"Arithmetic starts with the integers and proceeds by……" — Abraham Robinson
"Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus."
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Abraham Robinson
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More Arithmetic Quotes
This quote is filed under Arithmetic Quotes,
one of 144 quotes in that category. Here are a few more:
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It seems to me, that if statesmen had a little more arithmetic, or were accustomed to calculation, wars would be…
— Benjamin Franklin
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God looks not at the oratory of your prayers, how elegant they may be; nor at the geometry of your…
— Thomas Brooks
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There is a science of getting rich, and it is an exact science, like algebra or arithmetic. There are certain…
— Wallace D. Wattles
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It's simple arithmetic: "Your income can grow only to the extent you do."
— T. Harv Eker
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As regards authority I so proceed. Boetius says in the second prologue to his Arithmetic, 'If an inquirer lacks the…
— Roger Bacon
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Arithmetic must be discovered in just the same sense in which Columbus discovered the West Indies, and we no more…
— Bertrand Russell
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A great part of its [higher arithmetic] theories derives an additional charm from the peculiarity that important propositions, with the…
— Carl Friedrich Gauss
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Mathematics is the queen of the sciences and arithmetic [number theory] is the queen of mathematics. She often condescends to…
— Carl Friedrich Gauss
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You can either have software quality or you can have pointer arithmetic, but you cannot have both at the same…
— Bertrand Meyer
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I do not believe there is anything useful which men can know with exactitude that they cannot know by arithmetic…
— Nicolas Malebranche
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In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is…
— Unknown Author
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Many who have never had an opportunity of knowing any more about mathematics confound it with arithmetic, and consider it…
— Sofia Kovalevskaya
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