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The man who never alters his opinion is like standing water, & breeds reptiles of the mind.

(William Blake, The Marriage of Heaven and Hell)

к дню св. Патрика

On my own
Hour after hour
Sipping cocktails
And reading Schopenhauer
Living in a world
Without imagination
I see that hope
Is a lack of information
I turn my back
I shut the door
I lock the key
A prisoner in my home
But it’s lovely to be free

Угадайте, кто.

математику уже затем учить следует, что она ум в порядок приводит

... I guess I’m reminded of a notion advanced by the great medieval philosopher and mathematical-mystic Nicolas of Cusa. He was trying to worry out the difference between rationality and faith as ways of attaining divine wisdom, and he suggested one might consider an n-sided regular polygon with an ever increasing number of sides. Equilateral Triangle… square…regular pentagon, and so forth. The more sides you added, the closer you would get to a circle, right? A million-sided regular polygon in fact would look almost exactly like a circle. And yet, Nicolas insisted, actually, it would be incredibly far from being a circle, and getting further and further with each additional side, since of course a circle has NO angles and only ONE side. At some point, Nicolas suggested, you would have to make the leap (the leap of faith, as he termed it) from the chord to the arc. And that leap could only be accomplished in grace.
The Transom Review: Lawrence Weschler

... The subtlety that appears to have eluded Bishop Berkeley is that, although we initially think of h as denoting smaller and smaller numbers, the "lim" term in [the] formula [defining the derivative of a function] asks us to take a leap (and it's a massive one) to imagine not just calculating quotients infinitely many times, but regarding that entire process as a single entity. It's actually a breathtaking leap.
Keith Devlin, "Letter to a calculus student"

к вопросу о стереометрии драконов

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