact that logic cannot satisfy us awakens an almost insatiable hunger for the irrational. – A.N. Wilson

The formulation of a problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill. – Albert Einstein

The laws of probability – so true in general, so fallacious in particular. – Edward Gibbon

The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful. – Aristotle

The mathematician is entirely free, within the limits of the imagination, to construct what worlds he pleases. – J.W.N. Sullivan

The mathematician may be compared to a designer of garments, who is utterly oblivious of all the creatures who his garments may fit. - Dantzig

The mathematician’s patterns, like the painter’s or the poet’s, must be beautiful – there is no permanent place in this world for ugly mathematics. – Godfrey Hardy

The mind has its own logic but does not often let others in on it. – Bernard Devoto

The more one analyzes people, the more all reasons for analysis disappear. Sooner or later one comes to that dreadful universal thing called human nature. – Oscar Wilde

The most painful thing about mathematics is how far away you are from being able to use it after you have learned it. – James Newman

The real danger is not that computers will begin to think like men, but that men will begin to think like computers. – Sydney Harris

The solution of every problem is another problem. – Johann Wolfgang von Goethe

The supreme function of reason is to show man that some things are beyond reason. – Blaise Pascal

The trouble with facts is that there are so many of them. – Samuel Crothers

The true triumph of reason is that it enables us to get along with those who do not possess it. - Voltaire

The whole is more than the sum of its parts. – Aristotle

The will of man is by his reason swayed. – Izaak Walton

The words ‘figure’ and ‘fictitious’ both derive from the same Latin root, ‘fingere.’ Beware! – M.J. Moroney

There are no deep theorems – only theorems that we have not understood very well. – Nicholas Goodman

There are three kinds of lies: lies, damned lies, and statistics. – Benjamin Disraeli

There are three kinds of mathematicians: those who can count and those who can’t. – Joe-kster

There’s no problem so big or complicated that it can’t be run away from. - Anonymous

Though this be madness, yet there is method in’t. – William Shakespeare

Time heals what reason cannot. - Seneca

To the wise, life is a problem; to the fool, a solution. – Marcus Aurelius

Today, it is not only that our kings do not know mathematics, but our philosophers do not know mathematics and – to go further – our mathematicians do not know mathematics. – J. Robert Oppenheimer

Viewed from the summit of reason, all life looks like a malignant disease and the world like a madhouse. – Johann Wolfgang von Goethe

We all have enough strength to follow our reason. – François de la Rochefoucauld

We arrive at the truth, not by reason only, but also by the heart. – Blaise Pascal

We used to think that if we knew one, we knew two, because one and one are two. We are finding that we must learn a great deal more about ‘and.’ – Sir Arthur Eddington

Whatever you can, count. – Sir Francis Bacon

When angry, count four; when very angry, swear. – Mark Twain

When I am violently beset with temptations, or cannot rid myself of evil thoughts, I resolve to do some arithmetic, or geometry… which necessarily engages all my thoughts, and unavoidably keeps them from wandering. – Jonathon Edwards

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

Where so many hours have been spent in convincing myself that I am right, is there not some reason to fear that I may be wrong? – Jules Henri Poincaré

You always admire what you really do not understand. – Blaise Pascal

You can only find truth with logic if you have found truth without it. – G.K. Chesterton

You cannot reason with a hungry belly; it has no ears. – Greek Proverb


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13-Dec-2017