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Function Quotes

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Function Quotes

“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.”

“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

“Unlike Hegel's progress model of history, which moves by stages, each containing its own logic of growth and decline, the economic model develops as the simple function of one money-variable over time, with a long-term trend which increases monotonically.”

“You love the person for who they are, flaws and all. You can't help who you love, either. It comes from a different side of your brain than the logic part that tells you that this person is horrible for you - "You should walk away!" While you're walking away, the other part of your brain is trying to gain control of your bodily functions. "Turn around! She's the one!"”

“Why ... do the myths of America the Hateful take such powerful hold? Because anti-Americanism provides a useful emotional function which goes beyond logic and reaches deep into the darker recesses of the European soul. In centuries past those on the Left who wished to personalise their hatred of capitalism, who sought to make it emotionally resonant by fastening an envious political passion on to a blameless scapegoat people, embraced anti-Semitism. It was the socialism of fools. Which is what anti-Americanism is now.”

“Education either functions as an instrument which is used to facilitate integration of the younger generation into the logic of the present system and bring about conformity or it becomes the practice of freedom, the means by which men and women deal critically and creatively with reality and discover how to participate in the transformation of their world.”

“The true function of logic ... as applied to matters of experience ... is analytic rather than constructive; taken a priori, it shows the possibility of hitherto unsuspected alternatives more often than the impossibility of alternatives which seemed prima facie possible. Thus, while it liberates imagination as to what the world may be, it refuses to legislate as to what the world is”

“Your body will argue that there is no justifiable reason to continue. Your only recourse is to call on your spirit, which fortunately functions independently of logic.”