25.08.2015 Views

In the Beginning was Information

6KezkB

6KezkB

SHOW MORE
SHOW LESS
  • No tags were found...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

F = G x m 1 x m 2 / r 2The force F is given by a constant (<strong>the</strong> so-called gravitational constant,G) multiplied by <strong>the</strong> product of <strong>the</strong> two masses m 1 and m 2 ,divided by <strong>the</strong> square of <strong>the</strong> distance r. <strong>In</strong> addition, it can be mentionedthat <strong>the</strong> effect of a force on an object is to accelerate it. Thismeans that <strong>the</strong> velocity of an object acted on by a force changesfaster when its mass is smaller. Now almost everything worthknowing about <strong>the</strong> law of gravity, has been said. But when this lawis used to compute <strong>the</strong> orbits of <strong>the</strong> planets, it immediatelybecomes clear that <strong>the</strong> effects of a simple natural law can be verycomplex. When <strong>the</strong> relative motions of three bodies are analysed interms of this law, <strong>the</strong> ma<strong>the</strong>matical formulations become quiteintractable.Faraday’s law of electrolysis states that <strong>the</strong> quantity of matter separatedout during electrolysis, is proportional to <strong>the</strong> electrical currentand to its duration (e. g. electroplating with copper or gold).This formulation may seem to be very ma<strong>the</strong>matical, but what itreally means, is that one unit of charge is required to separate oneatom from <strong>the</strong> molecule it belongs to.Conclusion: Laws of nature may be expressed and formulated verballyto any required degree of precision. <strong>In</strong> many cases it is possibleand convenient to formulate <strong>the</strong>m ma<strong>the</strong>matically as well. AsFeynman states [F1, p 41]: “<strong>In</strong> <strong>the</strong> last instance ma<strong>the</strong>matics isnothing more than a logical course of events which is expressedin formulas.” Sir James H. Jeans (1877 – 1946), <strong>the</strong> well-knownBritish ma<strong>the</strong>matician, physicist and astronomer, said [F1, p 58]:“The Great Architect seems to be a ma<strong>the</strong>matician.”N7: The laws of nature are (in principle) falsifiable. To bereally meaningful, a <strong>the</strong>orem must be formulated in such a waythat it could be refuted if it <strong>was</strong> false. The fact that <strong>the</strong> laws ofnature can be formulated <strong>the</strong> way <strong>the</strong>y are, cannot be ascribed tohuman ingenuity, but is a result of <strong>the</strong>ir being established by <strong>the</strong>Creator. After a law has been formulated, we discover that it couldin principle very easily be negated if invalid. This is what makes<strong>the</strong>se laws so important and accords <strong>the</strong>m <strong>the</strong>ir great range ofapplicability.31

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!