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But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted.

Abraham Robinson

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Infinitesimal Introduction Logical Quite Real Simply Step

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I’ve made it a policy to move every five years, either physically or in my research.
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Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc…
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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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As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
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The Committee supports the idea that there should be, within the University of California
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A campus which puts particular emphasis on the education of undergraduates within the framework of a College system.
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But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted.
ABRAHAM ROBINSON

Infinitesimal Introduction Logical Quite Real Simply Step

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