"Scientia", rivista di scienza: Rivista internazionale di sintesi scientifica, Volume 42

Voorkant
Zanichelli, 1927
 

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Pagina 10 - But hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses: for whatever is not deduced from the phenomena is to be called an hypothesis ; and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanical, have no place in experimental philosophy. In this philosophy particular propositions are inferred from the phenomena, and afterwards rendered general by induction.
Pagina 2 - ... and therefore I offer this work as the mathematical principles of philosophy, for the whole burden of philosophy seems to consist in this — from the phenomena of motions to investigate the forces of nature, and then from these forces to demonstrate the other phenomena; and to this end the general propositions in the first and second Books are directed.
Pagina 2 - I give an example of this in the explication of the System of the World; for by the propositions mathematically demonstrated in the former Books, in the third I derive from the celestial phenomena the forces of gravity with which bodies tend to the sun and the several planets. Then from these forces, by other propositions which are also mathematical, I deduce the motions of the planets, the comets, the moon, and the sea.
Pagina 3 - But whether elastic fluids do really consist of particles so repelling each other, is a physical question. We have here demonstrated mathematically the property of fluids consisting of particles of this kind, that hence philosophers may take occasion to discuss the question.
Pagina 10 - And to us it is enough that gravity does really exist, and act according to the laws which we have explained, and abundantly serves to account for all the motions of the celestial bodies, and of our sea.
Pagina 3 - In the preceding books I have laid down the principles of philosophy, principles not philosophical but mathematical; such, to wit, as we may build our reasonings upon in philosophical inquiries.
Pagina 2 - Therefore geometry is founded in mechanical practice, and is nothing but that part of universal mechanics which accurately proposes and demonstrates the art of measuring.
Pagina 9 - ... our observations of nature, and if also the resultant propositions were verifiable, nevertheless, the intermediate steps employed in our calculations may or may not have any correlations whatsoever with the world of physical phenomena. Newton, however, employing mathematics as a method of procedure, presupposed this general hypothesis that each step in a mathematical demonstration is true of the physical world. Finally, (7) a good hypothesis for Newton does not attempt to answer the why but the...
Pagina 71 - Taking it for .granted that the gravitation of all known bodies has been allowed for in the comparison, and that no unknown bodies exist, the first explanation to occur to us is that the inequalities are only apparent, being perhaps due to fluctuations in the earth's speed of rotation, and therefore in our measure of time. I suggested this explanation in my earlier papers on the subject.
Pagina 3 - I have laid down the principles of philosophy, principles not philosophical, but mathematical; such, to wit, as we may build our reasonings upon in philosophical inquiries. These principles are the laws and conditions of certain motions, and powers or forces...

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