"The mind is a compact, multiply connected thought mass with internal connections of the most intimate kind. It grows continuously as new thought masses enter it, and this is the means by which it continues to develop."

Bernhard Riemann On Psychology and Metaphysics ca. 1860

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Monday, December 26, 2016

True Infinities versus Mathematical Models


These days the wise men of mathematics like to pride themselves on computational modeling. For example, they will attempt to evince wonderment with fractal geometry. Yet, the principle of a nested power series of true infinities much more to the point is found very precisely in Nicholas of Cusa's Vision of God. The English translation of which I have linked above. And it is a grievous error to slander Cusa as a "mystic."

For unlike the superstitious worshipers of numbers such as the egregious case of Sir Isaac Newton's numerologic magical mystical tour of the Bible, Cusa was no such fool. But then such precise and poetic irony always escapes the shallow minds of those that falsely believe if they just put a label, number, or price upon the things of their desires then they own them.

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