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teaching:topics:calculus:sequences [2022/07/26 13:41] simon |
teaching:topics:calculus:sequences [2022/07/26 13:43] (current) simon |
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Can we possibly get a sensible, finite, answer when we try to add up an infinite number of positive numbers all greater than zero? | Can we possibly get a sensible, finite, answer when we try to add up an infinite number of positive numbers all greater than zero? | ||
- | This is a very ancient problem in mathematics ... and the different ways of resolving (or banishing) it have been profoundly important to mathematics, physics and wider ideas of philosophy. And the history of the development of modern science, technology and industry along with modern economies and societies. | + | This is a very ancient problem in mathematics --- the different ways of resolving (or banishing) it have been profoundly important to mathematics, physics and wider ideas of philosophy. And to the history of the development of modern science, technology and industry along with modern economies and societies. |
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<wrap #paradox>Consider a simple question like this:</wrap> | <wrap #paradox>Consider a simple question like this:</wrap> |