A Few Quotes

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A few quotes to set the mood...

[I]f it is possible to attain an internal knowledge of history...we shall be able to see in all historic phenomena the expression of a moulding force behind the play of circumstance.
— Christopher Dawson, The Dynamics of World History

As subjects become more understood, they become more mathematical.
— John Ball, The Oxford Guide to Mathematics

The concepts and conclusions of arithmetic, which generalize an enormous amount of experience, reflect in abstract form those relationships in the actual world that are met with constantly and everywhere. It is possible to count the objects in a room, the stars, people, atoms, and so forth. Arithmetic considers certain of their general properties, in abstraction from everything particular and concrete, and it is precisely because it considers only these general properties that its conclusions are applicable to so many cases. The possibility of wide application is guaranteed by the very abstractness of arithmetic, although it is important here that this abstraction is not an empty one but is derived from long practical experience. The same is true for all mathematics, and for any abstract concept or theory...At the same time every abstract concept...is limited in its significance as a result of its very abstractness.
— Aleksandrov, Kolmogorov, and Lavrent'ev, Mathematics: Its Content, Methods, and Meaning, Vol. 1

The object of power is power.
— George Orwell, 1984

But also bearing in mind that...

Many a man has cherished for years as his hobby some vague shadow of an idea, too meaningless to be positively false.
— Charles Sanders Peirce, Chance, Love, and Logic: Philosophical Essays



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