Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.

**Gottlob Frege**

your-discovery-contradiction-caused-me-greatest-surprise-i-would-almost-say-consternation-since-it-has-shaken-basis-on-which-i-intended-to-build-gottlob-frege

maybe-fates-arithmetic-is-diffuse-that-its-not-arithmetic-at-all-david-levithan

arithmetic-is-where-content-lies-not-logic-but-logic-prompts-certainty-not-arithmetic-david-berlinski

Lucy, dear child, mind your arithmetic. You know in the first sum of yours I ever saw there was a mistake. You had carried two (as a cab is licensed to do), and you ought, dear Lucy, to have carried but one. Is this a trifle? What would life be without arithmetic, but a scene of horrors.

**Sydney Smith**

lucy-dear-child-mind-your-arithmetic-you-know-in-first-sum-yours-i-ever-saw-there-was-mistake-you-had-carried-two-as-cab-is-licensed-to-do-you-sydney-smith

In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.

**Jean-Victor Poncelet**

in-fact-gentlemen-no-geometry-without-arithmetic-no-mechanics-without-geometry-you-cannot-count-upon-success-if-your-mind-is-not-sufficiently-jeanvictor-poncelet

The ground for the necessity of Christian schools lies in this very thing, that no fact can be known unless it be known in its relationship to God. And once this point is clearly seen, the doubt as to the value of teaching arithmetic in Christian schools falls out of the picture. Of course arithmetic must be taught in a Christian school. It cannot be taught anywhere else.

**Douglas Wilson**

the-ground-for-necessity-christian-schools-lies-in-this-thing-that-no-fact-can-be-known-unless-it-be-known-in-its-relationship-to-god-and-once-this-point-is-clearly-seen-doubt-as

I know perfectly well that it is impossible, according to arithmetic and scholarly books, to live in a far valley off a handful of ewes and two low yield cows. But we live, I say. You children all lived; your sisters now have sturdy children in far-off districts. And what you are now carrying under your heart will also live and be welcome, little one, despite arithmetic and scholarly books.

**Halldor Laxness**

i-know-perfectly-well-that-it-is-impossible-according-to-arithmetic-scholarly-books-to-live-in-far-valley-off-handful-ewes-two-low-yield-cows-but-we-live-i-say-you-children-all-l

I mean, the piano, of course, but I think the piano should be taught in school just like mathematics, just like reading, writing and arithmetic. I'd say reading, writing, arithmetic and rhythm. But that should be a prerequisite, because then the quality of music in the world at least in the United States, would be much better, if everyone knew something about the piano and about music, they would know this is not good. Right now, there is so much music out that's not good, but no one knows the public doesn't know.

**Gary Bartz**

i-mean-piano-course-but-i-think-piano-should-be-taught-in-school-just-like-mathematics-just-like-reading-writing-arithmetic-id-say-reading-writing-gary-bartz

The correct method for tracking the stock market is to use semilogarithmic chart paper, since the market's history is sensibly related only on a percentage basis. The investor is concerned with percentage gain or loss, not the number of points traveled in a market average. Arithmetic scale is quite acceptable for tracking hourly waves. Channeling techniques work acceptably well on arithmetic scale with shorter term moves.

**Robert Prechter**

the-correct-method-for-tracking-stock-market-is-to-use-semilogarithmic-chart-paper-since-markets-history-is-sensibly-related-only-on-percentage-robert-prechter

If an opinion contrary to your own makes you angry, that is a sign that you are subconsciously aware of having no good reason for thinking as you do. The most savage controversies are those about matters as to which there is no good evidence either way. Persecution is used in theology, not in arithmetic, because in arithmetic there is knowledge, but in theology there is only opinion. So whenever you find yourself getting angry about a difference of opinion, be on your guard; you will probably find, on examination, that your belief is going beyond what the evidence warrants.

**Bertrand Russell**

if-opinion-contrary-to-your-own-makes-you-angry-that-is-sign-that-you-are-subconsciously-aware-having-no-good-reason-for-thinking-as-you-do-the-bertrand-russell

i-do-not-believe-there-is-anything-useful-which-men-can-know-with-exactitude-that-they-cannot-know-by-arithmetic-algebra-nicolas-malebranche

no-man-acquires-property-without-acquiring-with-it-little-arithmetic-also-ralph-waldo-emerson

you-can-either-have-software-quality-you-can-have-pointer-arithmetic-but-you-cannot-have-both-at-same-time-bertrand-meyer

arithmetic-is-kind-knowledge-in-which-best-natures-should-be-trained-which-must-not-be-given-up-plato

