This is part 2.
...I just ask you to keep the previous phrases in mind henceforth. On the other hand, I also mentioned the following: ...From ~1710 to ~1760 Astronomical problems were solved in England a la Newton and in France a la Descartes. Once Bernoulli confessed that in continental Europe most people were Cartesian, but in England Newtonian. Bernoulli was Cartesian but after returning from a trip to England he became Newtonian...
In particular, I was referring to Daniel Bernoulli (1700-1782) son of Johann Bernoulli (1667-1748), nephew of Jacob Bernoulli and close friend of Leonard Euler. It is worth reminding an illustrative situation among the Bernoullis. At that time some academies used to organize public competitions for natural philosophers. In one of these competitions (I do not recall the exact year, perhaps 1724, and the problem) participants were asked to solved a problem about astronomy. Johann solved it a la Descartes and his Son, Daniel, a la Newton. Both found the solution and both were correct. This caused a split between Daniel and his father. So, the moral here is that despite the mathematical formulation, in essence, they were dealing with the same physics.
From ~1710 to the middle of the XVIII century the transition from Cartesian paradigm to the Newtonian took place. Just bear in mind, for instance, that the transition from the classical physics paradigm to the modern physics paradigm took at least 30 years, but in Newton's epoch the change of a paradigm took a longer time.
The other important factor that was crucial for the acceptance of the Newtonian version of gravity without a medium, i.e., in EMPTY SPACE, was the discovery in the middle of the XVII of vacuum (as you mention). Since vacuum was "feasible" then, some argued, there was no need of a medium. Nevertheless, during the XVIII century many physicists realized that there were different kind of substances. They classified them as ponderable and imponderable substances. As the word implies, the imponderable substances could not be weighted as the others, but most thinkers agreed that they did exist. And here again the phenomena were suggesting some sort of fine and subtle fluid. Electricity and magnetism were one of this kind. Now, recall that the Coulumb's law was discovered in 1785 and some other laws such as Ampere's law, Faraday's law, Ohm's law were all discovered early in the XIX century, only Gauss' law was published in 1866. By this time the notion of aether had already been revived not only because of electric and magnetic phenomena were suggesting it but also because optical phenomena was doing the same. The slit experiment realized by Young by 1799 was decisive in reviving the aether and considering light as a wave in a medium. Young based his ideas on Huygens investigations. So by the middle of the XIX century people had already discovered most of the equations of electromagnetism, but they were all "disconnected". It was only the monumental work of Maxwell that unified electromagnetic phenomena. In his book, the treatise of electricity and magnetism Maxwell wrote:
"The electromagnetic field is that part of space which contains and surrounds bodies in electric or magnetic conditions. It may be filled with any kind of matter, or we may endeaveour to render it EMPTY OF ALL GROSS MATTER as in the case of Geissler's tubes and other so-called VACUA. There is always, however, enough of matter left to receive and transmit the undulations of light and heat, and it is because the transmission of these radiations is not greatly altered when transparent bodies of measurable density are substituted for the so-called VACUUM, that we are obliged to admit that the undulations are those of an aethereal substance, and not of the gross matter, the presence of which merely modifies in some way the motion of the aether. We have therefore some reason to believe, from the phenomena of light and heat, that there is an aethereal medium filling space and permeating bodies, capable of being set in motion and of transmitting that motion from one part to another, and communicating that motion to gross matter so as to heat it and affect it in various ways."
To be continued...
Israel