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Routledge History of Philosophy Volume IV

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116 SCIENCE AND MATHEMATICS UP TO DESCARTES<br />

MOTION AND MECHANICAL PHILOSOPHY<br />

The new cosmology necessitated a new theory <strong>of</strong> motion, for, as had been<br />

obvious from the time <strong>of</strong> Copernicus and even before, Aristotelian ‘mechanics’<br />

could not accommodate a moving Earth. Some have even seen cosmological<br />

reform as providing the prime motivation for reform in mechanics, but the old<br />

system also had many strains <strong>of</strong> its own. Aristotle made a sharp distinction<br />

between the celestial and sublunary regions. The former, which we have already<br />

considered in summary fashion, was the province <strong>of</strong> the fifth element and <strong>of</strong><br />

universal circular motions, but the latter was far more chaotic; as also was<br />

Aristotle’s account <strong>of</strong> it, seeing that his usual technique was to start from the<br />

situation in front <strong>of</strong> him and try to impose some semblance <strong>of</strong> order on it, rather<br />

than develop a new science axiomatically from first principles.<br />

All bodies were composed <strong>of</strong> a mixture <strong>of</strong> the four elements, earth, water, air<br />

and fire, and their basic behaviour was dominated by the doctrines <strong>of</strong> natural<br />

places and natural motions. The natural place <strong>of</strong> earth was at the centre <strong>of</strong> the<br />

universe and that <strong>of</strong> fire at the periphery <strong>of</strong> the elementary regions, with the<br />

other two elements being in between. All bodies aspired towards their natural<br />

places, so that a heavy, or predominantly earthy, body would tend to move<br />

downwards and a predominantly fiery one upwards. These motions were<br />

conceived mainly in terms <strong>of</strong> their final causes, and less attention was paid to the<br />

question <strong>of</strong> their efficient causes. This was not the case with violent motions, in<br />

which a body was moving against its own nature. If I am lifting a heavy body, I<br />

am clearly the efficient cause <strong>of</strong> its motion, but if I throw it upwards the situation<br />

is more difficult, since there is no obvious mover once it has parted company<br />

with my hand. Aristotle proved himself a model <strong>of</strong> consistency. The projectile<br />

has nothing in contact with itself except the air surrounding it: therefore the air<br />

must be the mover, and in the process <strong>of</strong> throwing it I must have communicated a<br />

power <strong>of</strong> continuing the motion to the air, which would then, besides moving the<br />

projectile, pass the power on to the succeeding parts <strong>of</strong> itself. Despite the internal<br />

coherence <strong>of</strong> this scheme, it understandably drew much criticism from different<br />

cultural areas, and we find many thought experiments, such as those concerning<br />

the efficacy <strong>of</strong> shooting arrows by means <strong>of</strong> flapping the air behind them. Along<br />

with other Italians, the young Galileo saw these considerations as providing a<br />

fine stick with which to beat Aristotle. Like many <strong>of</strong> their predecessors these<br />

‘radicals’ replaced the power communicated to the air with an internal moving<br />

force communicated to the projectile itself, which in the later Western Middle<br />

Ages was <strong>of</strong>ten known as ‘impetus’.<br />

But Galileo was different in that he came to realize that, even though he was<br />

giving anti-Aristotelian answers, he was still asking Aristotelian questions, and<br />

this led to his imposing a self-denying ordinance whereby he did not consider<br />

causes in his discussions <strong>of</strong> motion. This new attitude took root from around the<br />

beginning <strong>of</strong> the century, and received its most mature public expression in what<br />

is arguably his greatest work, the Discorsi e dimostrazioni matematiche, intorno

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