Silicon Investor (SI) -- The First Internet Community

STOCKTALK

We've detected that you're using an ad content blocking browser plug-in or feature. Ads provide a critical source of revenue to the continued operation of Silicon Investor. We ask that you disable ad blocking while on Silicon Investor in the best interests of our community. If you are not using an ad blocker but are still receiving this message, make sure your browser's tracking protection is set to the 'standard' level.

Politics : Should God be replaced? -- Ignore unavailable to you. Want to Upgrade?

To: TigerPaw who wrote (19120)	1/11/2005 1:09:17 AM
From: E. Charters	Read Replies (2) \| Respond to of 28931

The quanta can still have an infinite amount of points on it. Or calculus would not work. As we make points smaller we make more of 'em like Pope's fleas. "Great fleas have little fleas upon their backs to bite 'em, And little fleas have lesser fleas, and so ad infinitum. And the great fleas themselves, in turn, have greater fleas to go on; While these again have greater still, and greater still, and so on." Barrow, Cauchy and Reimmann showed that Zeno's paradox "could be used" in a calculation of the absolute convergence of an infinite series. This formed the basis of the fundamental theorem of calculus -- that the area of a curve could be exactly derived in a continuous function by the limit of the sum of an infinite series of infintesimal areas underneath that curve, these areas being defined by that function in height - and in width by the infintesimal - And that the anti-derivative of the derivative that the function represented, was the sum of that series. Thus the use of the limit, and the infintesimal in calculation shows that the concept can be used and routinely, "surpassed" in math. Ergo the solutions of Zeno's hangup. EC<:-}