your-90mhz-pentium-wont-have-any-trouble-doing-arithmetic-except-for-certain-divisions-paul-dilascia

manners-are-like-zero-in-arithmetic-they-may-not-be-much-in-themselves-but-they-are-capable-adding-great-deal-value-to-everything-else-freya-stark

a-simple-problem-arithmetic-there-are-far-more-ambitions-than-there-are-grand-destinies-available-alain-de-botton

no-employment-can-be-managed-without-arithmetic-no-mechanical-invention-without-geometry-benjamin-franklin

the-different-branches-arithmetic-ambition-geometry-is-not-true-it-is-advantageous-henri-poincare

music-is-hidden-arithmetic-exercise-soul-which-does-not-know-that-it-is-counting-gottfried-leibniz

i-had-running-compiler-nobody-would-touch-it-they-told-me-computers-could-only-do-arithmetic-grace-hopper

it-seems-to-me-that-if-statesmen-had-little-more-arithmetic-were-accustomed-to-calculation-wars-would-be-much-less-frequent-benjamin-franklin

when-i-was-at-school-i-was-terrible-at-algebra-arithmetic-but-i-was-always-best-at-english-literature-and-acting-course-joan-collins

preliminary-accounting-banking-surveying-known-as-arithmetic-algebra-geometry-alan-watts

a-work-art-is-one-mystery-one-extreme-magic-everything-else-is-either-arithmetic-biology-truman-capote

in-creating-world-god-used-arithmetic-geometry-likewise-astronomy-nicholas-cusa

by-all-means-have-you-give-great-attention-to-your-arithmetic-as-its-advantages-are-many-important

as-student-i-was-more-gifted-in-history-geography-things-like-arithmetic-were-not-my-strength

you-niaz-get-me-sick-wannabe-soundin-like-you-know-my-arithmetic-but-we-dont-sound-alike-nas

i-have-no-great-faith-in-political-arithmetic-i-mean-not-to-warrant-exactness-either-these-computations-adam-smith

as-sins-proceed-they-ever-multiply-like-figures-in-arithmetic-last-stands-for-more-than-all-that-wert-before-it-thomas-browne

the-composer-opens-cage-door-for-arithmetic-draftsman-gives-geometry-its-freedom-jean-cocteau

the-analysis-variance-is-not-mathematical-theorem-but-rather-convenient-method-arranging-arithmetic-ronald-fisher

the-most-unsuccessful-three-years-in-education-cost-estimators-appears-to-be-fifthgrade-arithmetic-norman-ralph-augustine

there-is-no-division-nor-subtraction-in-heartarithmetic-good-mother-there-are-only-addition-multiplication-bess-streeter-aldrich

that-arithmetic-is-basest-all-mental-activities-is-proved-by-fact-that-it-is-only-one-that-can-be-accomplished-by-machine-arthur-schopenhauer

arithmetic-algebra-geometry-grandiose-trinity-luminous-triangle-whoever-has-not-known-you-is-without-sense-isidore-ducasse-lautreamont

when-i-came-home-showed-my-mother-my-report-card-with-mark-98-in-arithmetic-she-wanted-to-know-who-had-gotten-other-two-points-sam-levenson

arithmetic-is-numbers-you-squeeze-from-your-head-to-your-hand-to-your-pencil-to-your-paper-till-you-get-answer-carl-sandburg

if-scientific-reasoning-were-limited-to-logical-processes-arithmetic-we-should-not-get-far-in-our-understanding-physical-world-vannevar-bush

calculating-machines-do-sums-better-than-even-cleverest-people-as-arithmetic-has-grown-easier-it-has-come-to-be-less-respected-bertrand-russell

eternity-is-depth-which-no-geometry-can-measure-no-arithmetic-calculate-no-imagination-conceive-no-rhetoric-describe-hannah-more

all-that-passes-for-knowledge-can-be-arranged-in-hierarchy-degrees-certainty-with-arithmetic-facts-perception-at-top-bertrand-russell

i-compare-arithmetic-with-tree-that-unfolds-upwards-in-multitude-techniques-theorems-while-root-drives-into-depths-gottlob-frege

if-arithmetic-overflow-is-fatal-error-some-fascist-pig-with-readonly-mind-is-trying-to-enforce-machine-independence-bill-gosper

to-be-spontaneous-means-not-to-act-out-past-because-out-past-is-all-cunningness-cleverness-calculation-arithmetic-rajneesh

mental-arithmetic-make-me-lunatic-hey-to-heretic-im-feeling-alright-its-alright-robbie-williams