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Evo sta Platon govori o tome:
Plato argues the merits of harmonics:
'Motion,' I said, 'has many forms, and not just one. Two of them are obvious enough even to brains no better than ours; but there are others, as I imagine, which may be left to experts.'
'But what are the two?'
'There is a second,' I said, 'which is the counterpart of the one already named.'
'And what is that?'
'The second,' I said, 'would seem to relate to the ears in the same way that the first relates to the eyes. For I believe that as the eyes are designed to look up at the stars, so are the ears are designed to hear movements of harmony, and these are sister sciences - as the Pythagoreans say, and we, Glaucon, agree with them?'
'Yes,' he replied.
'But this,' I said, 'is a long and difficult study, and therefore we had better go and consult them on the subject and they will tell us whether there are any other applications of these sciences. At the same time, we must not lose sight of our own higher principles.'
'What is that?'
'There is a level which all knowledge ought to reach, and which our pupils ought also to attain, and not to fall short of, as I was saying that they did in astronomy. For in the science of harmony, as you probably know, the same thing happens. The teachers of harmony compare the sounds and consonances which are audible, and their labour, like that of the astronomers, is in vain.'
'Yes, by heaven!' he said, 'and its as good as a play to hear them talking about their condensed notes, as they call them. They put their ears close alongside of the strings like people trying to hear a sound through their neighbour's wall - some of them declaring that they can distinguish an intermediate note and have found the least interval which should be the unit of measurement, while the others insist that there is no difference between the two notes - both lots are putting their ears before their understanding.'
'You mean,' I said, 'those gentlemen who tease and torment the strings and twist them on the pegs of the instrument. I might continue the metaphor and speak after their manner of the blows which the plectrum gives, and make accusations against the strings, both of backwardness and forwardness to sound - but this would be tedious, and therefore I will only say that these are not the men, and that I am referring to the Pythagoreans, of whom I was just now proposing to enquire about harmony. For they too are in error in the same way as the astronomers. They investigate the numerical relationships between the harmonies which are heard, but they never get as far as formulating problems - that is to say, they never reach the natural harmonies of number, or reflect why some numbers are harmonious and others not.'
'That,' he said,' would be a fearsome job.'
'Nevertheless, a thing,' I replied, 'which I would rather call useful, that is, if investigated with a view to the beautiful and good. But if pursued in any other spirit, it is useless.'
'Very true,' he said.
Mozda nije vreme da se govori o svemu, imajuci u vidu takve bahate i agresivne naucnike. Ali mislim da takvima vise znanje nije ni dostupno. Nedohvatljivo je za njih.
U samoj hijerarhiji zakona, po mom misljenju moraju da se ispostuju neke stvari. Dakle vreme, brzina, masa, i prostor, moraju da imaju istu definiciju. I zakon, da sto je u malom, to je i u velikom, isto tako mora da se ispostuje. Vreme je promena. Harmonija sama namece svoje zakone, i mi ih ne mozemo zaobici. Ovde ne bih izvodio matematicku formulaciju, zato sto je po sadasnjim matematickim standardima, izuzetno komplikovana. Ali ne sadrzi compromise, i ponudjena resenja, kao u slucajevima Aristotelove fizike, i Russelovog paradoksa, koji je ustvari izvorno Ernst Zermelov. Posto ovaj post pisem na forumu fizike, vama i svim ljudima dobre volje, smatram da je moj rad objavljen u naucnim krugovima . =)
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