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By Gerard Radnitzky, W. W. Bartley, Karl Popper

"Bartley and Radnitzky have performed the philosophy of data an immense provider. students now have a very good and up to date presentation of the elemental rules of evolutionary epistemology."
—Philosophical Books

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And it will be necessary to make such test procedures as systematic as possible. One necessary (and usually sufficient) criterion of convergence is that subsequent corrections become smaller and smaller. Whether an iterative process is a convergent one, might be left to subsequent judgment, to trial and error, to success and failure. But to get it started, initial state and feedback strategy are indispensable. A good scientist does not keep in mind all minute details, he uses a strategy to find them from less specific information.

No, a sequence of ever-improved chronometers -heartbeat, pendulum, balance, quartz crystal, molecules, atoms, nuclei . . And, of course, improved chronometers may be used to detect deficiencies in the supposed isochrony of their predecessors: The heartbeat is known to be irregular, the circular pendulum does not swing isochronously (not even Huygens's cycloidal pendulum which does much better), nor do balances or crystals. Nothing is perfect, but we may improve upon everything. y. How are temperatures measured?

This "circular" procedure is repeated until it gives no more correction. The field is then said to be "self-consistent": the electron distribution is such that the field it produces causes precisely this very electronic motion and charge distribution. Although this may sound circular, it is not, of course. It is rather a self-correcting approximative procedure of great value. e. Any other iterative process could be called upon. The approximate procedures of mathematics are uncountable. Very simple, but still very impressive are the traditional methods to find approximative solutions to equations, notably of higher degree, or-what amounts to the same-zeros of functions.

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