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Numbers Quotes

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Numbers Quotes

“My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this? Because I have studied it from all sides for many years; because I have examined all objections which have ever been made against the infinite numbers; and above all because I have followed its roots, so to speak, to the first infallible cause of all created things.”

“The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.”

“Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers.”

“We think of the number "five" as applying to appropriate groups of any entities whatsoever - to five fishes, five children, five apples, five days... We are merely thinking of those relationships between those two groups which are entirely independent of the individual essences of any of the members of either group. This is a very remarkable feat of abstraction; and it must have taken ages for the human race to rise to it”

“The Jewish question exists wherever the Jews live, however small their number. Where it does not exist it is imported by Jew immigrants. We naturally go where we are not persecuted, and, still persecution is the result of our appearance...By persecution we cannot be exterminated...the strong Jews turn proudly to their race when persecution bursts out. Entire branches of Judaism may disappear, break away; the tree lives.”

“The number of small businesses in the United States totals about 25 million. Because most of these have a local trading territory, relatively few advertise online. Online advertising reaches the masses of the Internet world, whether they are local or not.”

“Linux evolved in a completely different way. From nearly the beginning, it was rather casually hacked on by huge numbers of volunteers coordinating only through the Internet.”